P. Kapitza, Viscosity of Liquid Helium below the ??-Point, Nature, vol.141, issue.3558, p.74, 1938.
DOI : 10.1038/141074a0

J. F. Allen and A. D. Misener, Flow of Liquid Helium II, Nature, vol.141, issue.3558, p.75, 1938.
DOI : 10.1038/141075a0

E. J. Yarmchuck, M. J. Gordon, and R. Packard, Observation of Stationary Vortex Arrays in Rotating Superfluid Helium, Physical Review Letters, vol.43, issue.3, p.214, 1979.
DOI : 10.1103/PhysRevLett.43.214

M. C. Gutzwiller, Effect of Correlation on the Ferromagnetism of Transition Metals, Physical Review Letters, vol.10, issue.5, p.159, 1962.
DOI : 10.1103/PhysRevLett.10.159

R. Proc and . Soc, A, Electron Correlations in Narrow Energy Bands, p.1365, 1963.

J. Kanamory, Electron Correlation and Ferromagnetism of Transition Metals, Progress of Theoretical Physics, vol.30, issue.3, 1963.
DOI : 10.1143/PTP.30.275

R. P. Feynman, Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, p.467488, 1982.
DOI : 10.1007/BF02650179

P. D. Lett, R. N. Watts, C. I. Westbrook, W. D. Phillips, P. L. Gould et al., Observation of Atoms Laser Cooled below the Doppler Limit, Physical Review Letters, vol.61, issue.2, pp.169-172, 1988.
DOI : 10.1103/PhysRevLett.61.169

N. Davidson, H. J. Lee, M. Kasevich, and S. Chu, Raman cooling of atoms in two and three dimensions, Physical Review Letters, vol.72, issue.20, pp.3158-3161, 1994.
DOI : 10.1103/PhysRevLett.72.3158

M. Anderson, J. Ensher, M. Matthews, C. Wieman, and E. Cornell, Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor, Science, vol.269, issue.5221, p.198, 1995.
DOI : 10.1126/science.269.5221.198

B. Ketterle, Einstein condensation in a gas of sodium atoms, Phys. Rev. Lett, vol.75, issue.22, pp.3969-3973, 1995.

B. Demarco and D. Jin, Onset of Fermi Degeneracy in a Trapped Atomic Gas, Science, vol.285, issue.5434, pp.285-1703, 1999.
DOI : 10.1126/science.285.5434.1703

A. L. Gaunt, T. F. Schmidutz, I. Gotlibovych, R. P. Smith, and Z. Hadzibabic, Bose-Einstein Condensation of Atoms in a Uniform Potential, Physical Review Letters, vol.110, issue.20, 2013.
DOI : 10.1103/PhysRevLett.110.200406

M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. , One dimensional bosons: From condensed matter systems to ultracold gases, Reviews of Modern Physics, vol.83, issue.4, p.1405, 2011.
DOI : 10.1103/RevModPhys.83.1405

URL : https://hal.archives-ouvertes.fr/ensl-00647350

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht et al., Direct observation of Anderson localization of matter waves in a controlled disorder, Nature, vol.100, issue.7197, pp.891-894, 2008.
DOI : 10.1038/nature07000

URL : https://hal.archives-ouvertes.fr/hal-00271681

C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Reviews of Modern Physics, vol.82, issue.2, p.1225, 2010.
DOI : 10.1103/RevModPhys.82.1225

H. Weimer, R. Low, T. Pfau, and H. P. Buchler, Quantum Critical Behavior in Strongly Interacting Rydberg Gases, Physical Review Letters, vol.101, issue.25, p.250601, 2008.
DOI : 10.1103/PhysRevLett.101.250601

A. Griesmaier, Generation of a dipolar Bose???Einstein condensate, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.40, issue.14, p.91, 2007.
DOI : 10.1088/0953-4075/40/14/R01

M. Greiner, O. Mandel, T. Esslinger, T. Hansch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature, vol.415, issue.6867, pp.39-44, 2002.
DOI : 10.1038/415039a

M. Kohl, H. Moritz, T. Stoferle, K. Gonter, and T. Esslinger, Fermionic Atoms in a Three Dimensional Optical Lattice: Observing Fermi Surfaces, Dynamics, and Interactions, Physical Review Letters, vol.94, issue.8, pp.1-4, 2005.
DOI : 10.1103/PhysRevLett.94.080403

J. Dalibard, F. Gerbier, G. Juzeliunas, and P. Ohberg, : Artificial gauge potentials for neutral atoms, Reviews of Modern Physics, vol.83, issue.4, p.1523, 2011.
DOI : 10.1103/RevModPhys.83.1523

F. Schreck, L. Khaykovich, K. L. Corwin, G. Ferrari, T. Bourdel et al., Quasipure Bose-Einstein Condensate Immersed in a Fermi Sea, Physical Review Letters, vol.87, issue.8, p.80403, 2001.
DOI : 10.1103/PhysRevLett.87.080403

URL : https://hal.archives-ouvertes.fr/hal-00001627

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Vortex Formation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.84, issue.5, p.5, 2000.
DOI : 10.1103/PhysRevLett.84.806

N. Bogoliubov, ON THE THEORY OF SUPERFLUIDITY, J. Phys, vol.11, issue.23, 1947.
DOI : 10.1016/B978-0-08-015816-7.50020-1

T. D. Lee, K. Huang, and C. N. Yang, Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties, Physical Review, vol.106, issue.6, pp.1135-1145, 1957.
DOI : 10.1103/PhysRev.106.1135

R. J. Donelli, J. A. Donelli, and R. N. Hills, Specific heat and dispersion curve for helium II, Journal of Low Temperature Physics, vol.25, issue.5-6, p.471, 1981.
DOI : 10.1007/BF00117839

J. Steinhauer, R. Ozeri, N. Katz, and N. Davidson, Excitation Spectrum of a Bose-Einstein Condensate, Physical Review Letters, vol.88, issue.12, p.120407, 2002.
DOI : 10.1103/PhysRevLett.88.120407

S. Nascimbene, N. Navon, K. J. Jiang, F. Chevy, and C. Salomon, Exploring the thermodynamics of a universal Fermi gas, Nature, vol.327, issue.7284, pp.1057-1060, 2010.
DOI : 10.1038/nature08814

URL : https://hal.archives-ouvertes.fr/hal-00429448

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Cold Bosonic Atoms in Optical Lattices, Physical Review Letters, vol.81, issue.15, p.3108, 1998.
DOI : 10.1103/PhysRevLett.81.3108

S. Waseem, J. I. Bakr, A. Gillen, S. Peng, M. Folling et al., A quantum gas microscope for detecting single atoms in a Hubbard regime optical lattice, Nature, issue.7269, p.462, 2009.

C. Weitenberg, M. Endres, F. Jacob, M. Sherson, P. Cheneau et al., Single-spin addressing in an atomic Mott insulator, Nature, vol.153, issue.7338, pp.471319-471343, 2011.
DOI : 10.1038/nature09827

URL : https://hal.archives-ouvertes.fr/hal-01397838

A. Omran, M. Boll, T. A. Hilker, K. Kleinlein, G. Salomon et al., Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases, Physical Review Letters, vol.115, issue.26, p.263001, 2015.
DOI : 10.1103/PhysRevLett.115.263001

L. W. Cheuk, M. A. Nichols, K. R. Lawrence, M. Okan, H. Zhang et al., with Single-Site Resolution, Physical Review Letters, vol.116, issue.23, p.235301, 2016.
DOI : 10.1103/PhysRevLett.116.235301

D. Greif, M. F. Parsons, A. Mazurenko, C. S. Chiu, S. Blatt et al., Site-resolved imaging of a fermionic Mott insulator, Science, vol.351, issue.6276, p.953, 2016.
DOI : 10.1126/science.aad9041

]. S. Utsunomiya, L. Tian, G. Roumpos, C. W. Lai, N. Kumada et al., Observation of Bogoliubov excitations in exciton-polariton condensates, Nature Physics, vol.11, issue.9, pp.700-705, 2008.
DOI : 10.1103/PhysRevLett.82.4569

M. Weidemuller, T. Esslinger, M. A. Ol-'shanii, A. Hemmerich, and T. W. Hansch, A Novel Scheme for Efficient Cooling below the Photon Recoil Limit, Europhysics Letters (EPL), vol.27, issue.2, p.109, 1994.
DOI : 10.1209/0295-5075/27/2/006

G. Salomon, L. Fouche, P. Wang, A. Aspect, P. Bouyer et al., K to a high phase-space density, EPL (Europhysics Letters), vol.104, issue.6, p.63002, 2013.
DOI : 10.1209/0295-5075/104/63002

URL : https://hal.archives-ouvertes.fr/hal-00870074

D. Nath, R. Kollengode-easwaran, G. Rajalakshmi, and C. S. Unnikrishnan, K atoms in gray molasses, Physical Review A, vol.88, issue.5, p.53407, 2013.
DOI : 10.1103/PhysRevA.88.053407

G. Colzi, G. Durastante, E. Fava, S. Serafini, G. Lamporesi et al., Sub-Doppler cooling of sodium atoms in gray molasses, Physical Review A, vol.93, issue.2, p.23421, 2016.
DOI : 10.1103/PhysRevA.93.023421

A. T. Grier, I. Ferrier-barbut, B. S. Rem, M. Delehaye, and L. Khaykovich, gray molasses, Physical Review A, vol.87, issue.6, p.63411, 2013.
DOI : 10.1103/PhysRevA.87.063411

URL : https://hal.archives-ouvertes.fr/hal-00818128

L. Hoendervanger, A New Metastable Helium Machine : An Investigation into the Attributes of Trapping, Cooling and Detecting Metastable Helium, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01124010

T. W. Hansch and A. L. Schawlow, Cooling of gases by laser radiation, Optics Communications, vol.13, issue.1, p.68, 1975.
DOI : 10.1016/0030-4018(75)90159-5

D. Wineland and H. Dehmelt, Proposed 10 14 ??/? Laser Fluorescence Spectroscopy on T I + Mono-Ion Oscillator, Bull. Am, Phys. Soc, vol.20, p.637, 1975.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, and A. Ashkin, Three-dimensional viscous confinement and cooling of atoms by resonance radiation pressure, Physical Review Letters, vol.55, issue.1, p.48, 1985.
DOI : 10.1103/PhysRevLett.55.48

P. D. Lett, W. D. Phillips, S. L. Rolston, C. E. Tanner, R. N. Watts et al., Optical molasses, Journal of the Optical Society of America B, vol.6, issue.11, p.2084, 1989.
DOI : 10.1364/JOSAB.6.002084

D. S. Weiss, E. Riis, Y. Shevy, P. J. Ungar, and S. Chu, Optical molasses and multilevel atoms: experiment, Journal of the Optical Society of America B, vol.6, issue.11, p.2072, 1989.
DOI : 10.1364/JOSAB.6.002072

C. Salomon, J. Dalibard, W. D. Phillips, A. Clairon, and S. Guellati, Laser Cooling of Cesium Atoms Below 3 ??K, Europhysics Letters (EPL), vol.12, issue.8, p.683, 1990.
DOI : 10.1209/0295-5075/12/8/003

J. Dalibard and C. Cohen-tanoudji, Laser cooling below the Doppler limit by polarization gradients: simple theoretical models, Journal of the Optical Society of America B, vol.6, issue.11, p.2023, 1989.
DOI : 10.1364/JOSAB.6.002023

P. J. Ungar, D. S. Weiss, E. Riis, and S. Chu, Optical molasses and multilevel atoms: theory, Journal of the Optical Society of America B, vol.6, issue.11, p.2058, 1989.
DOI : 10.1364/JOSAB.6.002058

M. Chalony, A. Kastberg, B. Klappauf, and D. Wilkowski, Doppler Cooling to the Quantum Limit, Doppler Cooling to the Quantum Limit, p.243002, 2011.
DOI : 10.1103/PhysRevLett.107.243002

URL : https://hal.archives-ouvertes.fr/hal-00608303

G. Zinner, T. Binnewies, and F. Riehle, Photoassociation of Cold Ca Atoms, Physical Review Letters, vol.85, issue.11, p.2292, 2000.
DOI : 10.1103/PhysRevLett.85.2292

E. A. Curtis, C. W. Oates, and L. Hollberg, to near the photon recoil limit, Physical Review A, vol.64, issue.3, p.31403, 2001.
DOI : 10.1103/PhysRevA.64.031403

J. Grunert and A. Hemmerich, Optimizing the production of metastable calcium atoms in a magneto-optical trap, Applied Physics B, vol.73, issue.8, p.815, 2001.
DOI : 10.1007/s003400100768

U. Dammalapati, I. Norris, L. Maguire, M. Borkowski, and E. Riis, A compact magneto-optical trap apparatus for calcium, Measurement Science and Technology, vol.20, issue.9, p.95303, 2009.
DOI : 10.1088/0957-0233/20/9/095303

T. Binnewies, G. Wilpers, U. Sterr, F. Riehle, J. Helmcke et al., Doppler Cooling and Trapping on Forbidden Transitions, Doppler Cooling and Trapping on Forbidden Transitions, p.123002, 2001.
DOI : 10.1103/PhysRevLett.87.123002

URL : http://arxiv.org/abs/physics/0105069

. Th, K. Kisters, F. Zeiske, J. Riehle, and . Helmcke, High-Resolution Spectroscopy With Laser-Cooled and Trapped Calcium Atoms, Appl. Phys. B, vol.59, p.89, 1994.

K. Sengstock, U. Sterr, J. H. Muller, V. Rieger, D. Bettermann et al., Optical Ramsey spectroscopy on laser-trapped and thermal Mg atoms, Applied Physics B Lasers and Optics, vol.26, issue.2, p.99, 1994.
DOI : 10.1007/BF01081160

M. Riedmann, H. Kelkar, T. Wubbena, A. Pape, A. Kulosa et al., Beating the density limit by continuously loading a dipole trap from millikelvin-hot magnesium atoms, Physical Review A, vol.86, issue.4, p.43416, 2012.
DOI : 10.1103/PhysRevA.86.043416

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-gonokami, Magneto-Optical Trapping and Cooling of Strontium Atoms down to the Photon Recoil Temperature, Physical Review Letters, vol.82, issue.6, p.1116, 1999.
DOI : 10.1103/PhysRevLett.82.1116

X. Xu, T. H. Loftus, M. J. Smith, J. L. Hall, A. Gallagher et al., Dynamics in a two-level atom magneto-optical trap, Physical Review A, vol.66, issue.1, p.11401, 2002.
DOI : 10.1103/PhysRevA.66.011401

T. Kuwamoto, K. Honda, Y. Takahashi, and T. Yabuzaki, Magneto-optical trapping of Yb atoms using an intercombination transition, Physical Review A, vol.60, issue.2, p.745, 1999.
DOI : 10.1103/PhysRevA.60.R745

T. Loftus, J. R. Bochinski, and T. W. Mossberg, Probing magneto-optic trap dynamics through weak excitation of a coupled narrow-linewidth transition, Physical Review A, vol.61, issue.6, p.61401, 2000.
DOI : 10.1103/PhysRevA.61.061401

S. Dorscher, B. Thobe, A. Hundt, R. Kochanke, P. Le-targat et al., Creation of quantum-degenerate gases of ytterbium in a compact 2D-/3D-magneto-optical trap setup, Review of Scientific Instruments, vol.84, issue.4, p.43109, 2013.
DOI : 10.1063/1.4802682

S. K. Choi, S. E. Park, J. Chen, and V. G. Minogin, Three-dimensional analysis of the magneto-optical trap for (1+3)-level atoms, Physical Review A, vol.77, issue.1, p.15405, 2008.
DOI : 10.1103/PhysRevA.77.015405

T. Chaneliere, J. Meunier, R. Kaiser, C. Miniatura, and D. Wilkowski, Extra-heating mechanism in Doppler cooling experiments, Journal of the Optical Society of America B, vol.22, issue.9, p.1819, 2005.
DOI : 10.1364/JOSAB.22.001819

URL : https://hal.archives-ouvertes.fr/hal-00003643

S. Chang, T. Y. Kwon, H. S. Lee, and V. G. Minogin, Two-photon laser-cooling mechanism in multilevel interaction schemes, Physical Review A, vol.60, issue.4, p.3148, 1999.
DOI : 10.1103/PhysRevA.60.3148

C. G. Townsend, N. H. Edwards, C. J. Cooper, K. P. Zetie, C. J. Foot et al., Phase-space density in the magneto-optical trap, Phase-Space Density in the Magneto-Optical Trap, p.1423, 1995.
DOI : 10.1103/PhysRevA.52.1423

D. W. Fahey, W. F. Park, and L. Schearer, High flux beam source of thermal rare-gas metastable atoms, Journal of Physics E: Scientific Instruments, vol.13, issue.4, p.381, 1980.
DOI : 10.1088/0022-3735/13/4/004

M. Kumakura and N. Morita, Generation of an intense Low-velocity Metastable-Neon Beam, Appl. Phys. B, vol.56, issue.21, 1993.

F. Moron, A. L. Hoendervanger, M. Bonneau, Q. Bouton, A. Aspect et al., An oscillator circuit to produce a radio-frequency discharge and application to metastable helium saturated absorption spectroscopy, Review of Scientific Instruments, vol.83, issue.4, p.44705, 2012.
DOI : 10.1063/1.4705999

URL : https://hal.archives-ouvertes.fr/hal-00672488

B. J. Garrison, W. H. Miller, and H. F. Schaefer, Penning and associative ionization of triplet metastable helium atoms, The Journal of Chemical Physics, vol.59, issue.6, 1973.
DOI : 10.1063/1.1680460

P. J. Tol, N. Herschbach, E. A. Hessels, W. Hogervorst, and W. Vassen, Large numbers of cold metastable helium atoms in a magneto-optical trap, Physical Review A, vol.60, issue.2, pp.761-764, 1999.
DOI : 10.1103/PhysRevA.60.R761

H. C. Mastwijk, J. W. Thomsen, P. Van-der-straten, and A. Niehaus, Optical Collisions of Cold, Metastable Helium Atoms, Physical Review Letters, vol.80, issue.25, p.55165519, 1998.
DOI : 10.1103/PhysRevLett.80.5516

M. Kumakura and N. Morita, Laser Trapping of Metastable 3He Atoms : Isotopic Difference in Cold Penning Collisions, Phys. Rev. Lett, vol.82, issue.14, p.28482851, 1999.

A. Browaeys, J. Poupard, A. Robert, S. Nowak, W. Rooijakkers et al., Two body loss rate in a magnetooptical trap of metastable He, Eur. Phys. J. D, vol.8, issue.2, p.199203, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00575995

F. P. Santos, F. Perales, J. Leonard, A. Sinatra, J. Wang et al., Penning collisions of laser-cooled metastable helium atoms, Eur. Phys. J. D, vol.14, issue.1, p.1522, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00002126

F. Pereira and D. Santos, Condensation de Bose-Einstein de l'Hélium métastable, thèse, 2002.

H. Katori and F. Shimizu, Laser-Induced Ionizing Collisions of Ultracold Krypton Gas in the 1s5 Metastable State, Phys. Rev. Lett, vol.73, issue.19, p.25552558, 1994.

K. J. Matherson, R. D. Glover, D. E. Laban, and R. T. Sang, Absolute metastable atom-atom collision cross section measurements using a magneto-optical trap, Review of Scientific Instruments, vol.78, issue.7, p.73102, 2007.
DOI : 10.1063/1.2754444

H. C. Busch, M. K. Shaffer, E. M. Ahmed, and C. I. Sukenik, magneto-optical trap, Physical Review A, vol.73, issue.2, p.23406, 2006.
DOI : 10.1103/PhysRevA.73.023406

M. Walhout, U. Sterr, C. Orzel, M. Hoogerland, and S. L. Rolston, Optical Control of Ultracold Collisions in Metastable Xenon, Physical Review Letters, vol.74, issue.4, p.506509, 1995.
DOI : 10.1103/PhysRevLett.74.506

D. Boiron, C. Triche, D. R. Meacher, P. Verkerk, and G. Grynberg, Three-dimensional cooling of cesium atoms in four-beam gray optical molasses, Physical Review A, vol.52, issue.5, p.3425, 1995.
DOI : 10.1103/PhysRevA.52.R3425

D. Boiron, A. Michaud, P. Lemonde, Y. Castin, C. Salomon et al., Laser cooling of cesium atoms in gray optical molasses down to 1.1 ??K, Physical Review A, vol.53, issue.6, p.3734, 1996.
DOI : 10.1103/PhysRevA.53.R3734

D. R. Fernandes, F. Sievers, N. Kretzschmar, S. Wu, C. Salomon et al., K atoms in three-dimensional gray optical molasses, EPL (Europhysics Letters), vol.100, issue.6, p.63001, 2012.
DOI : 10.1209/0295-5075/100/63001

URL : https://hal.archives-ouvertes.fr/hal-00738260

M. Landini, S. Roy, D. Carcagni, M. Trypogeorgos, M. Fattori et al., Sub-Doppler laser cooling of potassium atoms, Physical Review A, vol.84, issue.4, p.43432, 2011.
DOI : 10.1103/PhysRevA.84.043432

M. Weidmeuller, T. Esslinger, M. A. Ol-'shanii, A. Hemmerich, and T. W. Hansch, A Novel Scheme for Efficient Cooling below the Photon Recoil Limit, Europhysics Letters (EPL), vol.27, issue.2, pp.109-114, 1994.
DOI : 10.1209/0295-5075/27/2/006

D. V. Kosachev and Y. V. Rozhdestvenskii, Theory of sub-Doppler cooling of threelevel ? atoms in standing light waves, JETP, vol.106, pp.1588-1605, 1994.

D. V. Kosachev, Y. V. Rozhdestvenskii, and G. Nienhuis, Laser cooling of three-level atoms in two standing waves, Journal of the Optical Society of America B, vol.14, issue.3, p.535, 1997.
DOI : 10.1364/JOSAB.14.000535

G. Alzetta, A. Gozzini, L. Moi, and G. Orriols, ?????????????????????????????????? ?????????? ???????????????????? ???????????????????????????? ?????????????????? ?? ?????????????????? ???????????????? ???????????? ?? ?????????????????????????????? ?????????? ????????????, Il Nuovo Cimento B Series 11, vol.17, issue.1, pp.5-20, 1976.
DOI : 10.1007/BF02749417

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Electromagnetically induced transparency: Optics in coherent media, Reviews of Modern Physics, vol.77, issue.2, pp.633-673, 2005.
DOI : 10.1103/RevModPhys.77.633

C. D. Wallace, T. P. Dinneen, K. Y. Tan, A. Kumarakrishnan, P. L. Gould et al., Measurements of temperature and spring constant in a magneto-optical trap, Journal of the Optical Society of America B, vol.11, issue.5, p.703, 1994.
DOI : 10.1364/JOSAB.11.000703

P. Kohns, P. Buch, W. Suptitz, C. Csambal, and W. Ertmer, On-Line Measurement of Sub-Doppler Temperatures in a Rb Magneto-optical Trap-by-Trap Centre Oscillations, Europhysics Letters (EPL), vol.22, issue.7, p.517, 1993.
DOI : 10.1209/0295-5075/22/7/007

F. Y. Loo, A. Brusch, S. Sauge, M. Allegrini, E. Arimondo et al., Investigations of a two-level atom in a magneto-optical trap using magnesium, Journal of Optics B: Quantum and Semiclassical Optics, vol.6, issue.1, p.81, 2004.
DOI : 10.1088/1464-4266/6/1/013

F. Dalfovo, L. Giorgini, S. Pitaevskii, and . Stringari, Theory of Bose-Einstein condensation in trapped gases, Reviews of Modern Physics, vol.71, issue.3, pp.463-512, 1999.
DOI : 10.1103/RevModPhys.71.463

A. Robert, O. Sirjean, A. Browaeys, J. Poupard, S. Nowak et al., A Bose-Einstein Condensate of Metastable Atoms, Science, vol.292, issue.5516, p.461, 2001.
DOI : 10.1126/science.1060622

URL : https://hal.archives-ouvertes.fr/hal-00568654

F. Pereira-dos-santos, J. Leonard, J. Wang, C. J. Barrelet, F. Perales et al., Production of a bose einstein condensate of metastable helium atoms, The European Physical Journal D, vol.83, issue.1, pp.103-109, 2002.
DOI : 10.1140/epjd/e20020061

R. G. Dall and A. G. Truscott, Bose???Einstein condensation of metastable helium in a bi-planar quadrupole Ioffe configuration trap, Optics Communications, vol.270, issue.2, pp.255-261, 2007.
DOI : 10.1016/j.optcom.2006.09.031

A. S. Tychkov, T. Jeltes, J. M. Mcnamara, P. J. Tol, N. Herschbach et al., Metastable helium Bose-Einstein condensate with a large number of atoms, Physical Review A, vol.73, issue.3, p.31603, 2006.
DOI : 10.1103/PhysRevA.73.031603

M. Keller, M. Kotyrba, F. Leupold, M. Singh, M. Ebner et al., Bose-Einstein condensate of metastable helium for quantum correlation experiments, Physical Review A, vol.90, issue.6, p.63607, 2014.
DOI : 10.1103/PhysRevA.90.063607

S. , C. Doret, C. B. Connolly, W. Ketterle, and J. M. Doyle, Buffer- Gas Cooled Bose-Einstein Condensate, Phys. Rev. Lett, vol.103, p.103005, 2009.
DOI : 10.1103/physrevlett.103.103005

URL : http://nrs.harvard.edu/urn-3:HUL.InstRepos:5349607

]. Q. Bouton, R. Chang, A. L. Hoendervanger, F. Nogrette, A. Aspect et al., Fast production of Bose-Einstein condensates of metastable helium, Physical Review A, vol.91, issue.6, p.61402, 2015.
DOI : 10.1103/PhysRevA.91.061402

URL : https://hal.archives-ouvertes.fr/hal-01159883

G. Salomon, L. Fouché, S. Lepoutre, A. Aspect, and T. Bourdel, to Bose-Einstein condensation, Physical Review A, vol.90, issue.3, p.33405, 2014.
DOI : 10.1103/PhysRevA.90.033405

URL : https://hal.archives-ouvertes.fr/hal-01026128

S. J. Kuppens, K. L. Corwin, K. W. Miller, T. E. Chupp, and C. E. Wieman, Loading an optical dipole trap, Physical Review A, vol.62, issue.1, p.13406, 2000.
DOI : 10.1103/PhysRevA.62.013406

D. Jacob, . Mimoun, . De-sarlo, J. Weitz, F. Dalibard et al., Production of sodium Bose???Einstein condensates in an optical dimple trap, New Journal of Physics, vol.13, issue.6, p.65022, 2011.
DOI : 10.1088/1367-2630/13/6/065022

URL : https://hal.archives-ouvertes.fr/hal-00583436

A. Szczepkowicz, L. Krzemie, A. Wojciechowski, K. Brzozowski, M. Krüger et al., Optimal geometry for efficient loading of an optical dipole trap, Physical Review A, vol.79, issue.1, p.79, 2009.
DOI : 10.1103/PhysRevA.79.013408

Y. Lin, A. R. Perry, R. L. Compton, I. B. Spielman, and J. V. Porto, Bose-Einstein condensates in a combined magnetic and optical potential, Physical Review A, vol.79, issue.6, p.63631, 2009.
DOI : 10.1103/PhysRevA.79.063631

L. Longchambon, P. Pottie, T. Liennard, A. Perrin, V. Lorent et al., Rubidium-87 Bose-Einstein condensate in an optically plugged quadrupole trap, Phys. Rev. A, vol.85, p.13643, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00647857

D. S. Naik and C. Raman, Optically plugged quadrupole trap for Bose-Einstein condensates, Physical Review A, vol.71, issue.3, p.33617, 2005.
DOI : 10.1103/PhysRevA.71.033617

URL : http://arxiv.org/abs/cond-mat/0406341

W. Petrich, M. H. Anderson, J. R. Ensher, and E. A. Cornell, Stable, Tightly Confining Magnetic Trap for Evaporative Cooling of Neutral Atoms, Physical Review Letters, vol.74, issue.17, p.3352, 1995.
DOI : 10.1103/PhysRevLett.74.3352

D. Comparat, A. Fioretti, G. Stern, E. Dimova, B. L. Tolra et al., Optimized production of large Bose-Einstein condensates, Physical Review A, vol.73, issue.4, p.43410, 2006.
DOI : 10.1103/PhysRevA.73.043410

URL : https://hal.archives-ouvertes.fr/hal-00018383

O. J. Luiten, M. W. Reynolds, and J. T. Walraven, Kinetic theory of the evaporative cooling of a trapped gas, Physical Review A, vol.53, issue.1, p.381, 1996.
DOI : 10.1103/PhysRevA.53.381

D. M. Stamper-kurn, H. J. Miesner, A. P. Chikkatur, S. Inouye, J. Stenger et al., Reversible Formation of a Bose-Einstein Condensate, Physical Review Letters, vol.81, issue.11, p.2194, 1998.
DOI : 10.1103/PhysRevLett.81.2194

T. Weber, J. Herbig, M. Mark, H. C. Nagerl, and R. Grimm, Bose-Einstein Condensation of Cesium, Science, vol.299, issue.5604, p.232, 2003.
DOI : 10.1126/science.1079699

J. Stuhler, P. O. Schmidt, S. Hensler, J. Werner, J. Mlynek et al., Continuous loading of a magnetic trap, Physical Review A, vol.64, issue.3, p.31405, 2001.
DOI : 10.1103/PhysRevA.64.031405

E. Majorana, Atomi orientati in campo magnetico variabile, Il Nuovo Cimento, vol.73, issue.2, p.43, 1932.
DOI : 10.1007/BF02960953

D. M. Brink and C. V. Sukumar, Spin-flip transitions in a magnetic trap, Physical review A 56, p.2451, 1997.

M. S. Heo, J. Choi, and Y. Shin, Bose-Einstein condensates in an optically plugged magnetic quadrupole trap, Physical Review A, vol.83, issue.1, p.13622, 2011.
DOI : 10.1103/PhysRevA.83.013622

R. Dubessy, K. Merloti, L. Longchambon, P. Pottie, T. Liennard et al., Rubidium-87 Bose-Einstein condensate in an optically plugged quadrupole trap, Physical Review A, vol.85, issue.1, p.13643, 2012.
DOI : 10.1103/PhysRevA.85.013643

URL : https://hal.archives-ouvertes.fr/hal-00647857

A. Silva-flores, H. P. Mishra, W. Vassen, and S. Knoop, Simple method for producing Bose-Einstein condensates of metastable helium using a single beam optical dipole trap, Applied Physics B, vol.121, issue.3, 2015.

R. Dubessy, K. Merloti, L. Longchambon, P. Pottie, T. Liennard et al., Rubidium-87 Bose-Einstein condensate in an optically plugged quadrupole trap, Physical Review A, vol.85, issue.1, p.13643, 2011.
DOI : 10.1103/PhysRevA.85.013643

URL : https://hal.archives-ouvertes.fr/hal-00647857

H. F. Hess, Evaporative cooling of magnetically trapped and compressed spin-polarized hydrogen, Physical Review B, vol.34, issue.5, p.3476, 1986.
DOI : 10.1103/PhysRevB.34.3476

K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. Van-druten, D. S. Durfee et al., Bose-Einstein Condensation in a Gas of Sodium Atoms, Bose-Einstein Condensation in a Gas of Sodium Atoms, p.3969, 1995.
DOI : 10.1103/PhysRevLett.75.3969

C. C. Bradley, C. A. Sackett, J. J. Tollet, and R. G. Hulet, Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions, Physical Review Letters, vol.75, issue.9, p.1687, 1995.
DOI : 10.1103/PhysRevLett.75.1687

P. Meystre and M. Sargent, Elements of Quantum Optics, 2007.

C. E. Carroll and F. T. Hioe, Transition probabilities for the three-level Landau-Zener model, Journal of Physics A: Mathematical and General, vol.19, issue.11, pp.2061-2073, 1986.
DOI : 10.1088/0305-4470/19/11/014

F. Pereira-dos-santos, J. Lonard, J. Wang, C. J. Barrelet, F. Perales et al., Bose-Einstein Condensation of Metastable Helium, Physical Review Letters, vol.86, issue.16, p.3459, 2001.
DOI : 10.1103/PhysRevLett.86.3459

URL : https://hal.archives-ouvertes.fr/hal-00002127

G. B. Partridge, J. Jaskula, M. Bonneau, D. Boiron, and C. I. Westbrook, Bose-Einstein condensation and spin mixtures of optically trapped metastable helium, Physical Review A, vol.81, issue.5, p.53631, 2010.
DOI : 10.1103/PhysRevA.81.053631

URL : https://hal.archives-ouvertes.fr/hal-00467005

J. T. Walraven, Lectures Given at Les Houches predoc School, 2006.

W. Ketterle and N. J. Van-druten, Evaporative cooling of trapped gas, Adv. At. Mol. Opt. Phys, vol.37, 1996.

K. Huang, Accelerating evaporative cooling of atoms into Bose-Einstein condensation in optical traps, Physical Review A, vol.78, issue.1, p.11604, 1987.
DOI : 10.1103/PhysRevA.78.011604

. Yu, E. L. Kagan, G. V. Surkov, and . Shlyapnikov, Evolution of a Bose-condense as under variations of the confining potential, Phys. Rev. A, vol.54, p.3, 1996.

Y. Castin and R. Dum, Bose-Einstein Condensates in Time Dependent Traps, Physical Review Letters, vol.77, issue.27, p.27, 1996.
DOI : 10.1103/PhysRevLett.77.5315

G. V. Shlyapnikov, J. T. Walraven, U. M. Rahmanov, and M. W. Reynolds, Decay Kinetics and Bose Condensation in a Gas of Spin-Polarized Triplet Helium, Physical Review Letters, vol.73, issue.24, pp.73-3247, 1994.
DOI : 10.1103/PhysRevLett.73.3247

V. Scott, S. C. Nguyen, C. B. Doret, R. A. Connolly, W. Michniak et al., Evaporative cooling of metastable helium in the multi-partial-wave regime, Phys. Rev. A, vol.72, p.60703, 2005.

H. Brown and R. Twiss, Correlation between Photons in two Coherent Beams of Light, Nature, vol.45, issue.4497, p.27, 1956.
DOI : 10.1038/177027a0

A. Ottl, S. Ritter, S. Kohl, and T. Esslinger, Correlations and Counting Statistics of an Atom Laser, Phys. Rev. Lett, pp.95-090404, 2005.

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, Sub-poissonian loading of single atoms in a microscopic dipole trap, Nature, vol.411, issue.6841, p.1024, 2001.
DOI : 10.1038/35082512

URL : https://hal.archives-ouvertes.fr/hal-00554215

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer et al., Deterministic Delivery of a Single Atom, Science, vol.293, issue.5528, p.278, 2001.
DOI : 10.1126/science.1062725

K. Nelson, X. Li, and D. Weiss, Imaging single atoms in a three-dimensional array, Nature Physics, vol.321, issue.8, pp.556-560, 2007.
DOI : 10.1209/0295-5075/12/8/003

T. Jeltes, J. M. Mcnamara, W. Hogervorst, W. Vassen, V. Krachmalnicoff et al., Aspect and C. I. Westbrook, Comparison of the Hanbury Brown?Twiss effect for bosons and fermions, Nature, vol.455, pp.402-442, 2006.

A. Manning, R. Wu, and S. Hodgman, Third-order spatial correlations for ultracold atoms, New Journal of Physics, vol.15, issue.1, 2013.
DOI : 10.1088/1367-2630/15/1/013042

R. Bucker, A. Perrin, S. Manz, T. Betz, C. Koller et al., Single-particle-sensitive imaging of freely propagating ultracold atoms, New Journal of Physics, vol.11, issue.10, p.103039, 2009.
DOI : 10.1088/1367-2630/11/10/103039

URL : https://hal.archives-ouvertes.fr/hal-00746758

J. and L. Wiza, Microchannel plate detectors, Nuclear Instruments and Methods, p.587601, 1979.

G. W. Fraser, X-and -ray imaging using microchannel plates, Nuclear Instruments and Methods in, Physics Research, vol.221, issue.1, p.115130, 1984.

M. Barat, J. C. Brenot, J. A. Fayeton, and Y. J. Picard, Absolute detection efficiency of a microchannel plate detector for neutral atoms, Review of Scientific Instruments, vol.71, issue.5, p.20502052, 2000.
DOI : 10.1063/1.1150615

F. Gerbier, S. Trotzky, S. Folling, U. Schnorrberger, J. D. Thompson et al., Expansion of a Quantum Gas Released from an Optical Lattice, Physical Review Letters, vol.101, issue.15, p.155303, 2008.
DOI : 10.1103/PhysRevLett.101.155303

URL : https://hal.archives-ouvertes.fr/hal-00330438

V. V. Goldman, I. F. Silvera, and A. J. Leggett, Atomic hydrogen in an inhomogeneous magnetic field: Density profile and Bose-Einstein condensation, Physical Review B, vol.24, issue.5, p.2870, 1981.
DOI : 10.1103/PhysRevB.24.2870

D. A. Huse and E. Siggia, The density distribution of a weakly interacting bose gas in an external potential, Journal of Low Temperature Physics, vol.24, issue.1-2, p.137, 1982.
DOI : 10.1007/BF00655448

V. Bagnato, D. E. Pritchard, and E. D. Kleppner, Bose-Einstein condensation in an external potential, Physical Review A, vol.35, issue.10, p.4354, 1988.
DOI : 10.1103/PhysRevA.35.4354

H. Shi and W. Zheng, Energy of a trapped interacting Bose gas, Physical Review A, vol.56, issue.4, p.2984, 1997.
DOI : 10.1103/PhysRevA.56.2984

V. N. Popov, Functional integrals in quantum field theory and statistical physics, 1983.

S. Giorgini, L. P. Pitaevskii, and E. S. Stringari, Scaling and Thermodynamics of a Trapped Bose-Condensed Gas, Physical Review Letters, vol.78, issue.21, p.3987, 1997.
DOI : 10.1103/PhysRevLett.78.3987

S. Giorgini, L. P. Pitaevskii, and E. S. Stringari, Thermodynamics of a Trapped Bose-Condensed Gas, Journal of Low Temperature Physics, vol.54, issue.1-2, p.309, 1997.
DOI : 10.1007/s10909-005-0089-x

M. Holzmann and Y. Castin, Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate, The European Physical Journal D, vol.7, issue.3, p.425, 1999.
DOI : 10.1007/s100530050586

E. Toth, A. M. Rey, and P. B. Blakie, Theory of correlations between ultracold bosons released from an optical lattice, Physical Review A, vol.78, issue.1, p.13627, 2008.
DOI : 10.1103/PhysRevA.78.013627

C. E. Carrol and F. T. Hioe, Three-state systems driven by resonant optical pulses of different shapes, Journal of the Optical Society of America B, vol.5, issue.6, pp.1335-1340, 1988.
DOI : 10.1364/JOSAB.5.001335

J. R. Kuklinski, U. Gaubatz, F. T. Hioe, and K. Bergmann, Adiabatic population transfer in a three-level system driven by delayed laser pulses, Physical Review A, vol.40, issue.11, pp.6741-6744, 1989.
DOI : 10.1103/PhysRevA.40.6741

B. W. Shore, K. Bergmann, A. Kuhn, S. Schiemann, J. Oreg et al., Laser-induced population transfer in multistate systems: A comparative study, Physical Review A, vol.45, issue.7, pp.5297-5300, 1992.
DOI : 10.1103/PhysRevA.45.5297

U. Gaubatz, P. Rudecki, S. Schiemann, and K. Bergmann, Population transfer between molecular vibrational levels by stimulated Raman scattering with partially overlapping laser fields. A new concept and experimental results, The Journal of Chemical Physics, vol.92, issue.9, pp.5363-5376, 1990.
DOI : 10.1063/1.458514

K. Bergmann, H. Theuer, and B. W. Shore, Coherent population transfer among quantum states of atoms and molecules, Reviews of Modern Physics, vol.70, issue.3, pp.1003-1025, 1998.
DOI : 10.1103/RevModPhys.70.1003

A. Browaeys, Piégeage magnétique d'un gaz d'Hélium métastable : vers la condensation de Bose-Einstein, Thèse, 2000.

O. Sirjean, Collisions ionisantes : un nouveau diagnostic pour les condensats de Bose-Einstein d'Helium métastable, Thèse, 2003.

M. Schellekens, R. Hoppeler, A. Perrin, J. C. Viana-gomes, D. Boiron et al., Hanbury Brown Twiss Effect for Ultracold Quantum Gases, Science, vol.310, issue.5748, 2005.
DOI : 10.1126/science.1118024

URL : https://hal.archives-ouvertes.fr/hal-00091259

]. F. Nogrette, D. Heurteau, R. Chang, Q. Bouton, C. I. Westbrook et al., Characterization of a detector chain using a FPGA-based time-to-digital converter to reconstruct the three-dimensional coordinates of single particles at high flux, Review of Scientific Instruments, vol.86, issue.11, p.113105, 2015.
DOI : 10.1063/1.4935474

URL : https://hal.archives-ouvertes.fr/hal-01179601

H. Cayla, Détection 3D d'atomes uniques et corrélation en impulsion d'un gaz de Bose, 2015.

U. Ray and D. M. Ceperley, Revealing the condensate and noncondensate distributions in the inhomogeneous Bose-Hubbard model, Physical Review A, vol.87, issue.5, p.51603, 2013.
DOI : 10.1103/PhysRevA.87.051603

E. A. Cornell and C. E. Wieman, Nobel Lecture : Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments, Rev. Mod. Phys, vol.74, issue.3, 2002.

W. Ketterle, Nobel lecture : When atoms behave as waves : Bose-Einstein condensation and the atom laser, Rev. Mod. Phys, vol.74, issue.4, 2002.
DOI : 10.1103/revmodphys.74.1131

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.120.1600

K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. Van-druten, D. S. Durfee et al., Bose-Einstein Condensation in a Gas of Sodium Atoms, Phys. Rev. Lett, vol.75, issue.22, 1995.

C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions, Physical Review Letters, vol.75, issue.9, 1995.
DOI : 10.1103/PhysRevLett.75.1687

D. G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss et al., Bose-Einstein Condensation of Atomic Hydrogen, Physical Review Letters, vol.81, issue.18, 1998.
DOI : 10.1103/PhysRevLett.81.3811

Y. Takasu, K. Maki, K. Komori, T. Takano, K. Honda et al., Spin-Singlet Bose-Einstein Condensation of Two-Electron Atoms, Physical Review Letters, vol.91, issue.4, 2003.
DOI : 10.1103/PhysRevLett.91.040404

T. Fukuhara, S. Sugawa, and Y. Takahashi, Bose-Einstein condensation of an ytterbium isotope, Physical Review A, vol.76, issue.5, 2007.
DOI : 10.1103/PhysRevA.76.051604

A. Griesmaier, S. Jörgwerner, J. Hensler, T. Stuhler, and . Pfau, Bose-Einstein Condensation of Chromium, Physical Review Letters, vol.94, issue.16, 2005.
DOI : 10.1103/PhysRevLett.94.160401

Q. Beaufils, R. Chicireanu, T. Zanon, B. Laburthe-tolra, E. Maréchal et al., All-optical production of chromium Bose-Einstein condensates, Physical Review A, vol.77, issue.6, 2008.
DOI : 10.1103/PhysRevA.77.061601

URL : https://hal.archives-ouvertes.fr/hal-00200700

K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler et al., Bose-Einstein Condensation of Erbium, Physical Review Letters, vol.108, issue.21, p.210401, 2012.
DOI : 10.1103/PhysRevLett.108.210401

M. Lu, N. Q. Burdick, S. Ho-youn, and B. L. Lev, Strongly Dipolar Bose-Einstein Condensate of Dysprosium, Physical Review Letters, vol.107, issue.19, p.190401, 2011.
DOI : 10.1103/PhysRevLett.107.190401

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson et al., Realization of Bose-Einstein Condensates in Lower Dimensions, Physical Review Letters, vol.87, issue.13, 2001.
DOI : 10.1103/PhysRevLett.87.130402

. Ketterle, Observation of Feshbach resonances in a Bose-Einstein condensate, Nature, vol.392, 1998.

E. Gross, Structure of a quantized vortex in boson systems, Il Nuovo Cimento, vol.8, issue.3, pp.454-477, 1961.
DOI : 10.1007/BF02731494

R. Ozeri, N. Katz, J. Steinhauer, and N. Davidson, : Bulk Bogoliubov excitations in a Bose-Einstein condensate, Reviews of Modern Physics, vol.77, issue.1, p.77, 2005.
DOI : 10.1103/RevModPhys.77.187

M. Kohl, T. Stoferle, H. Moritz, C. Schori, and T. Esslinger, 1D Bose gases in an optical lattice, Applied Physics B, vol.81, issue.8, p.1009, 2004.
DOI : 10.1007/s00340-004-1662-8

K. Xu, Y. Liu, D. Miller, J. Chin, W. Setiawan et al., Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate, Physical Review Letters, vol.96, issue.18, p.180405, 2006.
DOI : 10.1103/PhysRevLett.96.180405

N. Navon, S. Piatecki, K. Gunter, B. Rem, T. C. Nguyen et al., Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas, Physical Review Letters, vol.107, issue.13, p.135301, 2011.
DOI : 10.1103/PhysRevLett.107.135301

URL : https://hal.archives-ouvertes.fr/hal-00578678

R. Combescot, F. Alzetto, and X. Leyronas, Particle distribution tail and related energy formula, Physical Review A, vol.79, issue.5, p.53640, 2009.
DOI : 10.1103/PhysRevA.79.053640

URL : http://arxiv.org/abs/0901.4303

S. Trotzky, L. Pollet, F. Gerbier, U. Schnorrberger, I. Bloch et al., Suppression of the critical temperature for superfluidity near the Mott transition, Nature Physics, vol.6, issue.12, pp.998-1004, 2010.
DOI : 10.1103/PhysRevLett.92.030405

R. J. Wild, P. Makotyn, J. M. Pino, E. A. Cornell, and D. S. Jin, Measurements of Tan???s Contact in an Atomic Bose-Einstein Condensate, Physical Review Letters, vol.108, issue.14, p.145305, 2012.
DOI : 10.1103/PhysRevLett.108.145305

A. G. Manning, R. Khakimov, R. G. Dall, and A. G. Truscott, Single-Atom Source in the Picokelvin Regime, Physical Review Letters, vol.113, issue.13, p.130403, 2014.
DOI : 10.1103/PhysRevLett.113.130403

L. Mathey, A. Vishwanath, and E. Altman, Noise correlations in low-dimensional systems of ultracold atoms, Physical Review A, vol.79, issue.1, p.13609, 2009.
DOI : 10.1103/PhysRevA.79.013609

J. S. Borbely, R. Van-rooij, S. Knoop, and W. Vassen, Magnetic-field-dependent trap loss of ultracold metastable helium, Physical Review A, vol.85, issue.2, p.22706, 2012.
DOI : 10.1103/PhysRevA.85.022706

T. D. Lee and C. N. Yang, Many-body problem in quantum mechanics and quantum statistical mechanics, Phys. Rev, vol.105, 1957.

S. Tan, Energetics of a strongly correlated Fermi gas 323, Ann. Phys, pp.2952-2971, 2008.

S. Tan, Large momentum part of a strongly correlated Fermi gas, Annals of Physics, vol.323, issue.12, pp.2971-2986, 2008.
DOI : 10.1016/j.aop.2008.03.005

S. Tan, Generalized virial theorem and pressure relation for a strongly correlated Fermi gas, Annals of Physics, vol.323, issue.12, pp.2987-2990, 2008.
DOI : 10.1016/j.aop.2008.03.003

J. T. Stewart, J. P. Gaebler, T. E. Drake, and D. S. Jin, Verification of Universal Relations in a Strongly Interacting Fermi Gas, Physical Review Letters, vol.104, issue.23, p.235301, 2010.
DOI : 10.1103/PhysRevLett.104.235301

E. Kuhnle, H. Hu, X. Liu, P. Dyke, M. Mark et al., Universal Behavior of Pair Correlations in a Strongly Interacting Fermi Gas, Correlations in a Strongly Interacting Fermi Gas, p.70402, 2010.
DOI : 10.1103/PhysRevLett.105.070402

S. Seidelin, J. V. Gomes, R. Hoppeler, O. Sirjean, D. Boiron et al., Getting the Elastic Scattering Length by Observing Inelastic Collisions in Ultracold Metastable Helium Atoms, Physical Review Letters, vol.93, issue.9, p.90409, 2004.
DOI : 10.1103/PhysRevLett.93.090409

URL : https://hal.archives-ouvertes.fr/hal-00001027

E. Braaten, D. Kang, and L. Platter, Universal relations for a strongly interacting Fermi gas near a Feshbach resonance, Physical Review A, vol.78, issue.5, p.53606, 2008.
DOI : 10.1103/PhysRevA.78.053606

E. Braaten, Universal Relations for Fermions with Large Scattering Length, BCS-BEC Crossover and the Unitary Fermi Gas (Lecture Notes in Physics), 2011.
DOI : 10.1007/978-3-642-21978-8_6

C. Luciuk, S. Trotzky, S. Smale, Z. Yu, S. Zhang et al., Evidence for universal relations describing a gas with p-wave interactions, Nature Physics, vol.78, issue.6, pp.599-605, 2016.
DOI : 10.1038/nphys3670

C. Qu, L. P. Pitaevskii, and S. Stringari, Expansion of harmonically trapped interacting particles and time dependence of the contact, Physical Review A, vol.94, issue.6, 2016.
DOI : 10.1103/PhysRevA.94.063635

Y. Yan and D. Blume, Harmonically trapped Fermi gas: Temperature dependence of the Tan contact, Physical Review A, vol.88, issue.2, p.23616, 2013.
DOI : 10.1103/PhysRevA.88.023616

A. Moreo, S. Yunoki, and E. Dagotto, Phase Separation Scenario for Manganese Oxides and Related Materials, Science, vol.283, issue.5410, p.283, 1999.
DOI : 10.1126/science.283.5410.2034

M. Uehara, S. Mori, C. H. Chen, and S. Cheong, Percolative phase separation underlies colossal, Nature, vol.399, p.560, 1999.

E. Dagotto, T. Hotta, and A. Moreo, Colossal magnetoresistant materials: the key role of phase separation, Physics Reports, vol.344, issue.1-3, 2001.
DOI : 10.1016/S0370-1573(00)00121-6

S. Nakatsuji, V. Dobrosavljevic, D. Tanaskovic, M. Minakata, H. Fukazawa et al., Mechanism of Hopping Transport in Disordered Mott Insulators, Mechanism of Hopping Transport in Disordered Mott Insulators, p.146401, 2004.
DOI : 10.1103/PhysRevLett.93.146401

J. F. Mitchell, D. N. Argyriou, A. Berger, K. E. Gray, R. Osborn et al., Spin, Charge, and Lattice States in Layered Magnetoresistive Oxides, The Journal of Physical Chemistry B, vol.105, issue.44, pp.10731-10745, 2001.
DOI : 10.1021/jp011419u

M. Vershinin, S. Misra1, S. Ono, Y. Abe, Y. Ando et al., Local Ordering in the Pseudogap State of the High-Tc Superconductor Bi2Sr2CaCu2O8+??, Science, vol.303, issue.5666, p.1995, 2004.
DOI : 10.1126/science.1093384

I. Bloch, Quantum gases in optical lattices, Physics World, vol.17, issue.4, 2004.
DOI : 10.1088/2058-7058/17/4/32

L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Ultracold Atoms in a Disordered Crystal of Light: Towards a Bose Glass, Physical Review Letters, vol.98, issue.13, p.130404, 2007.
DOI : 10.1103/PhysRevLett.98.130404

S. Ospelkaus, C. Ospelkaus, O. Wille, M. Succo, P. Ernst et al., Localization of Bosonic Atoms by Fermionic Impurities in a Three-Dimensional Optical Lattice, Physical Review Letters, vol.96, issue.18, p.180403, 2006.
DOI : 10.1103/PhysRevLett.96.180403

K. Gunter, T. Stoferle, H. Moritz, M. Kohl, and T. Esslinger, Bose-Fermi Mixtures in a Three-Dimensional Optical Lattice, Physical Review Letters, vol.96, issue.18, p.180402, 2006.
DOI : 10.1103/PhysRevLett.96.180402

S. Grishkevich, S. Sala, and A. Saenz, Theoretical description of two ultracold atoms in finite three-dimensional optical lattices using realistic interatomic interaction potentials, Physical Review A, vol.84, issue.6, p.62710, 2011.
DOI : 10.1103/PhysRevA.84.062710

J. Larson, A. Collin, and J. P. Martikainen, Multiband bosons in optical lattices, Physical Review A, vol.79, issue.3, p.79, 2009.
DOI : 10.1103/PhysRevA.79.033603

W. Zwerger, Mott??Hubbard transition of cold atoms in optical lattices, Journal of Optics B: Quantum and Semiclassical Optics, vol.5, issue.2, pp.9-16, 2003.
DOI : 10.1088/1464-4266/5/2/352

I. Bloch, W. Jean-dalibard, and . Zwerger, Many-bodu physics with ultracold gases. reviews of modern physics, p.885, 2008.
DOI : 10.1103/revmodphys.80.885

URL : http://arxiv.org/abs/0704.3011

D. Van-oosten, P. Van-der-straten, and H. T. Stoof, Quantum phases in an optical lattice, Physical Review A, vol.63, issue.5, p.53601, 2001.
DOI : 10.1103/PhysRevA.63.053601

K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA, Europhysics Letters (EPL), vol.22, issue.4, p.257, 1993.
DOI : 10.1209/0295-5075/22/4/004

S. Daniel, B. G. Rokhsar, and . Kotliar, Gutzwiller projection for bosons, Phys. Rev. B, p.44, 1991.

Y. B. Ovchinnikov, J. H. Muller, M. R. Doery, E. J. Vredenbregt, K. Helmerson et al., Diffraction of a Released Bose-Einstein Condensate by a Pulsed Standing Light Wave, Physical Review Letters, vol.83, issue.2, pp.284-287, 1999.
DOI : 10.1103/PhysRevLett.83.284

B. Gadway, D. Pertot, R. Reimann, M. G. Cohen, and D. Schneble, Analysis of Kapitza-Dirac diffraction patterns beyond the Raman-Nath regime, Optics Express, vol.17, issue.21, 2009.
DOI : 10.1364/OE.17.019173

T. Gericke, F. Gerbier, A. Widera, S. Folling, O. Mandel et al., Adiabatic loading of a Bose???Einstein condensate in a 3D optical lattice, Journal of Modern Optics, vol.54, issue.5, 2007.
DOI : 10.1103/PhysRevLett.89.250404

URL : https://hal.archives-ouvertes.fr/hal-00116297

E. Maxime-ben-dahan, J. Peik, Y. Reichel, C. Castin, and . Salomon, Bloch Oscillations of Atoms in an Optical Potential, Phys. Rev. Lett, vol.76, p.24, 1996.

S. R. Clark and D. Jaksch, Dynamics of the superfluid to Mott-insulator transition in one dimension, Physical Review A, vol.70, issue.4, p.43612, 2004.
DOI : 10.1103/PhysRevA.70.043612

M. Greiner, Ultracold quantum gases in three-dimensional optical lattice potentials, 2003.

U. Ray and D. M. Ceperley, Revealing the condensate and noncondensate distributions in the inhomogeneous Bose-Hubbard model, Physical Review A, vol.87, issue.5, p.51603, 2013.
DOI : 10.1103/PhysRevA.87.051603

Q. Zhou, Y. Kato, N. Kawashima, and N. Trivedi, Direct Mapping of the Finite Temperature Phase Diagram of Strongly Correlated Quantum Models, Physical Review Letters, vol.103, issue.8, p.85701, 2009.
DOI : 10.1103/PhysRevLett.103.085701

L. Pollet, N. V. Prokof-'ev, and B. V. Svistunov, Criticality in Trapped Atomic Systems, Criticality in Trapped Atomic Systems, p.245705, 2010.
DOI : 10.1103/PhysRevLett.104.245705

W. Xu and M. Rigol, Universal scaling of density and momentum distributions in Lieb-Liniger gases, Physical Review A, vol.92, issue.6, p.63623, 2015.
DOI : 10.1103/PhysRevA.92.063623

E. H. Lieb and W. Liniger, Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State, Physical Review, vol.130, issue.4, p.1605, 1963.
DOI : 10.1103/PhysRev.130.1605