H. Brown, R. Twiss, and R. Q. , Correlation between Photons in two Coherent Beams of Light, Nature, vol.45, issue.4497, pp.27-29, 1956.
DOI : 10.1038/177027a0

M. Yasuda and F. Shimizu, Observation of Two-Atom Correlation of an Ultracold Neon Atomic Beam, Physical Review Letters, vol.77, issue.15, pp.3090-3093, 1996.
DOI : 10.1103/PhysRevLett.77.3090

M. Schellekens, Hanbury Brown Twiss Effect for Ultracold Quantum Gases, Science, vol.310, issue.5748, pp.648-651, 2005.
DOI : 10.1126/science.1118024
URL : https://hal.archives-ouvertes.fr/hal-00091259

O. ¨-ttl, A. Ritter, S. Köhl, M. Esslinger, and T. , Correlations and counting statistics on an atom laser, Phys. Rev. Lett, vol.95, p.90404, 2005.

S. Fölling, Spatial quantum noise interferometry in expanding ultracold atom clouds, Nature, vol.22, issue.7032, pp.481-484, 2005.
DOI : 10.1103/PhysRevA.59.4595

I. B. Spielman, W. D. Phillips, and J. Porto, The Mott insulator transition in two dimensions, p.606216, 2006.

M. Greiner, C. A. Regal, J. T. Stewart, and D. S. Jin, Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise, Physical Review Letters, vol.94, issue.11, p.110401, 2005.
DOI : 10.1103/PhysRevLett.94.110401

E. Altman, E. Demler, and M. D. Lukin, Probing many-body states of ultracold atoms via noise correlations, Physical Review A, vol.70, issue.1, p.13603, 2004.
DOI : 10.1103/PhysRevA.70.013603

J. Grondalski, P. M. Alsing, and I. H. Deutsch, Spatial correlation diagnostics for atoms in optical lattices, Optics Express, vol.5, issue.11, pp.249-261, 1999.
DOI : 10.1364/OE.5.000249

D. Hellweg, Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates, Physical Review Letters, vol.91, issue.1, p.10406, 2003.
DOI : 10.1103/PhysRevLett.91.010406

J. Estève, Observations of Density Fluctuations in an Elongated Bose Gas: Ideal Gas and Quasicondensate Regimes, Physical Review Letters, vol.96, issue.13, p.130403, 2006.
DOI : 10.1103/PhysRevLett.96.130403

R. Loudon, The Quantum Theory of Light, 2000.

U. Fano, Quantum Theory of Interference Effects in the Mixing of Light from Phase-Independent Sources, American Journal of Physics, vol.29, issue.8, pp.539-545, 1961.
DOI : 10.1119/1.1937827

H. Brown, R. Twiss, and R. Q. , A Test of a New Type of Stellar Interferometer on Sirius, Nature, vol.170, issue.4541, pp.1046-1048, 1956.
DOI : 10.1038/1781046a0

G. Baym, The physics of Hanbury Brown-Twiss intensity interferometry: From stars to nuclear collisions, Acta Phys. Pol. B, vol.29, pp.1839-1884, 1998.

D. H. Boal, C. Gelbke, and B. K. Jennings, Intensity interferometry in subatomic physics, Reviews of Modern Physics, vol.62, issue.3, pp.553-602, 1990.
DOI : 10.1103/RevModPhys.62.553

V. Gomes and J. , Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms, Physical Review A, vol.74, issue.5, p.53607, 2006.
DOI : 10.1103/PhysRevA.74.053607
URL : https://hal.archives-ouvertes.fr/hal-00080649

H. J. Kimble, M. Dagenais, and L. Mandel, Photon Antibunching in Resonance Fluorescence, Physical Review Letters, vol.39, issue.11, pp.691-695, 1978.
DOI : 10.1103/PhysRevLett.39.691

M. Henny, The Fermionic Hanbury Brown and Twiss Experiment, Science, vol.284, issue.5412, pp.296-298, 1999.
DOI : 10.1126/science.284.5412.296

W. D. Oliver, J. Kim, R. C. Liu, and Y. Yamamoto, Hanbury Brown and Twiss-Type Experiment with Electrons, Science, vol.284, issue.5412, pp.299-301, 1999.
DOI : 10.1126/science.284.5412.299

H. Kiesel, A. Renz, and F. Hasselbach, Observation of Hanbury Brown???Twiss anticorrelations for free electrons, Nature, vol.97, issue.6896, pp.392-394, 2002.
DOI : 10.1016/0375-9601(86)90502-5

M. Iannuzzi, A. Orecchini, F. Sacchetti, P. Facchi, and S. Pascazio, Direct Experimental Evidence of Free-Fermion Antibunching, Physical Review Letters, vol.96, issue.8, p.80402, 2006.
DOI : 10.1103/PhysRevLett.96.080402

T. Rom, Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice, Nature, vol.73, issue.7120, pp.733-736, 2006.
DOI : 10.1038/nature05319

O. Jagutzki, A broad-application microchannel-plate detector system for advanced particle or photon detection tasks: large area imaging, precise multi-hit timing information and high detection rate, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.477, issue.1-3, pp.244-249, 2002.
DOI : 10.1016/S0168-9002(01)01839-3

H. Pu and P. Meystre, Creating Macroscopic Atomic Einstein-Podolsky-Rosen States from Bose-Einstein Condensates, Physical Review Letters, vol.85, issue.19, p.3987, 2000.
DOI : 10.1103/PhysRevLett.85.3987

L. Duan, A. Sørensen, J. I. Cirac, and P. Zoller, Squeezing and Entanglement of Atomic Beams, Physical Review Letters, vol.85, issue.19, p.3991, 2000.
DOI : 10.1103/PhysRevLett.85.3991

K. V. Kheruntsyan, M. K. Olsen, and P. D. Drummond, Einstein-Podolsky-Rosen Correlations via Dissociation of a Molecular Bose-Einstein Condensate, Physical Review Letters, vol.95, issue.15, p.150405, 2005.
DOI : 10.1103/PhysRevLett.95.150405

T. Opatrnyándopatrnyánd and G. Kurizki, Matter-Wave Entanglement and Teleportation by Molecular Dissociation and Collisions, Physical Review Letters, vol.86, issue.14, p.3180, 2001.
DOI : 10.1103/PhysRevLett.86.3180

C. M. Savage, P. E. Schwenn, and K. V. Kheruntsyan, First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space, Physical Review A, vol.74, issue.3, p.33620, 2006.
DOI : 10.1103/PhysRevA.74.033620

Y. B. Band, M. Trippenbach, J. P. Burke, and P. S. Julienne, Elastic Scattering Loss of Atoms from Colliding Bose-Einstein Condensate Wave Packets, Physical Review Letters, vol.84, issue.24, p.5462, 2000.
DOI : 10.1103/PhysRevLett.84.5462

P. Naidon and F. Masnou-seeuws, Pair dynamics in the formation of molecules in a Bose-Einstein condensate, Physical Review A, vol.68, issue.3, p.33612, 2003.
DOI : 10.1103/PhysRevA.68.033612

P. Zin´, J. Zin´, M. Chweden´czukchweden´czuk, and . Trippenbach, Elastic scattering losses from colliding Bose-Einstein condensates, Physical Review A, vol.73, issue.3, p.33602, 2006.
DOI : 10.1103/PhysRevA.73.033602

A. A. Norrie, R. J. Ballagh, and C. W. Gardiner, Quantum turbulence and correlations in Bose-Einstein condensate collisions, Physical Review A, vol.73, issue.4, p.43617, 2006.
DOI : 10.1103/PhysRevA.73.043617

P. Deuar and P. D. Drummond, Correlations in a BEC Collision: First-Principles Quantum Dynamics with 150???000 Atoms, Physical Review Letters, vol.98, issue.12, p.120402, 2007.
DOI : 10.1103/PhysRevLett.98.120402

A. Heidmann, Observation of Quantum Noise Reduction on Twin Laser Beams, Physical Review Letters, vol.59, issue.22, p.2555, 1987.
DOI : 10.1103/PhysRevLett.59.2555

Z. Y. Ou and L. Mandel, Violation of Bell's Inequality and Classical Probability in a Two-Photon Correlation Experiment, Physical Review Letters, vol.61, issue.1, p.50, 1988.
DOI : 10.1103/PhysRevLett.61.50

Y. H. Shih and C. O. Alley, New Type of Einstein-Podolsky-Rosen-Bohm Experiment Using Pairs of Light Quanta Produced by Optical Parametric Down Conversion, Physical Review Letters, vol.61, issue.26, p.2921, 1988.
DOI : 10.1103/PhysRevLett.61.2921

M. A. Horne, A. Shimony, and A. Zeilinger, Two-particle interferometry, Physical Review Letters, vol.62, issue.19, pp.2209-2495, 1989.
DOI : 10.1103/PhysRevLett.62.2209

J. M. Vogels, K. Xu, and W. Ketterle, Generation of Macroscopic Pair-Correlated Atomic Beams by Four-Wave Mixing in Bose-Einstein Condensates, Physical Review Letters, vol.89, issue.2, p.20401, 2002.
DOI : 10.1103/PhysRevLett.89.020401

J. M. Vogels, J. K. Chin, and W. Ketterle, Coherent Collisions between Bose-Einstein Condensates, Physical Review Letters, vol.90, issue.3, p.30403, 2003.
DOI : 10.1103/PhysRevLett.90.030403
URL : http://arxiv.org/abs/cond-mat/0209067

N. Gemelke, Parametric Amplification of Matter Waves in Periodically Translated Optical Lattices, Physical Review Letters, vol.95, issue.17, p.170404, 2005.
DOI : 10.1103/PhysRevLett.95.170404

G. K. Campbell, Parametric Amplification of Scattered Atom Pairs, Physical Review Letters, vol.96, issue.2, p.20406, 2006.
DOI : 10.1103/PhysRevLett.96.020406

A. P. Chikkatur, Suppression and Enhancement of Impurity Scattering in a Bose-Einstein Condensate, Physical Review Letters, vol.85, issue.3, p.483, 2000.
DOI : 10.1103/PhysRevLett.85.483

K. Gibble, S. Chang, and R. Legere, -Wave Atomic Collisions, Physical Review Letters, vol.75, issue.14, p.2666, 1995.
DOI : 10.1103/PhysRevLett.75.2666

N. Katz, E. Rowen, R. Ozeri, and N. Davidson, Collisional Decay of a Strongly Driven Bose-Einstein Condensate, Physical Review Letters, vol.95, issue.22, p.220403, 2005.
DOI : 10.1103/PhysRevLett.95.220403

N. R. Thomas, N. Kjaergaard, P. S. Julienne, and A. C. Wilson, Partial-Wave Interference in Quantum Scattering of Identical Bosonic Atoms, Physical Review Letters, vol.93, issue.17, p.173201, 2004.
DOI : 10.1103/PhysRevLett.93.173201

C. K. Hong, Z. Y. Ou, and L. Mandel, Measurement of subpicosecond time intervals between two photons by interference, Physical Review Letters, vol.59, issue.18, p.2044, 1987.
DOI : 10.1103/PhysRevLett.59.2044

E. See and . No, E-PRLTAO-99-043742 for the experimental details for interested readers. For more information on EPAPS, see http

P. J. Leo, V. Venturi, I. B. Whittingham, and J. F. Babb, Ultracold collisions of metastable helium atoms, Physical Review A, vol.64, issue.4, p.42710, 2001.
DOI : 10.1103/PhysRevA.64.042710

D. Hellweg, L. Cacciapuoti, M. Kottke, T. Schulte, K. Sengstock et al., Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates, Physical Review Letters, vol.91, issue.1, p.10406, 2003.
DOI : 10.1103/PhysRevLett.91.010406

J. Esteve, J. B. Trebbia, T. Schumm, A. Aspect, C. Westbrook et al., Observations of Density Fluctuations in an Elongated Bose Gas: Ideal Gas and Quasicondensate Regimes, Physical Review Letters, vol.96, issue.13, p.130403, 2006.
DOI : 10.1103/PhysRevLett.96.130403
URL : https://hal.archives-ouvertes.fr/hal-00011123

T. Rom, T. Best, D. Van-oosten, U. Schneider, S. Fölling et al., Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice, Nature, vol.73, issue.7120, p.733, 2006.
DOI : 10.1038/nature05319

A. Öttl, S. Ritter, M. Köhl, and T. Esslinger, Correlations and Counting Statistics of an Atom Laser, Physical Review Letters, vol.95, issue.9, p.90404, 2005.
DOI : 10.1103/PhysRevLett.95.090404

S. Ritter, A. Öttl, T. Donner, T. Bourdel, M. Köhl et al., Observing the Formation of Long-Range Order during Bose-Einstein Condensation, Physical Review Letters, vol.98, issue.9, p.90402, 2007.
DOI : 10.1103/PhysRevLett.98.090402

M. Schellekens, R. Hoppeler, A. Perrin, V. Gomes, J. Boiron et al., Hanbury Brown Twiss Effect for Ultracold Quantum Gases, Science, vol.310, issue.5748, p.648, 2005.
DOI : 10.1126/science.1118024
URL : https://hal.archives-ouvertes.fr/hal-00091259

M. Yasuda and F. Shimizu, Observation of Two-Atom Correlation of an Ultracold Neon Atomic Beam, Physical Review Letters, vol.77, issue.15, p.3090, 1996.
DOI : 10.1103/PhysRevLett.77.3090

S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gerike et al., Spatial quantum noise interferometry in expanding ultracold atom clouds, Nature, vol.22, issue.7032, p.481, 2005.
DOI : 10.1103/PhysRevA.59.4595

M. Greiner, C. A. Regal, J. Stewart, and D. Jin, Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise, Physical Review Letters, vol.94, issue.11, p.110401, 2005.
DOI : 10.1103/PhysRevLett.94.110401

A. A. Norrie, R. J. Ballagh, and C. Gardiner, Quantum Turbulence in Condensate Collisions: An Application of the Classical Field Method, Physical Review Letters, vol.94, issue.4, p.40401, 2005.
DOI : 10.1103/PhysRevLett.94.040401

A. A. Norrie, R. J. Ballagh, and C. Gardiner, Quantum turbulence and correlations in Bose-Einstein condensate collisions, Physical Review A, vol.73, issue.4, p.43617, 2006.
DOI : 10.1103/PhysRevA.73.043617

C. M. Savage, P. E. Schwenn, and K. Kheruntsyan, First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space, Physical Review A, vol.74, issue.3, p.33620, 2006.
DOI : 10.1103/PhysRevA.74.033620

P. Deuar and P. Drummond, Correlations in a BEC Collision: First-Principles Quantum Dynamics with 150???000 Atoms, Physical Review Letters, vol.98, issue.12, p.120402, 2007.
DOI : 10.1103/PhysRevLett.98.120402

P. D. Drummond and C. Gardiner, Generalised P-representations in quantum optics, Journal of Physics A: Mathematical and General, vol.13, issue.7, p.2353, 1980.
DOI : 10.1088/0305-4470/13/7/018

M. J. Steel, M. K. Olsen, L. I. Plimak, P. D. Drummond, S. M. Tan et al., Dynamical quantum noise in trapped Bose-Einstein condensates, Physical Review A, vol.58, issue.6, p.4824, 1998.
DOI : 10.1103/PhysRevA.58.4824

P. Deuar and P. Drummond, First-principles quantum dynamics in interacting Bose gases: I. The positive P representation, Journal of Physics A: Mathematical and General, vol.39, issue.5, p.1163, 2006.
DOI : 10.1088/0305-4470/39/5/010

P. Zi´nzi´n, J. Chwede´nczukchwede´nczuk, and M. Trippenbach, Elastic scattering losses from colliding Bose-Einstein condensates, Physical Review A, vol.73, issue.3, p.33602, 2006.
DOI : 10.1103/PhysRevA.73.033602

S. A. Morgan, M. Rusch, D. Hutchinson, and K. Burnett, Quantitative Test of Thermal Field Theory for Bose-Einstein Condensates, Physical Review Letters, vol.91, issue.25, p.250403, 2003.
DOI : 10.1103/PhysRevLett.91.250403

V. A. Yurovsky, Quantum effects on dynamics of instabilities in Bose-Einstein condensates, Physical Review A, vol.65, issue.3, p.33605, 2002.
DOI : 10.1103/PhysRevA.65.033605

A. Sinatra, C. Lobo, and I. Castin, The truncated Wigner method for Bose-condensed gases: limits of validity and applications, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.35, issue.17, p.3599, 2002.
DOI : 10.1088/0953-4075/35/17/301

K. Molmer, A. Perrin, V. Krachmalnicoff, V. Leung, D. Boiron et al., Hanbury Brown and Twiss correlations in atoms scattered from colliding condensates, Physical Review A, vol.77, issue.3, p.33601, 2008.
DOI : 10.1103/PhysRevA.77.033601
URL : https://hal.archives-ouvertes.fr/hal-00178789

R. Bach, M. Trippenbach, R. Rza?¸zewski, and K. , Spontaneous emission of atoms via collisions of Bose-Einstein condensates, Physical Review A, vol.65, issue.6, p.63605, 2002.
DOI : 10.1103/PhysRevA.65.063605

K. V. Kheruntsyan and P. Drummond, Quantum correlated twin atomic beams via photodissociation of a molecular Bose-Einstein condensate, Physical Review A, vol.66, issue.3, p.31602, 2002.
DOI : 10.1103/PhysRevA.66.031602

M. J. Davis, S. J. Thwaite, M. Olsen, and K. Kheruntsyan, Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates, Physical Review A, vol.77, issue.2, p.23617, 2008.
DOI : 10.1103/PhysRevA.77.023617

S. Moal, M. Portier, J. Kim, J. Dugué, U. D. Rapol et al., Accurate Determination of the Scattering Length of Metastable Helium Atoms Using Dark Resonances between Atoms and Exotic Molecules, Physical Review Letters, vol.96, issue.2, p.23203, 2006.
DOI : 10.1103/PhysRevLett.96.023203
URL : https://hal.archives-ouvertes.fr/hal-00013858

C. Savage and K. Kheruntsyan, Spatial Pair Correlations of Atoms in Molecular Dissociation, Physical Review Letters, vol.99, issue.22, p.220404, 2007.
DOI : 10.1103/PhysRevLett.99.220404

X. Zou, L. Wang, and L. Mandel, Violation of classical probability in parametric down-conversion, Optics Communications, vol.84, issue.5-6, p.351, 1991.
DOI : 10.1016/0030-4018(91)90101-I

A. Vardi and M. Moore, Directional ???Superradiant??? Collisions: Bosonic Amplification of Atom Pairs Emitted from an Elongated Bose-Einstein Condensate, Physical Review Letters, vol.89, issue.9, p.90403, 2002.
DOI : 10.1103/PhysRevLett.89.090403

S. Inouye, A. Chikkatur, D. M. Stamper-kurn, J. Stenger, D. Pritchard et al., Superradiant Rayleigh Scattering from a Bose-Einstein Condensate, Science, vol.285, issue.5427, p.571, 1999.
DOI : 10.1126/science.285.5427.571

M. Gross and S. Haroche, Superradiance: An essay on the theory of collective spontaneous emission, Physics Reports, vol.93, issue.5, p.301, 1982.
DOI : 10.1016/0370-1573(82)90102-8

C. Y. Wong and W. Zhang, Chaoticity parameter ?? in Hanbury-Brown???Twiss interferometry, Physical Review C, vol.76, issue.3, p.34905, 2007.
DOI : 10.1103/PhysRevC.76.034905

G. R. Collecut and P. Drummond, xmds: eXtensible multi-dimensional simulator, Computer Physics Communications, vol.142, issue.1-3, p.219, 2001.
DOI : 10.1016/S0010-4655(01)00309-5

Y. Castin and R. Dum, Bose-Einstein Condensates in Time Dependent Traps, Physical Review Letters, vol.77, issue.27, p.5315, 1996.
DOI : 10.1103/PhysRevLett.77.5315

M. Trippenbach, . A. Private-communication-]-a, E. Michelson, and . Morley, On the relative motion of the earth and the luminiferous ether, American Journal of Science, vol.34, issue.1, p.333, 1887.

A. Einstein, ¨ Uber die Entwicklung unserer AnschauungenüberAnschauungen¨Anschauungenüber das Wesen und die Konstitution der Strahlung (The development of our views on the composition and essence of radiation, Phys. Z, vol.10, p.817, 1909.

M. Born and E. Wolf, Principles of Optics, 2005.
DOI : 10.1017/CBO9781139644181

M. Planck, The genesis and present state of development of the quantum theory. Nobel lecture, 1918.

M. Fox, Quantum Optics. An introduction (Oxford Master Series in Physics, 2006.

R. H. Brown and R. Q. Twiss, Correlation between Photons in two Coherent Beams of Light, Nature, vol.45, issue.4497, pp.177-204, 1956.
DOI : 10.1038/177027a0

E. M. Purcell, The Question of Correlation between Photons in Coherent Light Rays, Nature, vol.99, issue.4548, p.1449, 1956.
DOI : 10.1038/1781449a0

R. J. Glauber, The Quantum Theory of Optical Coherence, Physical Review, vol.130, issue.6, p.2529, 1963.
DOI : 10.1103/PhysRev.130.2529

R. J. Glauber, Nobel Lecture: One hundred years of light quanta, Reviews of Modern Physics, vol.78, issue.4, p.1267, 2006.
DOI : 10.1103/RevModPhys.78.1267

H. J. Kimble, M. Dagenais, and L. Mandel, Photon Antibunching in Resonance Fluorescence, Physical Review Letters, vol.39, issue.11, p.691, 1977.
DOI : 10.1103/PhysRevLett.39.691

A. Einstein, B. Podolsky, and N. Rosen, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?, Physical Review, vol.47, issue.10, p.777, 1935.
DOI : 10.1103/PhysRev.47.777

E. Schrödinger, Discussion of Probability Relations between Separated Systems, Proc. Camb, pp.555-215, 1935.
DOI : 10.1017/S0305004100013554

N. Bohr, Can Quantum-Mechanical Description of Physical Reality be Considered Complete?, Phys. Rev, vol.48, p.696, 1935.
DOI : 10.1016/S1876-0503(08)70375-X

J. S. Bell, On the Einstein???Podolsky???Rosen paradox, Phys, vol.1, p.195, 1964.
DOI : 10.1017/CBO9780511815676.004

D. F. Walls, G. J. Milburn, and S. Chu, Nobel lecture: The manipulation of neutral particles, Quantum Optics Rev. Mod. Phys, vol.70, p.685, 1998.

C. N. Cohen-tannoudji, Nobel Lecture: Manipulating atoms with photons, Reviews of Modern Physics, vol.70, issue.3, p.707, 1998.
DOI : 10.1103/RevModPhys.70.707

W. D. Phillips, Nobel Lecture: Laser cooling and trapping of neutral atoms, Reviews of Modern Physics, vol.70, issue.3, p.721, 1998.
DOI : 10.1103/RevModPhys.70.721

R. Blatt and D. Wineland, Entangled states of trapped atomic ions, Nature, vol.88, issue.7198, pp.453-1008, 2008.
DOI : 10.1038/nature07125

J. I. Cirac and P. Zoller, Quantum Computations with Cold Trapped Ions, Physical Review Letters, vol.74, issue.20, p.4091, 1995.
DOI : 10.1103/PhysRevLett.74.4091

C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, Demonstration of a Fundamental Quantum Logic Gate, Physical Review Letters, vol.75, issue.25, p.4714, 1995.
DOI : 10.1103/PhysRevLett.75.4714

H. Häffner, C. Roos, and B. R. , Quantum computing with trapped ions, Physics Reports, vol.469, issue.4, p.155, 2008.
DOI : 10.1016/j.physrep.2008.09.003

M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Observation of Bose-Einstein condensation in a dilute atomic vapor, Science, pp.269-198, 1995.

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, Physical Review Letters, vol.75, issue.22, p.3969, 1995.
DOI : 10.1103/PhysRevLett.75.3969

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, p.1687, 1995.
DOI : 10.1103/PhysRevLett.75.1687

M. R. Andrews, C. G. Townsend, H. Miesner, D. S. Durfee, D. M. Kurn et al., Observation of Interference Between Two Bose Condensates, Science, vol.275, issue.5300, pp.275-637, 1997.
DOI : 10.1126/science.275.5300.637

M. Köhl, T. W. Hänsch, and T. Esslinger, Measuring the Temporal Coherence of an Atom Laser Beam, Physical Review Letters, vol.87, issue.16, pp.160404-582, 1997.
DOI : 10.1103/PhysRevLett.87.160404

M. Kozuma, L. Deng, E. W. Hagley, J. Wen, R. Lutwak et al., Coherent Splitting of Bose-Einstein Condensed Atoms with Optically Induced Bragg Diffraction, Physical Review Letters, vol.82, issue.5, p.871, 1999.
DOI : 10.1103/PhysRevLett.82.871

A. D. Cronin, J. Schmiedmayer, and D. Pritchard, Atom interferometers, 2009.

B. Demarco and D. S. 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

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

A. G. Truscott, K. E. Strecker, W. I. Mcalexander, G. B. Partridge, and R. G. Hulet, Observation of Fermi Pressure in a Gas of Trapped Atoms, Science, vol.291, issue.5513, p.2570, 2001.
DOI : 10.1126/science.1059318

L. Deng, E. W. Hagley, J. Wen, M. Trippenbach, Y. Band et al., Four-wave mixing with matter waves, Nature, pp.398-218, 1999.

A. Perrin, H. Chang, V. Krachmalnicoff, M. Schellekens, D. Boiron et al., Observation of Atom Pairs in Spontaneous Four-Wave Mixing of Two Colliding Bose-Einstein Condensates, Physical Review Letters, vol.99, issue.15, p.150405, 2007.
DOI : 10.1103/PhysRevLett.99.150405
URL : https://hal.archives-ouvertes.fr/hal-00142991

A. Robert, O. Sirjean, A. Browaeys, J. Poupard, S. Nowak et al., A Bose-Einstein Condensate of Metastable Atoms, Science, vol.292, issue.5516, pp.292-461, 2001.
DOI : 10.1126/science.1060622
URL : https://hal.archives-ouvertes.fr/hal-00568654

M. Schellekens, R. Hoppeler, A. Perrin, J. V. Gomes, D. Boiron et al., Hanbury Brown Twiss Effect for Ultracold Quantum Gases, Science, vol.310, issue.5748, pp.310-648, 2005.
DOI : 10.1126/science.1118024
URL : https://hal.archives-ouvertes.fr/hal-00091259

J. M. Mcnamara, T. Jeltes, A. S. Tychkov, W. Hogervorst, and W. Vassen, Degenerate Bose-Fermi Mixture of Metastable Atoms, Physical Review Letters, vol.97, issue.8, pp.97-080404, 2006.
DOI : 10.1103/PhysRevLett.97.080404

T. Jeltes, J. M. Mcnamara, W. Hogervorst, W. Vassen, V. Krachmalnicoff et al., Comparison of the Hanbury Brown???Twiss effect for bosons and fermions, Nature, vol.73, issue.7126, pp.445-402, 2007.
DOI : 10.1038/nature05513
URL : https://hal.archives-ouvertes.fr/hal-00119748

D. C. Burnham and D. L. Weinberg, Observation of Simultaneity in Parametric Production of Optical Photon Pairs, Physical Review Letters, vol.25, issue.2, p.84, 1970.
DOI : 10.1103/PhysRevLett.25.84

M. Schellekens, L'effet Hanbury Brown et Twiss pour les atoms froids, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00168946

J. V. Gomes, Thermométrie et propriétés de cohérence d'un gaz quantique ultrafroid d'hélium métastable, 2007.

R. H. Brown and R. Q. Twiss, LXXIV. A new type of interferometer for use in radio astronomy, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.3, issue.366, p.663, 1954.
DOI : 10.1002/andp.19153532104

G. Baym, The physics of Hanbury Brown Twiss intensity interferometry: from stars to nuclear collisions, Acta Physica Polonica B, vol.29, p.1839, 1998.

R. H. Brown, The Intensity Iterferometer, 1974.

W. D. Oliver, J. Kim, R. C. Liu, and Y. Yamamoto, Hanbury Brown and Twiss-Type Experiment with Electrons, Science, vol.284, issue.5412, p.299, 1999.
DOI : 10.1126/science.284.5412.299

M. Henny, S. Oberholzer, C. Strunk, T. Heinzel, K. Ensslin et al., The Fermionic Hanbury Brown and Twiss Experiment, Science, vol.284, issue.5412, pp.284-296, 1999.
DOI : 10.1126/science.284.5412.296

H. Kiesel, A. Renz, and F. Hasselbach, Observation of Hanbury Brown???Twiss anticorrelations for free electrons, Nature, vol.97, issue.6896, pp.418-392, 2002.
DOI : 10.1016/0375-9601(86)90502-5

M. Iannuzzi, A. Orecchini, F. Sacchetti, P. Facchi, S. Pascazio55-]-t et al., Direct experimental evidence of free-fermion antibunching " . Physical Review Letters Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice, Nature, vol.96, pp.80402-444, 2006.

M. Büttiker, Bunches of photons?antibunches of electrons, Science, vol.284, p.275, 1999.

S. Oberholzer, M. Henny, C. Strunk, C. Schönenberger, T. Heinzel et al., The Hanbury Brown and Twiss experiment with fermions, Physica E: Low-dimensional Systems and Nanostructures, p.314, 2000.
DOI : 10.1016/S1386-9477(99)00162-9

J. C. Spence, Spaced-out electrons, Nature, pp.418-377, 2002.
DOI : 10.1038/418377a

S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke et al., Spatial quantum noise interferometry in expanding ultracold atom clouds, Nature, pp.434-481, 2005.

E. Altman, E. Demler, and M. D. Lukin, Probing many-body states of ultracold atoms via noise correlations, Physical Review A, vol.70, issue.1, p.13603, 2004.
DOI : 10.1103/PhysRevA.70.013603

J. V. Gomes, A. Perrin, M. Schellekens, D. Boiron, C. I. Westbrook et al., Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms, Physical Review A, vol.74, issue.5, pp.74-053607, 2006.
DOI : 10.1103/PhysRevA.74.053607
URL : https://hal.archives-ouvertes.fr/hal-00080649

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, pp.73-031603, 2006.
DOI : 10.1103/PhysRevA.73.031603

P. J. Tol, N. Herschbach, E. A. Hessels, W. Hogervorst, and W. Vassen, Large numbers of cold metastable helium atoms in a magnetooptical trap, Phys. Rev. A, pp.60-761, 1999.

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

O. Sirjean, S. Seidelin, J. V. Gomes, D. Boiron, C. I. Westbrook et al., Ionization Rates in a Bose-Einstein Condensate of Metastable Helium, Physical Review Letters, vol.89, issue.22, p.220406, 2002.
DOI : 10.1103/PhysRevLett.89.220406
URL : https://hal.archives-ouvertes.fr/hal-00118659

C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Production of Two Overlapping Bose-Einstein Condensates by Sympathetic Cooling, Physical Review Letters, vol.78, issue.4, p.586, 1997.
DOI : 10.1103/PhysRevLett.78.586

M. Przybytek and B. Jeziorski, Bounds for the scattering length of spin-polarized helium from high-accuracy electronic structure calculations, The Journal of Chemical Physics, vol.123, issue.13, p.134315, 2005.
DOI : 10.1063/1.2042453

P. O. Fedichev, M. W. Reynolds, and G. V. Shlyapnikov, Level, Physical Review Letters, vol.77, issue.14, p.2921, 1996.
DOI : 10.1103/PhysRevLett.77.2921

V. Krachmalnicoff, Spettroscopia di precisione dell' 3 He: verso una determinazione della struttura iperfine e dello shift isotopico, 2005.

T. Jeltes, Quantum Statistical effects in ultracold gases of metastable helium, 2008.

N. Vansteenkiste, C. Gerz, R. Kaiser, L. Hollberg, C. Salomon et al., A frequency-stabilized LNA laser at 1.083µm: application to the manipulation of 4 he atoms, J. Phys. II, vol.1, p.1407, 1991.
URL : https://hal.archives-ouvertes.fr/jpa-00247600

W. Rooijakkers, W. Hogervorst, and W. Vassen, An intense collimated beam of metastable helium atoms by two-dimensional laser cooling, Optics Communications, vol.123, issue.1-3, p.321, 1996.
DOI : 10.1016/0030-4018(95)00546-3

A. S. Tychkov, Bose-Einstein condensation of metastable helium atoms, 2008.

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

R. Stas, Trapping fermionic and bosonic helium atoms, 2005.

T. Bergeman, G. Erez, and H. J. Metcalf, Magnetostatic trapping fields for neutral atoms, Physical Review A, vol.35, issue.4, pp.35-1535, 1987.
DOI : 10.1103/PhysRevA.35.1535

S. Seidelin, Collisions dans un gaz d'hélium métastable au voisinage de la dégénérescence quantique, 2004.

P. O. Schmidt, S. Hensler, J. Werner, T. Binhammer, A. Görlitz et al., Doppler cooling of an optically dense cloud of magnetically trapped atoms, Journal of the Optical Society of America B, vol.20, issue.5, p.960, 2003.
DOI : 10.1364/JOSAB.20.000960

W. Ketterle, D. S. Durfee, D. M. Stamper-kurn, S. Seidelin, J. V. Gomes et al., Making, probing and understanding bose-einstein condensates Bose-Einstein condensation in atomic gases, Proceedings of the International School of Physics " Enrico Fermi Getting the elastic scattering length by observing inelastic collisions in ultracold metastable helium atoms, Course CXL, pp.67-176, 1999.

A. Perrin, Observation de paires d'atomes corrélés au travers de la collision de deux condensats de Bose-Einstein, 2007.

F. Schreck, Mixtures of ultracold gases: Fermi sea and Bose-Einstein condensate of lithium isotopes, Annales de Physique, vol.28, issue.2, 2002.
DOI : 10.1051/anphys:2003004
URL : https://hal.archives-ouvertes.fr/tel-00001340

A. Perrin, C. M. Savage, D. Boiron, V. Krachmalnicoff, C. I. Westbrook et al., Atomic four-wave mixing via condensate collisions, New Journal of Physics, vol.10, issue.4, p.45021, 2008.
DOI : 10.1088/1367-2630/10/4/045021
URL : https://hal.archives-ouvertes.fr/hal-00196633

J. Chwede´nczukchwede´nczuk, P. Zi´nzi´n, M. Trippenbach, A. Perrin, V. Leung et al., Pair correlations of scattered atoms from two colliding Bose-Einstein condensates: Perturbative approach, Phys. Rev. A, pp.78-053605, 2008.

K. Mölmer, A. Perrin, V. Krachmalnicoff, V. Leung, D. Boiron et al., Hanbury Brown and Twiss correlations in atoms scattered from colliding condensates, Physical Review A, vol.77, issue.3, pp.77-033601, 2008.
DOI : 10.1103/PhysRevA.77.033601

S. E. Harris, M. K. Oshman, and R. L. Byer, Observation of Tunable Optical Parametric Fluorescence, Physical Review Letters, vol.18, issue.18, p.732, 1967.
DOI : 10.1103/PhysRevLett.18.732

S. Friberg, C. K. Hong, and L. Mandel, Measurement of Time Delays in the Parametric Production of Photon Pairs, Physical Review Letters, vol.54, issue.18, p.2011, 1985.
DOI : 10.1103/PhysRevLett.54.2011

B. R. Mollow, Photon Correlations in the Parametric Frequency Splitting of Light, Physical Review A, vol.8, issue.5, p.2684, 1973.
DOI : 10.1103/PhysRevA.8.2684

M. D. Reid and D. F. Walls, Violations of classical inequalities in quantum optics, Physical Review A, vol.34, issue.2, p.1260, 1986.
DOI : 10.1103/PhysRevA.34.1260

X. Zou, L. Wang, and L. Mandel, Violation of classical probability in parametric down-conversion, Optics Communications, vol.84, issue.5-6, p.351, 1991.
DOI : 10.1016/0030-4018(91)90101-I

L. Wu, H. J. Kimble, J. L. Hall, and H. Wu, Generation of Squeezed States by Parametric Down Conversion, Physical Review Letters, vol.57, issue.20, p.2520, 1986.
DOI : 10.1103/PhysRevLett.57.2520

R. Paschotta, M. Collett, P. Kürz, K. Fiedler, H. A. Bachor et al., Bright squeezed light from a singly resonant frequency doubler, Phys. Rev. Lett, pp.72-3807, 1994.

S. Reynaud, C. Fabre, and E. Giacobino, Quantum fluctuations in a two-mode parametric oscillator, Journal of the Optical Society of America B, vol.4, issue.10, p.1520, 1987.
DOI : 10.1364/JOSAB.4.001520

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre et al., Observation of Quantum Noise Reduction on Twin Laser Beams, Physical Review Letters, vol.59, issue.22, p.2555, 1987.
DOI : 10.1103/PhysRevLett.59.2555

O. Aytür and P. Kumar, Pulsed twin beams of light, Physical Review Letters, vol.65, issue.13, p.1551, 1990.
DOI : 10.1103/PhysRevLett.65.1551

J. Gao, F. Cui, C. Xue, C. Xie, and P. Kunchi, Generation and application of twin beams from an optical parametric oscillator including an ?-cut KTP crystal, Optics Letters, vol.23, issue.11, p.870, 1998.
DOI : 10.1364/OL.23.000870

A. Aspect, P. Grangier, and G. Roger, Experimental Tests of Realistic Local Theories via Bell's Theorem, Physical Review Letters, vol.47, issue.7, p.460, 1981.
DOI : 10.1103/PhysRevLett.47.460

A. Aspect, P. Grangier, and G. Roger, : A New Violation of Bell's Inequalities, Physical Review Letters, vol.49, issue.2, p.91, 1982.
DOI : 10.1103/PhysRevLett.49.91

A. Aspect, J. Dalibard, and G. Roger, Experimental Test of Bell's Inequalities Using Time- Varying Analyzers, Physical Review Letters, vol.49, issue.25, p.1804, 1982.
DOI : 10.1103/PhysRevLett.49.1804

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko et al., New High-Intensity Source of Polarization-Entangled Photon Pairs, Physical Review Letters, vol.75, issue.24, p.4337, 1995.
DOI : 10.1103/PhysRevLett.75.4337

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, Violation of Bell Inequalities by Photons More Than 10 km Apart, Physical Review Letters, vol.81, issue.17, p.3563, 1998.
DOI : 10.1103/PhysRevLett.81.3563

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, Violation of Bell's Inequality under Strict Einstein Locality Conditions, Physical Review Letters, vol.81, issue.23, p.5039, 1998.
DOI : 10.1103/PhysRevLett.81.5039

K. V. Kheruntsyan and P. D. Drummond, Quantum correlated twin atomic beams via photodissociation of a molecular Bose-Einstein condensate, Physical Review A, vol.66, issue.3, pp.66-031602, 2002.
DOI : 10.1103/PhysRevA.66.031602

C. M. Savage, K. V. Kheruntsyan-ogren, and K. V. Kheruntsyan, Spatial Pair Correlations of Atoms in Molecular Dissociation, Physical Review Letters, vol.99, issue.22, pp.220404-78, 2007.
DOI : 10.1103/PhysRevLett.99.220404

P. Zi´nzi´n, J. Chwede´nczukchwede´nczuk, and M. Trippenbach, Elastic scattering losses from colliding Bose-Einstein condensates, Phys. Rev. A, pp.73-033602, 2006.

R. Bach, M. Trippenbach, and K. Rza¸?-zewski, Spontaneous emission of atoms via collisions of Bose-Einstein condensates, Physical Review A, vol.65, issue.6, pp.65-063605, 2002.
DOI : 10.1103/PhysRevA.65.063605

M. Sargent, I. , D. A. Holm, and M. S. Zubairy, Quantum theory of multiwave mixing. I. General formalism, Physical Review A, vol.31, issue.5, pp.31-3112, 1985.
DOI : 10.1103/PhysRevA.31.3112

N. A. Ansari and M. S. Zubairy, Violation of Cauchy-Schwarz and Bell???s inequalities in four-wave mixing, Physical Review A, vol.38, issue.5, p.2380, 1988.
DOI : 10.1103/PhysRevA.38.2380

K. V. Kheruntsyan, Matter-wave amplification and phase conjugation via stimulated dissociation of a molecular Bose-Einstein condensate, Physical Review A, vol.71, issue.5, pp.71-053609, 2005.
DOI : 10.1103/PhysRevA.71.053609

P. D. Drummond, P. Deuar, and J. F. Corney, Quantum many-body simulations using gaussian phase-space representations " . arXiv:quant-ph, p.608247, 2006.
DOI : 10.1134/s0030400x07070028
URL : http://arxiv.org/abs/quant-ph/0608247

L. Duan, A. Sørensen, J. I. Cirac, and P. Zoller, Squeezing and Entanglement of Atomic Beams, Physical Review Letters, vol.85, issue.19, p.3991, 2000.
DOI : 10.1103/PhysRevLett.85.3991

S. Inouye, A. P. Chikkatur, D. M. Stamper-kurn, J. Stenger, D. E. Pritchard et al., Superradiant Rayleigh Scattering from a Bose-Einstein Condensate, Science, vol.285, issue.5427, pp.285-571, 1999.
DOI : 10.1126/science.285.5427.571

H. Pu, W. Zhang, and P. Meystre, Wave Mixing of Optical Pulses and Bose-Einstein Condensates, Physical Review Letters, vol.91, issue.15, p.150407, 2003.
DOI : 10.1103/PhysRevLett.91.150407

M. G. Moore and P. Meystre, Theory of Superradiant Scattering of Laser Light from Bose-Einstein Condensates, Physical Review Letters, vol.83, issue.25, p.5202, 1999.
DOI : 10.1103/PhysRevLett.83.5202

Y. Castin and R. Dum, Bose-Einstein Condensates in Time Dependent Traps, Physical Review Letters, vol.77, issue.27, pp.77-5315, 1996.
DOI : 10.1103/PhysRevLett.77.5315

J. G. Rarity and P. R. Tapster, Experimental violation of Bell???s inequality based on phase and momentum, Physical Review Letters, vol.64, issue.21, p.2495, 1990.
DOI : 10.1103/PhysRevLett.64.2495

K. M. Hilligsöe and K. Mölmer, Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential, Physical Review A, vol.71, issue.4, pp.71-041602, 2005.
DOI : 10.1103/PhysRevA.71.041602

G. K. Campbell, J. Mun, M. Boyd, E. W. Streed, W. Ketterle et al., Parametric Amplification of Scattered Atom Pairs, Physical Review Letters, vol.96, issue.2, p.20406, 2006.
DOI : 10.1103/PhysRevLett.96.020406

A. J. Ferris, M. K. Olsen, and M. K. Davis, Atomic entanglement generation and detection via degenerate four-wave mixing of a Bose-Einstein condensate in an optical lattice, Physical Review A, vol.79, issue.4, 2009.
DOI : 10.1103/PhysRevA.79.043634

W. Ketterle and S. Inouye, Does Matter Wave Amplification Work for Fermions?, Physical Review Letters, vol.86, issue.19, p.4203, 2001.
DOI : 10.1103/PhysRevLett.86.4203

M. G. Moore and P. Meystre, Atomic Four-Wave Mixing: Fermions versus Bosons, Physical Review Letters, vol.86, issue.19, p.4199, 2001.
DOI : 10.1103/PhysRevLett.86.4199

T. Kinoshita, T. Wenger, and D. S. Weiss, Local Pair Correlations in One-Dimensional Bose Gases, Physical Review Letters, vol.95, issue.19, p.190406, 2005.
DOI : 10.1103/PhysRevLett.95.190406

B. L. Tolra, K. M. O-'hara, J. H. Huckans, W. D. Phillips, S. L. Rolston et al., Observation of Reduced Three-Body Recombination in a Correlated 1D Degenerate Bose Gas, Physical Review Letters, vol.92, issue.19, p.190401, 2004.
DOI : 10.1103/PhysRevLett.92.190401

J. Esteve, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Squeezing and entanglement in a Bose???Einstein condensate, Nature, vol.96, issue.7217, pp.455-1216, 2008.
DOI : 10.1038/nature07332

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

T. Gericke, P. Würtz, D. Reitz, T. Langen, H. Ott136-]-r et al., High-resolution scanning electron microscopy of an ultracold quantum gas, Nature Physics, vol.4, issue.12, p.949, 2008.
DOI : 10.1103/PHYSREVLETT.88.093201

B. Deconihout, F. Vurpillot, M. Bouet, and L. Renaud, Improved ion detection efficiency of microchannel plate detectors, Review of Scientific Instruments, vol.73, issue.4, p.1734, 2002.
DOI : 10.1063/1.1461882

M. Bonneau, Optique atomique quantique: amélioration de l'efficacité de détection des atomes et caractérisation d'une diode laser en cavitécavitéétendue, 2008.