Dynamics of a Bose-Einstein Condensate in Optical Trap, Nonlinearity and Disorder: Theory and Applications (Fatkhulla Abdullaev, NATO Science Series, pp.69-78, 2001. ,
Soliton perturbations and the random Kepler problem, Phys. D, vol.135, pp.3-4, 2000. ,
Observation of Vortex Lattices in Bose-Einstein Condensates, Science, vol.292, issue.5516, pp.476-479, 2001. ,
DOI : 10.1126/science.1060182
Rare event simulation related to financial risks: efficient estimation and sensitivity analysis, preprint, 2015. ,
Theory of the weakly interacting Bose gas, Reviews of Modern Physics, vol.31, issue.2, pp.599-639, 2004. ,
DOI : 10.1007/s100510050905
Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor, Science, vol.269, issue.5221, pp.198-201, 1995. ,
DOI : 10.1126/science.269.5221.198
Computational methods for the dynamics of the nonlinear Schr??dinger/Gross???Pitaevskii equations, Computer Physics Communications, vol.184, issue.12, pp.2621-2633, 2013. ,
DOI : 10.1016/j.cpc.2013.07.012
GPELab, a Matlab toolbox to solve Gross???Pitaevskii equations II: Dynamics and stochastic simulations, Computer Physics Communications, vol.193, pp.95-117, 2015. ,
DOI : 10.1016/j.cpc.2015.03.012
URL : https://hal.archives-ouvertes.fr/hal-01095568
Accelerating Metropolis-Hastings algorithms by delayed acceptance, 2015. ,
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schr??dinger Equation with Wave Operator, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.492-521, 2012. ,
DOI : 10.1137/110830800
Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow, SIAM Journal on Scientific Computing, vol.25, issue.5, pp.1674-1697, 2004. ,
DOI : 10.1137/S1064827503422956
Numerical solution of the Gross???Pitaevskii equation for Bose???Einstein condensation, Journal of Computational Physics, vol.187, issue.1, pp.318-342, 2003. ,
DOI : 10.1016/S0021-9991(03)00102-5
A Generalized-Laguerre???Fourier???Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose???Einstein Condensates, SIAM Journal on Scientific Computing, vol.31, issue.5, pp.3685-3711, 2009. ,
DOI : 10.1137/080739811
A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates, SIAM Journal on Scientific Computing, vol.26, issue.6, pp.2010-2028, 2005. ,
DOI : 10.1137/030601211
URL : http://arxiv.org/pdf/cond-mat/0310378
DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX STATES IN BOSE???EINSTEIN CONDENSATION, Mathematical Models and Methods in Applied Sciences, vol.40, issue.12, pp.1863-1896, 2005. ,
DOI : 10.1016/0375-9601(90)90092-3
Weak coupling limit of the N -particle Schrödinger equation Cathleen Morawetz: a great mathematician, Methods Appl. Anal, vol.7, issue.2, pp.275-293, 2000. ,
All-Optical Formation of an Atomic Bose-Einstein Condensate, Physical Review Letters, vol.85, issue.1, p.10404, 2001. ,
DOI : 10.1103/PhysRevLett.85.1795
Mécanique quantique, Cours de l'Ecole Polytechnique, 2002. ,
Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion, Stochastic Partial Differential Equations, Analysis and Computations, vol.3, issue.1, pp.103-132, 2015. ,
The Schrödinger Equation, Mathematics and its Applications (Soviet Series), 1991. ,
High Order Exponential Integrators for Nonlinear Schr??dinger Equations with Application to Rotating Bose--Einstein Condensates, SIAM Journal on Numerical Analysis, vol.55, issue.3, pp.1387-1411, 2017. ,
DOI : 10.1137/15M1029047
Non-reversible Metropolis-Hastings, Statistics and Computing, vol.240, issue.4???5, pp.1-16, 2015. ,
DOI : 10.1007/978-3-642-61859-8
URL : https://link.springer.com/content/pdf/10.1007%2Fs11222-015-9598-x.pdf
The Zig-Zag process and super-efficient sampling for Bayesian analysis of Big Data, 2016. ,
Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques, Advances in Physics, vol.146, issue.5, pp.363-455, 2008. ,
DOI : 10.1137/030601211
Plancks Gesetz und Lichtquantenhypothese, Zeitschrift f???r Physik, vol.26, issue.1, pp.178-181, 1924. ,
DOI : 10.1007/BF01327326
Pathwise accuracy and ergodicity of metropolized integrators for SDEs, Communications on Pure and Applied Mathematics, vol.106, issue.3, pp.655-696, 2010. ,
DOI : 10.1017/CBO9780511526237
The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method, Journal of the American Statistical Association, vol.1, issue.1, 2017. ,
DOI : 10.1214/15-BA982
Generalisation of the Eyring???Kramers Transition Rate Formula to Irreversible Diffusion Processes, Annales Henri Poincar??, vol.36, issue.3, pp.3499-3532, 2016. ,
DOI : 10.1137/0136043
URL : https://hal.archives-ouvertes.fr/ensl-01174112
Bose-Einstein condensation from a rotating thermal cloud: Vortex nucleation and lattice formation, Physical Review A, vol.329, issue.333, p.33616, 2008. ,
DOI : 10.1103/PhysRevLett.98.110402
URL : http://arxiv.org/pdf/0712.3436
Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions, Physical Review Letters, vol.51, issue.9, pp.75-1687, 1995. ,
DOI : 10.1103/PhysRevA.51.3896
Unbiasedness of some generalized adaptive multilevel splitting algorithms, The Annals of Applied Probability, vol.26, issue.6, 2015. ,
DOI : 10.1214/16-AAP1185
Quadrupole Oscillation of a Single-Vortex Bose-Einstein Condensate: Evidence for Kelvin Modes, Physical Review Letters, vol.13, issue.10, pp.90-100403, 2003. ,
DOI : 10.1103/PhysRevLett.87.160406
URL : https://hal.archives-ouvertes.fr/hal-00001440
Méthodes mathématiques en chimie quantique, Une introduction, Mathématiques & Applications (Berlin) [Mathematics & Applications], 2006. ,
Theoretical and numerical comparison of some sampling methods for molecular dynamics, ESAIM: Mathematical Modelling and Numerical Analysis, vol.88, issue.2, pp.351-389, 2007. ,
DOI : 10.1103/PhysRevLett.88.100201
Inference in Hidden Markov Models, 2005. ,
Adaptive Multilevel Splitting for Rare Event Analysis, Stochastic Analysis and Applications, vol.23, issue.2, pp.417-443, 2007. ,
DOI : 10.1017/CBO9780511802256
A multiple replica approach to simulate reactive trajectories, The Journal of Chemical Physics, vol.12, issue.5, p.54108, 2011. ,
DOI : 10.1137/1035046
Spectra of Linearized Operators for NLS Solitary Waves, SIAM Journal on Mathematical Analysis, vol.39, issue.4, pp.1070-1111, 2007. ,
DOI : 10.1137/050648389
Convergence of a ?-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise, Stochastic Partial Differential Equations, Analysis and Computations, pp.1-45, 2015. ,
Lifting Markov chains to speed up mixing, Proceedings of the thirty-first annual ACM symposium on Theory of computing , STOC '99, pp.275-281, 1999. ,
DOI : 10.1145/301250.301315
URL : http://www.cs.yale.edu/HTML/YALE/CS/HyPlans/lovasz/liftst99.ps
Nobel Lecture: Manipulating atoms with photons, Reviews of Modern Physics, vol.35, issue.3, pp.707-719, 1998. ,
DOI : 10.1103/PhysRevA.35.198
La condensation de Bose-Einstein dans les gaz, Einstein aujourd'hui, EDP Sciences et CNRS Editions, pp.87-127, 2005. ,
Quasi-Stationary Distributions, 2012. ,
DOI : 10.1007/978-3-642-33131-2
URL : https://hal.archives-ouvertes.fr/hal-00666794
Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences, 1997. ,
DOI : 10.1007/978-1-4614-4942-3
Theory of Bose-Einstein condensation in trapped gases, Reviews of Modern Physics, vol.32, issue.3, pp.71-463, 1999. ,
DOI : 10.1103/PhysRevA.57.4695
Statistique de Bose?Einstein et condensation, Cours ducolì ege de France, 2016. ,
Bose-Einstein condensation in a gas of sodium atoms, Phys. Rev. Lett, pp.75-3969, 1995. ,
A semi-discrete scheme for the stochastic nonlinear Schrödinger equation, Numerische Mathematik, vol.96, issue.4, pp.733-770, 2004. ,
Random modulation of solitons for the stochastic Korteweg???de Vries equation, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.24, issue.2, pp.251-278, 2007. ,
DOI : 10.1016/j.anihpc.2006.03.009
URL : https://hal.archives-ouvertes.fr/hal-00383280
Stochastic fluctuations in the Gross???Pitaevskii equation, Nonlinearity, vol.20, issue.12, p.2823, 2007. ,
DOI : 10.1088/0951-7715/20/12/005
Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time, Discrete and Continuous Dynamical Systems -Series, pp.2793-2817, 2015. ,
Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise, Discrete Contin, Dyn. Syst, vol.26, issue.3, pp.857-871, 2010. ,
The inhomogeneous Kibble???Zurek mechanism: vortex nucleation during Bose???Einstein condensation, New Journal of Physics, vol.13, issue.8, p.83022, 2011. ,
DOI : 10.1088/1367-2630/13/8/083022
Finite-difference solutions of a non-linear Schr??dinger equation, Journal of Computational Physics, vol.44, issue.2, pp.277-288, 1981. ,
DOI : 10.1016/0021-9991(81)90052-8
Transition Path Sampling and Other Advanced Simulation Techniques for Rare Events, pp.167-233, 2009. ,
DOI : 10.1007/978-3-540-87706-6_3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.621.4154
Generating Solitons by Phase Engineering of a Bose-Einstein Condensate, Science, vol.287, issue.5450, pp.97-101, 2000. ,
DOI : 10.1126/science.287.5450.97
Jump Markov models and transition state theory: the quasi-stationary distribution approach, Faraday Discuss, vol.195, pp.469-495, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01314233
Numerical computation of solitons for optical systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.87, issue.1, pp.173-208, 2009. ,
DOI : 10.1007/BF01208265
Analysis of a nonreversible Markov chain sampler, The Annals of Applied Probability, vol.10, issue.3, pp.726-752, 2000. ,
DOI : 10.1214/aoap/1019487508
Exponential and Uniform Ergodicity of Markov Processes, The Annals of Probability, vol.23, issue.4, pp.1671-1691, 1995. ,
DOI : 10.1214/aop/1176987798
URL : http://doi.org/10.1214/aop/1176987798
Fast Discrete Polynomial Transforms with Applications to Data Analysis for Distance Transitive Graphs, SIAM Journal on Computing, vol.26, issue.4, pp.1066-1099, 1997. ,
DOI : 10.1137/S0097539792240121
URL : http://pascal.dartmouth.edu/~rockmore/24012.ps.gz
Hybrid Monte Carlo, Physics Letters B, vol.195, issue.2, pp.216-222, 1987. ,
DOI : 10.1016/0370-2693(87)91197-X
Analysis of a splitting scheme for a class of random nonlinear partial differential equations, ESAIM: Probability and Statistics, vol.50, issue.40, pp.572-589, 2016. ,
DOI : 10.1002/9780470316658
Variance Reduction Using Nonreversible Langevin Samplers, Journal of Statistical Physics, vol.155, issue.3, pp.457-491, 2016. ,
DOI : 10.1007/s10955-014-0963-5
URL : https://hal.archives-ouvertes.fr/hal-01164466
Optical dipole trap inside a laser resonator, Optics Letters, vol.29, issue.10, pp.1147-1149, 2004. ,
DOI : 10.1364/OL.29.001147
Derivation of the cubic non-linear Schr??dinger equation from quantum dynamics of many-body systems, Inventiones mathematicae, vol.116, issue.4, pp.515-614, 2007. ,
DOI : 10.4310/ATMP.2001.v5.n6.a6
Improving dynamical properties of metropolized discretizations of overdamped Langevin dynamics, Numerische Mathematik, vol.69, issue.10, pp.545-602, 2017. ,
DOI : 10.1063/1.436415
URL : https://hal.archives-ouvertes.fr/hal-01153573
Réalisation d'un dispositif de condensation de Bose?Einstein et de transport d'un echantillon cohérent d'atomes, 2004. ,
Theory of singular vortex solutions of the nonlinear Schrödinger equation, Phys, pp.2696-2730, 2008. ,
Random Perturbations of Dynamical Systems, Fundamental Principles of Mathematical Sciences], vol.260 ,
Solitary Wave Dynamics in an External Potential, Communications in Mathematical Physics, vol.16, issue.3, pp.613-642, 2004. ,
DOI : 10.1002/cpa.3160390103
The stochastic Gross-Pitaevskii equation, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.35, issue.6, p.1555, 2002. ,
DOI : 10.1088/0953-4075/35/6/310
The stochastic Gross???Pitaevskii equation: II, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.36, issue.23, p.4731, 2003. ,
DOI : 10.1088/0953-4075/36/23/010
Collapse of a Bose-Einstein condensate induced by fluctuations of the laser intensity, Physical Review A, vol.303, issue.5, p.53607, 2004. ,
DOI : 10.1103/PhysRevLett.77.2921
Analyse de modèles mathématiques pour la propagation de lalumì ere dans les fibres optiques en présence de biréfringence aléatoire Probability and pathwise order of convergence of a semidiscrete scheme for the stochastic Manakov equation, SIAM J. Numer. Anal, vol.84, issue.1, pp.52-533, 2012. ,
Dynamics of noise-induced heating in atom traps, Physical Review A, vol.2, issue.5, pp.3914-3921, 1998. ,
DOI : 10.1364/JOSAB.2.001707
On the global Cauchy problem for some non linear Schr??dinger equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.1, issue.4, pp.309-323, 1984. ,
DOI : 10.1016/S0294-1449(16)30425-5
Rare Event Simulation Using Reversible Shaking Transformations, SIAM Journal on Scientific Computing, vol.37, issue.5, pp.2295-2316, 2015. ,
DOI : 10.1137/14098418X
URL : https://hal.archives-ouvertes.fr/hal-01058748
Evaporative cooling and Bose?Einstein condensation of Rb-87 in a moving?coil TOP trap geometry, 2010. ,
Structure of a quantized vortex in boson systems, Il Nuovo Cimento, vol.8, issue.3, pp.454-477, 1955. ,
DOI : 10.1007/BF02731494
An Adaptive Metropolis Algorithm, Bernoulli, vol.7, issue.2, pp.223-242, 2001. ,
DOI : 10.2307/3318737
URL : http://www.geo.fmi.fi/~jtammine/ampure.ps.gz
Geometric Numerical Integration, 2002. ,
DOI : 10.4171/owr/2006/14
URL : https://hal.archives-ouvertes.fr/hal-01403326
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary, Mémoires de la Société mathématique de France, vol.1, pp.1-89, 2006. ,
DOI : 10.24033/msmf.417
URL : https://hal.archives-ouvertes.fr/hal-00002744
An irreversible Markov-chain Monte Carlo method with skew detailed balance conditions, Journal of Physics: Conference Series, vol.473, issue.1, p.12012, 2013. ,
DOI : 10.1088/1742-6596/473/1/012012
Finite Temperature Excitations of a Trapped Bose Gas, Physical Review Letters, vol.78, issue.10, 1997. ,
DOI : 10.1103/PhysRevLett.78.764
Accelerating Gaussian Diffusions, The Annals of Applied Probability, vol.3, issue.3, pp.897-913, 1993. ,
DOI : 10.1214/aoap/1177005371
Variance reduction for diffusions, Stochastic Processes and their Applications, pp.3522-3540, 2015. ,
DOI : 10.1016/j.spa.2015.03.006
URL : http://arxiv.org/pdf/1406.4657
Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions, Journal of Differential Equations, vol.119, issue.2, pp.533-558, 1995. ,
DOI : 10.1006/jdeq.1995.1101
Finite-temperature vortex dynamics in Bose-Einstein condensates, Physical Review A, vol.109, issue.5, p.53615, 2009. ,
DOI : 10.1103/PhysRevLett.91.100402
URL : http://arxiv.org/pdf/0809.4400
-body simulations, Physical Review A, vol.88, issue.3, p.33606, 2002. ,
DOI : 10.1103/PhysRevLett.88.010402
Taylor Approximations for Stochastic Partial Differential Equations, 2011. ,
DOI : 10.1137/1.9781611972016
Temperature-dependent damping and frequency shifts in collective excitations of a, pp.493-496, 2012. ,
Long Time Motion of NLS Solitary Waves in a Confining Potential, Annales Henri Poincar??, vol.7, issue.4, pp.621-660, 2006. ,
DOI : 10.1007/s00023-006-0263-y
Cost of the generalised hybrid Monte Carlo algorithm for free field theory, Nuclear Physics B, vol.607, issue.3, pp.456-510, 2001. ,
DOI : 10.1016/S0550-3213(01)00129-8
Making, probing and understanding Bose?Einstein condensates, Proceedings of the international school of physics Bibliography " Enrico Fermi, p.67, 1999. ,
Topology of cosmic domains and strings, Journal of Physics A: Mathematical and General, vol.9, issue.8, p.1387, 1976. ,
DOI : 10.1088/0305-4470/9/8/029
URL : http://iopscience.iop.org/article/10.1088/0305-4470/9/8/029/pdf
Existence and stability of vortex solutions of certain nonlinear Schrödinger equations, p.147 ,
Spectral Stability of Vortices in Two-Dimensional Bose???Einstein Condensates via the Evans Function and Krein Signature, Applied Mathematics Research eXpress, vol.2012, issue.1, pp.1-46, 2012. ,
DOI : 10.1093/amrx/abr007
Stochastic Flows and Stochastic Differential Equations, Cambridge Studies in Advanced Mathematics, 1997. ,
Spontaneous creation of Kibble???Zurek solitons in a Bose???Einstein condensate, Nature Physics, vol.13, issue.10, pp.656-660, 2013. ,
DOI : 10.1103/PhysRevLett.51.1336
A fast Hermite transform, Theoretical Computer Science, vol.409, issue.2, pp.211-228, 2008. ,
DOI : 10.1016/j.tcs.2008.09.010
URL : https://doi.org/10.1016/j.tcs.2008.09.010
Optimal Non-reversible Linear Drift for the Convergence to Equilibrium of a Diffusion, Journal of Statistical Physics, vol.18, issue.3, pp.237-274, 2013. ,
DOI : 10.1137/0118063
Free Energy Computations: a Mathematical Perspective, 2010. ,
Partial differential equations and stochastic methods in molecular
dynamics, Acta Numerica, vol.24, pp.681-880, 2016. ,
DOI : 10.1063/1.2996509
Derivation of Hartree??s theory for generic mean-field Bose systems, Advances in Mathematics, vol.254, pp.570-621, 2014. ,
DOI : 10.1016/j.aim.2013.12.010
The Mathematics of the Bose Gas and Its Condensation, Oberwolfach Seminars, 2005. ,
Order of convergence of splitting schemes for both deterministic and stochastic nonlinear Schrödinger equations, SIAM J. Numer. Anal, vol.51, issue.4, 1911. ,
Vortex Formation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.58, issue.5, pp.806-809, 2000. ,
DOI : 10.1103/PhysRevA.58.3168
Symmetry breaking and stability of standing waves of nonlinear Schrödinger equations, 2008. ,
Error Estimates for Gauss-Laguerre and Gauss-Hermite Quadrature Formulas, pp.421-434, 1994. ,
DOI : 10.1007/978-1-4684-7415-2_28
Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Processes and their Applications, pp.185-232, 2002. ,
DOI : 10.1016/S0304-4149(02)00150-3
URL : https://doi.org/10.1016/s0304-4149(02)00150-3
Laser Cooling and Trapping, Graduate Texts in Contemporary Physics, 2001. ,
Stability of Markovian processes II: continuous-time processes and sampled chains, Advances in Applied Probability, vol.VII, issue.03, pp.487-517, 1993. ,
DOI : 10.2307/1425932
Vortex solitons for 2D focusing nonlinear Schrödinger equation, Differential Integral Equations, vol.18, issue.4, pp.431-450, 2005. ,
Hypocoercive relaxation to equilibrium for some kinetic models via a third order differential inequality, arXiv preprint arXiv:1306, p.4548, 2013. ,
Inelastic collisions in cold dipolar gases, 2010. ,
Cauchy problem and Ehrenfest's law of nonlinear Schr??dinger equations with potentials, Journal of Differential Equations, vol.81, issue.2, pp.255-274, 1989. ,
DOI : 10.1016/0022-0396(89)90123-X
Optimal scaling of the MALA algorithm with irreversible proposals for Gaussian targets, 2017. ,
Bose gases in and out of equilibrium within the stochastic Gross- Pitaevskii Equation, 2010. ,
Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, vol.44, 1983. ,
DOI : 10.1007/978-1-4612-5561-1
Spectrally Stable Encapsulated Vortices for Nonlinear Schr??dinger Equations, Journal of Nonlinear Science, vol.12, issue.4, pp.347-394, 2002. ,
DOI : 10.1007/s00332-002-0475-3
How does a magnetic trap work?, American Journal of Physics, vol.81, issue.11, pp.836-843, 2013. ,
DOI : 10.1119/1.4819167
Rejection-free Monte Carlo sampling for general potentials, Physical Review E, vol.96, issue.2, p.26703, 2012. ,
DOI : 10.1002/jcc.21915
Vortex lines in an imperfect Bose gas, Sov. Phys.?JETP, vol.13, p.451, 1961. ,
Generalized and hybrid Metropolis-Hastings overdamped Langevin algorithms , working paper or preprint, 2017. ,
Fast algorithms for discrete polynomial transforms, Mathematics of Computation, vol.67, issue.224, pp.1577-1590, 1998. ,
DOI : 10.1090/S0025-5718-98-00975-2
URL : http://www.ams.org/mcom/1998-67-224/S0025-5718-98-00975-2/S0025-5718-98-00975-2.pdf
Volume-Preserving Schemes and Numerical Experiments, Computers & Mathematics with Applications, vol.26, issue.4, pp.33-42, 1993. ,
DOI : 10.1016/0898-1221(93)90032-Q
URL : https://doi.org/10.1016/0898-1221(93)90032-q
Stable azimuthal stationary state in quintic nonlinear optical media, Journal of the Optical Society of America B, vol.14, issue.8, 1997. ,
DOI : 10.1364/JOSAB.14.002004
Analyse et simulation d'equations de Schrödinger déterministes et stochastiques. Applications aux condensats de Bose-Einstein en rotation, 2013. ,
Fourier Analysis, Self-Adjointness, 1975. ,
Irreversible Langevin samplers and variance reduction: a large deviations approach [151] , Variance reduction for irreversible Langevin samplers and diffusion on graphs, Nonlinearity Electron. Commun. Probab, vol.28, issue.16, p.pp, 2015. ,
DOI : 10.1088/0951-7715/28/7/2081
URL : https://doi.org/10.1088/0951-7715/28/7/2081
Exponential Convergence of Langevin Distributions and Their Discrete Approximations, Bernoulli, vol.2, issue.4, pp.341-363, 1996. ,
DOI : 10.2307/3318418
Numerical method for the stochastic projected Gross-Pitaevskii equation, Physical Review E, vol.89, issue.1, p.13302, 2014. ,
DOI : 10.1006/jcph.1996.5638
Brownian dynamics as smart Monte Carlo simulation, The Journal of Chemical Physics, vol.69, issue.10, pp.4628-4633, 1978. ,
DOI : 10.1063/1.435856
Laser-noise-induced heating in far-off resonance optical traps, Physical Review A, vol.21, issue.2, p.1095, 1997. ,
DOI : 10.1103/PhysRevA.21.1606
Gross-Pitaevskii theory of the rotating Bose gas, Communications in Mathematical Physics, vol.229, issue.3, pp.491-509, 2002. ,
DOI : 10.1007/s00220-002-0695-2
Nested sampling for general Bayesian computation, Bayesian Analysis, vol.1, issue.4, pp.833-859, 2006. ,
DOI : 10.1214/06-BA127
URL : http://doi.org/10.1214/06-ba127
Dynamics of fluctuating Bose?Einstein condensates, Journal of Low Temperature Physics, vol.124, issue.3/4, pp.431-442, 2001. ,
DOI : 10.1023/A:1017519118408
Dynamical invariants for variable quadratic Hamiltonians, Physica Scripta, vol.81, issue.5, p.55006, 2010. ,
DOI : 10.1088/0031-8949/81/05/055006
URL : http://arxiv.org/pdf/1002.0144.pdf
Galerkin Finite Element Methods for Parabolic Problems, 1984. ,
DOI : 10.1007/978-3-662-03359-3
Some adaptive Monte Carlo methods for Bayesian inference, Statistics in Medicine, vol.43, issue.17-18, pp.17-18, 1999. ,
DOI : 10.2307/2986121
URL : http://aim.unipv.it/~anto/papers/adaptive.ps
Eigenfunction Expansions Associated with Second-Order Differential Equations. Part I, Second Edition, 1962. ,
Restart: a method for accelerating rare event simulations, Queueing, Performance and Control, pp.71-76, 1991. ,
Lifting???A nonreversible Markov chain Monte Carlo algorithm, American Journal of Physics, vol.84, issue.12, pp.958-968, 2016. ,
DOI : 10.1119/1.4961596
URL : http://arxiv.org/pdf/1412.8762
Spontaneous formation of quantized vortices in Bose-Einstein condensates, 2008. ,
Spontaneous vortices in the formation of Bose???Einstein condensates, Nature, vol.86, issue.7215, pp.948-951, 2008. ,
DOI : 10.1038/nature07334
Modulational Stability of Ground States of Nonlinear Schr??dinger Equations, SIAM Journal on Mathematical Analysis, vol.16, issue.3, pp.472-491, 1985. ,
DOI : 10.1137/0516034
Attaining the Optimal Gaussian Diffusion Acceleration, Journal of Statistical Physics, vol.2, issue.3, pp.571-590, 2014. ,
DOI : 10.1137/1.9780898719574
URL : http://www4.ncsu.edu/~mtchu/Research/Papers/Gauss_Acceleration05.pdf
Observation of Coupled Vortex Lattices in a Mass-Imbalance Bose and Fermi Superfluid Mixture, Physical Review Letters, vol.5, issue.14, p.145301, 2016. ,
DOI : 10.1007/BF02780991
Cosmological experiments in superfluid helium?, Nature, vol.177, issue.6037, pp.505-508, 1985. ,
DOI : 10.1016/0003-4916(68)90214-5
Vortices and superfluidity in a strongly interacting Fermi gas, Nature, vol.88, issue.7045, pp.1047-1051, 2005. ,
DOI : 10.1103/PhysRevLett.88.070409
URL : http://arxiv.org/pdf/cond-mat/0505635