I thank you. Finally, I thank those friends who I met outside any common institution and with whom I shared so many glasses of wine and enriching conversations: thank you Anne ,
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
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
On the Bose-Einstein Condensation, Physical Review, vol.54, issue.11, p.947, 1938. ,
DOI : 10.1103/PhysRev.54.947
The ??-Phenomenon of Liquid Helium and the Bose-Einstein Degeneracy, Nature, vol.141, issue.3571, p.643, 1938. ,
DOI : 10.1038/141643a0
On the theory of superconductivity, p.1064, 1950. ,
Structure of a quantized vortex in boson systems, Il Nuovo Cimento, vol.8, issue.3, p.454, 1961. ,
DOI : 10.1007/BF02731494
Vortex lines in an imperfect Bose gas, Sov. Phys, p.451, 1961. ,
Theory of Bose-Einstein condensation in trapped gases, Reviews of Modern Physics, vol.71, issue.3, p.463, 1999. ,
DOI : 10.1103/RevModPhys.71.463
Bose-Einstein condensation in the alkali gases: Some fundamental concepts, Reviews of Modern Physics, vol.73, issue.2, p.307, 2001. ,
DOI : 10.1103/RevModPhys.73.307
Onset of Fermi Degeneracy in a Trap Atomic Gas, Science, vol.285, p.5434, 1999. ,
Theory of ultracold atomic Fermi gases, Reviews of Modern Physics, vol.80, issue.4, p.1215, 2008. ,
DOI : 10.1103/RevModPhys.80.1215
Many-body physics with ultracold gases, Rev. of Mod, Phys, vol.80, p.885, 2008. ,
Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, p.467, 1982. ,
DOI : 10.1007/BF02650179
Fast Rotation of a Bose-Einstein Condensate, Physical Review Letters, vol.92, issue.5, p.50403, 2004. ,
DOI : 10.1103/PhysRevLett.92.050403
Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level, Physical Review Letters, vol.92, issue.4, p.40404, 2004. ,
DOI : 10.1103/PhysRevLett.92.040404
Quantum Phases of Vortices in Rotating Bose-Einstein Condensates, Quantum Phases of Vortices in Rotating Bose-Einstein Condensates, p.120405, 2001. ,
DOI : 10.1103/PhysRevLett.87.120405
Observation of a Feshbach Resonance in Cold Atom Scattering, Physical Review Letters, vol.81, issue.1, p.69, 1998. ,
DOI : 10.1103/PhysRevLett.81.69
Observation of Feshbach resonances in a Bose???Einstein condensate, Nature, vol.77, issue.6672, p.151, 1998. ,
DOI : 10.1038/32354
Threshold and resonance phenomena in ultracold ground-state collisions, Physical Review A, vol.47, issue.5, p.4114, 1993. ,
DOI : 10.1103/PhysRevA.47.4114
Bose-Einstein Condensation of Molecules, Bose-Einstein Condensation of Molecules, p.2101, 2003. ,
DOI : 10.1126/science.1093280
Observation of Bose-Einstein Condensation of Molecules, Physical Review Letters, vol.91, issue.25, p.250401, 2003. ,
DOI : 10.1103/PhysRevLett.91.250401
Cold Bosonic Atoms in Optical Lattices, Physical Review Letters, vol.81, issue.15, p.3108, 1998. ,
DOI : 10.1103/PhysRevLett.81.3108
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature, vol.415, issue.6867, p.39, 2002. ,
DOI : 10.1038/415039a
Bose-Einstein condensation in an external potential, Physical Review A, vol.35, issue.10, p.4354, 1987. ,
DOI : 10.1103/PhysRevA.35.4354
Realization of Bose-Einstein Condensates in Lower Dimensions, Physical Review Letters, vol.87, issue.13, p.130402, 2001. ,
DOI : 10.1103/PhysRevLett.87.130402
Observation of a One-Dimensional Tonks-Girardeau Gas, Science, vol.305, issue.5687, p.1125, 2004. ,
DOI : 10.1126/science.1100700
Two-Dimensional Bose-Einstein Condensate in an Optical Surface Trap, Physical Review Letters, vol.92, issue.17, p.173003, 2004. ,
DOI : 10.1103/PhysRevLett.92.173003
Squeezed States in a Bose-Einstein Condensate, Science, vol.291, issue.5512, p.2386, 2001. ,
DOI : 10.1126/science.1058149
Interference of an Array of Independent Bose-Einstein Condensates, Physical Review Letters, vol.93, issue.18, p.180403, 2004. ,
DOI : 10.1103/PhysRevLett.93.180403
URL : https://hal.archives-ouvertes.fr/hal-00001592
Quasi-2D confinement of a BEC in a combined optical and magnetic potential, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.38, issue.3, p.223, 2005. ,
DOI : 10.1088/0953-4075/38/3/007
Two-Dimensional Atom Trapping in Field-Induced Adiabatic Potentials, Physical Review Letters, vol.86, issue.7, p.1195, 2001. ,
DOI : 10.1103/PhysRevLett.86.1195
Ultracold atoms confined in rf-induced two-dimensional trapping potentials, Europhysics Letters (EPL), vol.67, issue.4, p.593, 2004. ,
DOI : 10.1209/epl/i2004-10095-7
URL : https://hal.archives-ouvertes.fr/hal-00001226
Non-equilibrium coherence dynamics in one-dimensional Bose gases, Nature, vol.78, issue.7160, p.324, 2007. ,
DOI : 10.1038/nature06149
Superfluid to Mott insulator transition in one, two, and three dimensions, Journal of Low Temperature Physics, vol.86, issue.3-4, p.635, 2005. ,
DOI : 10.1007/s10909-005-2273-4
Mott-Insulator Transition in a Two-Dimensional Atomic Bose Gas, Physical Review Letters, vol.98, issue.8, p.80404, 2007. ,
DOI : 10.1103/PhysRevLett.98.080404
Berezinskii???Kosterlitz???Thouless crossover in a trapped atomic gas, Nature, vol.39, issue.7097, p.1118, 2006. ,
DOI : 10.1038/nature04851
URL : https://hal.archives-ouvertes.fr/hal-00067716
Critical Point of an Interacting Two-Dimensional Atomic Bose Gas, Physical Review Letters, vol.99, issue.4, p.40402, 2007. ,
DOI : 10.1103/PhysRevLett.99.040402
Observation of a 2D Bose Gas: From Thermal to Quasicondensate to Superfluid, Physical Review Letters, vol.102, issue.17, p.170401, 2009. ,
DOI : 10.1103/PhysRevLett.102.170401
Transition BKT et potentiels géométriques dans le gaz de Bose bidimensionnel, 2009. ,
Two-dimensional weakly interacting Bose gas in the fluctuation region, Phys. Rev. A, vol.66, p.43608, 2002. ,
Kosterlitz-Thouless Transition of the Quasi-Two-Dimensional Trapped Bose Gas, Physical Review Letters, vol.100, issue.19, p.190402, 2008. ,
DOI : 10.1103/PhysRevLett.100.190402
Magnetic transport of trapped cold atoms over a large distance, Physical Review A, vol.63, issue.3, p.31401, 2001. ,
DOI : 10.1103/PhysRevA.63.031401
Trapping of Neutral Sodium Atoms with Radiation Pressure, Physical Review Letters, vol.59, issue.23, p.2631, 1987. ,
DOI : 10.1103/PhysRevLett.59.2631
Phase-space density in the magneto-optical trap, Physical Review A, vol.52, issue.2, p.1423, 1995. ,
DOI : 10.1103/PhysRevA.52.1423
Observation of Atoms Laser Cooled below the Doppler Limit, Physical Review Letters, vol.61, issue.2, p.169, 1988. ,
DOI : 10.1103/PhysRevLett.61.169
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
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
Towards a new generation BEC experiment, p.internship report, 2006. ,
The art of electronics, 1989. ,
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
Bose-Einstein Condensation in a Tightly Confining dc Magnetic Trap, Bose-Einstein Condensation in a Tightly Confining dc Magnetic Trap, p.416, 1996. ,
DOI : 10.1103/PhysRevLett.77.416
All-Optical Formation of an Atomic Bose-Einstein Condensate, Physical Review Letters, vol.87, issue.1, p.10404, 2001. ,
DOI : 10.1103/PhysRevLett.87.010404
Theory of energy transfer II, Phys, Z. Sowjetunion, vol.2, p.46, 1932. ,
Non-Adiabatic Crossing of Energy Levels, Proc. R. Soc. London, p.696, 1932. ,
DOI : 10.1098/rspa.1932.0165
Nonadiabatic effects in the dynamics of atoms confined in a cylindric time-orbiting-potential magnetic trap, Physical Review A, vol.70, issue.5, p.53603, 2004. ,
DOI : 10.1103/PhysRevA.70.053603
A Well-Collimated Quasi-Continuous Atom Laser, Well-Collimated Quasi-Continuous Atom Laser, p.1706, 1999. ,
DOI : 10.1126/science.283.5408.1706
Bose-Einstein condensation of rubidium atoms in a triaxial TOP trap, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.33, issue.19, p.4095, 2000. ,
DOI : 10.1088/0953-4075/33/19/320
Bose-Einstein condensation in a stiff TOP trap with adjustable geometry, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.33, issue.19, p.4087, 2000. ,
DOI : 10.1088/0953-4075/33/19/319
Exchange-Collision Technique for the rf Spectroscopy of Stored Ions, Physical Review, vol.170, issue.1, p.91, 1968. ,
DOI : 10.1103/PhysRev.170.91
Magnetic confinement of a neutral gas, Nature, vol.44, issue.110, p.30, 1985. ,
DOI : 10.1038/318030a0
Theory of Bose-Einstein condensation of atomic hydrogen in a dynamic trap, Physical Review A, vol.35, issue.9, p.3597, 1987. ,
DOI : 10.1103/PhysRevA.35.3597
Multiply loaded, ac magnetic trap for neutral atoms, Physical Review Letters, vol.67, issue.18, p.2439, 1991. ,
DOI : 10.1103/PhysRevLett.67.2439
Dynamic stability of the time-averaged orbiting potential trap: Exact classical analysis, Journal of Applied Physics, vol.86, issue.4, p.2250, 1999. ,
DOI : 10.1063/1.371038
Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap, Physical Review Letters, vol.85, issue.21, p.4454, 2000. ,
DOI : 10.1103/PhysRevLett.85.4454
Vortices in a Bose-Einstein Condensate, Vortices in a Bose-Einstein Condensate, p.2498, 1999. ,
DOI : 10.1103/PhysRevLett.83.2498
Vortex Formation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.84, issue.5, p.806, 2000. ,
DOI : 10.1103/PhysRevLett.84.806
Vortex Nucleation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.87, issue.21, p.210402, 2001. ,
DOI : 10.1103/PhysRevLett.87.210402
Bose-Einstein condensation in a rotating anisotropic TOP trap, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.32, issue.24, p.5861, 1999. ,
DOI : 10.1088/0953-4075/32/24/320
Vortex Nucleation in Bose-Einstein Condensates in an Oblate, Purely Magnetic Potential, Physical Review Letters, vol.88, issue.1, p.10405, 2001. ,
DOI : 10.1103/PhysRevLett.88.010405
Bose-Einstein Condensates with Large Number of Vortices, Physical Review Letters, vol.87, issue.6, p.60403, 2001. ,
DOI : 10.1103/PhysRevLett.87.060403
Spinning up and down a Boltzmann gas, Physical Review A, vol.62, issue.3, p.33607, 2000. ,
DOI : 10.1103/PhysRevA.62.033607
Time-dependent control of ultracold atoms in magnetic traps, Physical Review A, vol.56, issue.6, p.4377, 1997. ,
DOI : 10.1103/PhysRevA.56.R4377
Trapping and cooling of rf-dressed atoms in a quadrupole magnetic field, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.40, issue.20, p.4013, 2007. ,
DOI : 10.1088/0953-4075/40/20/004
URL : https://hal.archives-ouvertes.fr/hal-00173059
Matter-wave interferometry in a double well on an atom chip, Nature Physics, vol.79, issue.1, p.57, 2005. ,
DOI : 10.1038/435440a
Probing quantum and thermal noise in an interacting many-body system, Nature Physics, vol.0701, issue.6, p.489, 2008. ,
DOI : 10.1038/nphys941
Time-Averaged Adiabatic Potentials: Versatile Matter-Wave Guides and Atom Traps, Physical Review Letters, vol.99, issue.8, p.83001, 2007. ,
DOI : 10.1103/PhysRevLett.99.083001
Ultracold atoms in radio-frequency dressed potentials beyond the rotating-wave approximation, Physical Review A, vol.76, issue.1, p.13401, 2007. ,
DOI : 10.1103/PhysRevA.76.013401
RF spectroscopy in a resonant RF-dressed trap, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.43, issue.6, p.65302, 2010. ,
DOI : 10.1088/0953-4075/43/6/065302
URL : https://hal.archives-ouvertes.fr/hal-00456214
Transverse Breathing Mode of an Elongated Bose-Einstein Condensate, Physical Review Letters, vol.88, issue.25, p.250402, 2002. ,
DOI : 10.1103/PhysRevLett.88.250402
URL : https://hal.archives-ouvertes.fr/hal-00002531
Collective oscillations of a classical gas confined in harmonic traps, Physical Review A, vol.60, issue.6, p.4851, 1999. ,
DOI : 10.1103/PhysRevA.60.4851
Collective Excitations of a Trapped Bose-Condensed Gas, Physical Review Letters, vol.77, issue.12, p.2360, 1996. ,
DOI : 10.1103/PhysRevLett.77.2360
Collective Excitations of a Bose-Einstein Condensate in a Magnetic Trap, Physical Review Letters, vol.77, issue.6, p.988, 1996. ,
DOI : 10.1103/PhysRevLett.77.988
Collective Excitations of a Bose-Einstein Condensate in a Dilute Gas, Physical Review Letters, vol.77, issue.3, p.420, 1996. ,
DOI : 10.1103/PhysRevLett.77.420
Collective Excitations of Atomic Bose-Einstein Condensates, Physical Review Letters, vol.77, issue.9, p.1671, 1996. ,
DOI : 10.1103/PhysRevLett.77.1671
Probing the linear and nonlinear excitations of Bose-condensed neutral atoms in a trap, Physical Review A, vol.54, issue.5, p.4178, 1996. ,
DOI : 10.1103/PhysRevA.54.4178
Collisionless and Hydrodynamic Excitations of a Bose-Einstein Condensate, Physical Review Letters, vol.81, issue.3, p.500, 1998. ,
DOI : 10.1103/PhysRevLett.81.500
Collisionless dynamics of dilute Bose gases: Role of quantum and thermal fluctuations, Physical Review A, vol.61, issue.6, p.63615, 2000. ,
DOI : 10.1103/PhysRevA.61.063615
Bose-Einstein Condensates in Time Dependent Traps, Physical Review Letters, vol.77, issue.27, p.5315, 1996. ,
DOI : 10.1103/PhysRevLett.77.5315
Atom cooling, trapping, and quantum manipulation, Reviews of Modern Physics, vol.71, issue.2, p.253, 1999. ,
DOI : 10.1103/RevModPhys.71.S253
An Opto-electric Trap for Cold Atoms, Europhysics Letters (EPL), vol.32, issue.7, p.555, 1995. ,
DOI : 10.1209/0295-5075/32/7/003
Trapping and Manipulating Neutral Atoms with Electrostatic Fields, Physical Review Letters, vol.91, issue.23, p.233201, 2003. ,
DOI : 10.1103/PhysRevLett.91.233201
Demonstration of neutral atom trapping with microwaves, Physical Review Letters, vol.72, issue.20, p.3162, 1994. ,
DOI : 10.1103/PhysRevLett.72.3162
The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate, Optics Communications, vol.127, issue.4-6, p.183, 1996. ,
DOI : 10.1016/0030-4018(96)00070-3
Generating Solitons by Phase Engineering of a Bose-Einstein Condensate, Science, vol.287, issue.5450, p.97, 2000. ,
DOI : 10.1126/science.287.5450.97
Laser beams with phase singularities, Optical and Quantum Electronics, vol.33, issue.9, p.951, 1992. ,
DOI : 10.1007/BF01588597
High-order Laguerre???Gaussian laser modes for studies of cold atoms, Optics Communications, vol.156, issue.4-6, p.300, 1998. ,
DOI : 10.1016/S0030-4018(98)00464-7
Optical tweezer arrays and optical substrates created with diffractive optics, Review of Scientific Instruments, vol.69, issue.5, p.1974, 1998. ,
DOI : 10.1063/1.1148883
Computer-generated holographic optical tweezer arrays, Review of Scientific Instruments, vol.72, issue.3, p.1810, 2001. ,
DOI : 10.1063/1.1344176
URL : http://arxiv.org/abs/cond-mat/0008414
Holographic generation of microtrap arrays for single atoms by use of a programmable phase modulator, Journal of the Optical Society of America B, vol.21, issue.11, p.1889, 2004. ,
DOI : 10.1364/JOSAB.21.001889
Motion of atoms in a radiation trap, Physical Review A, vol.21, issue.5, p.1606, 1980. ,
DOI : 10.1103/PhysRevA.21.1606
Magnetic Resonance for Nonrotating Fields, Physical Review, vol.57, issue.6, p.522, 1940. ,
DOI : 10.1103/PhysRev.57.522
Optical Dipole Traps for Neutral Atoms, Advances in atomic, molecular, and optical physics, 2000. ,
DOI : 10.1016/S1049-250X(08)60186-X
Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 1999. ,
DOI : 10.1017/CBO9781139644181
Defining, measuring, and optimizing laser beam quality, Proc. SPIE, pp.2-12, 1993. ,
Hypergeometric-Gaussian modes, Optics Letters, vol.32, issue.21, p.3053, 2007. ,
DOI : 10.1364/OL.32.003053
: Weakly interacting, dilute Bose gases in 2D, Reviews of Modern Physics, vol.78, issue.4, p.1111, 2006. ,
DOI : 10.1103/RevModPhys.78.1111
Two-dimensional Bose fluids: An atomic physics perspective, Nano optics and atomics: transport of light and matter waves, 2009. ,
Quelques propriétés typiques des corps solides, Ann. Inst. Henri Poincaré, vol.5, p.177, 1935. ,
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models, Physical Review Letters, vol.17, issue.26, p.1307, 1966. ,
DOI : 10.1103/PhysRevLett.17.1307
Existence of Long-Range Order in One and Two Dimensions, Physical Review, vol.158, issue.2, p.383, 1967. ,
DOI : 10.1103/PhysRev.158.383
Destruction of long-range order in one-dimensional and two-dimension system possessing a continuous symmetry group -ii. Quantum systems, Sov. Phys. JETP, vol.34, p.610, 1971. ,
Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics, vol.6, issue.7, p.1181, 1973. ,
DOI : 10.1088/0022-3719/6/7/010
films, Physical Review B, vol.22, issue.11, p.5171, 1980. ,
DOI : 10.1103/PhysRevB.22.5171
Vortex Dynamics and Phase Transitions in a Two-Dimensional Array of Josephson Junctions, Physical Review Letters, vol.56, issue.12, p.1291, 1986. ,
DOI : 10.1103/PhysRevLett.56.1291
Observation of Quasicondensate in Two-Dimensional Atomic Hydrogen, Physical Review Letters, vol.81, issue.21, p.4545, 1998. ,
DOI : 10.1103/PhysRevLett.81.4545
Vortex Proliferation in the Berezinskii-Kosterlitz-Thouless Regime on a Two-Dimensional Lattice of Bose-Einstein Condensates, Physical Review Letters, vol.99, issue.3, p.30401, 2007. ,
DOI : 10.1103/PhysRevLett.99.030401
Semiclassical theory of the quasi???two-dimensional trapped Bose gas, EPL (Europhysics Letters), vol.82, issue.3, p.30001, 2008. ,
DOI : 10.1209/0295-5075/82/30001
Bose-Einstein Condensation in Quasi-2D Trapped Gases, Bose-Einstein Condensation in Quasi-2D Trapped Gases, p.2551, 2000. ,
DOI : 10.1103/PhysRevLett.84.2551
URL : https://hal.archives-ouvertes.fr/hal-00001658
Interatomic collisions in a tightly confined Bose gas, Physical Review A, vol.64, issue.1, p.12706, 2001. ,
DOI : 10.1103/PhysRevA.64.012706
URL : https://hal.archives-ouvertes.fr/hal-00002133
Critical Point of a Weakly Interacting Two-Dimensional Bose Gas, Physical Review Letters, vol.87, issue.27, p.270402, 2001. ,
DOI : 10.1103/PhysRevLett.87.270402
Planck???s law and the light quantum hypothesis, Journal of Astrophysics and Astronomy, vol.15, issue.1, p.178, 1924. ,
DOI : 10.1007/BF03010400
Bose-Einstein Condensation and Liquid Helium, Physical Review, vol.104, issue.3, p.576, 1956. ,
DOI : 10.1103/PhysRev.104.576
Magnetization: A characteristic of the Kosterlitz-Thouless-Berezinskii transition, Physical Review B, vol.49, issue.13, p.8811, 1994. ,
DOI : 10.1103/PhysRevB.49.8811
The trapped twodimensional Bose gas: from Bose?Einstein condensation to Berezinskii?Kosterlitz?Thouless physics, New J. Phys, vol.10, p.4500, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00194992
Two-dimensional quantum gas in a hybrid surface trap, Physical Review A, vol.80, issue.2, p.21602, 2009. ,
DOI : 10.1103/PhysRevA.80.021602
Low-dimensional trapped gases, Journal de Physique IV (Proceedings), vol.116, issue.3, 2004. ,
DOI : 10.1051/jp4:2004116001
URL : https://hal.archives-ouvertes.fr/hal-00003349
On the mean-field formula of the Kosterlitz-Thouless-Berezinskii transition temperature of a trapped two dimensional Bose gas ,
Superfluid transition of homogeneous and trapped two-dimensional Bose gases, Proceedings of the National Academy of Sciences, vol.104, issue.5, p.1476, 2007. ,
DOI : 10.1073/pnas.0609957104
The effect of interactions on Bose-Einstein condensation in a quasi two-dimensional harmonic trap, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.33, issue.19, p.3895, 2000. ,
DOI : 10.1088/0953-4075/33/19/304
Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas, Physical Review A, vol.79, issue.1, p.13602, 2009. ,
DOI : 10.1103/PhysRevA.79.013602
Universal correlations and coherence in quasi-two-dimensional trapped Bose gases, arXiv 0911, p.1704, 2009. ,
Dilute Bose gas in two dimensions: Density expansions and the Gross-Pitaevskii equation, Physical Review E, vol.64, issue.2, p.27105, 2001. ,
DOI : 10.1103/PhysRevE.64.027105
Variational approach for the two-dimensional trapped Bose-Einstein condensate, Physical Review A, vol.70, issue.1, p.13601, 2004. ,
DOI : 10.1103/PhysRevA.70.013601
URL : https://hal.archives-ouvertes.fr/hal-00000582
Ground State Energy of the Two-Dimensional Weakly Interacting Bose Gas: First Correction Beyond Bogoliubov Theory, Physical Review Letters, vol.102, issue.18, p.180404, 2009. ,
DOI : 10.1103/PhysRevLett.102.180404
URL : https://hal.archives-ouvertes.fr/hal-00384876
Quantum Monte Carlo simulation of a two-dimensional Bose gas, Physical Review A, vol.71, issue.2, p.23605, 2005. ,
DOI : 10.1103/PhysRevA.71.023605
Equation of state of a weakly interacting two-dimensional Bose gas studied at zero temperature by means of quantum Monte Carlo methods, Physical Review A, vol.79, issue.5, p.51602, 2009. ,
DOI : 10.1103/PhysRevA.79.051602
Density Fluctuations at Low Temperatures, Physical Review, vol.94, issue.2, p.257, 1954. ,
DOI : 10.1103/PhysRev.94.257
Anomalous Fluctuations of the Condensate in Interacting Bose Gases, Anomalous Fluctuations of the Condensate in Interacting Bose Gases, p.5040, 1998. ,
DOI : 10.1103/PhysRevLett.80.5040
Fluctuations of the number of particles within a given volume in cold quantum gases, Physical Review A, vol.76, issue.6, p.63616, 2007. ,
DOI : 10.1103/PhysRevA.76.063616
A relation between cumulants of a thermodynamic variable and the state equation, Zeitschrift f???r Physik B Condensed Matter, vol.17, issue.1, p.61, 1983. ,
DOI : 10.1007/BF01304045
Evolution of a Bose gas in anisotropic time-dependent traps, Physical Review A, vol.55, issue.1, p.18, 1997. ,
DOI : 10.1103/PhysRevA.55.R18
Breathing modes and hidden symmetry of trapped atoms in two dimensions, Physical Review A, vol.55, issue.2, p.853, 1997. ,
DOI : 10.1103/PhysRevA.55.R853
Effects of Zeeman degeneracy on the steady-state properties of an atom interacting with a near-resonant laser field: Analytic results, Physical Review A, vol.48, issue.3, p.2443, 1993. ,
DOI : 10.1103/PhysRevA.48.2443
Analysis of in situ images of Bose-Einstein condensates of lithium, Physical Review A, vol.55, issue.5, p.3951, 1997. ,
DOI : 10.1103/PhysRevA.55.3951
Three-body decay of a rubidium Bose???Einstein condensate, Applied Physics B, vol.69, issue.4, p.257, 1999. ,
DOI : 10.1007/s003400050805
Observation of Reduced Three-Body Recombination in a Correlated 1D Degenerate Bose Gas, Physical Review Letters, vol.92, issue.19, 2004. ,
DOI : 10.1103/PhysRevLett.92.190401
Refractive index of a dilute Bose gas, Physical Review A, vol.51, issue.5, p.3896, 1995. ,
DOI : 10.1103/PhysRevA.51.3896
Etude théorique d'un gaz de Bose ultra-froid : 1. Diffusion et localisation de la lumière 2, 2000. ,
Bose-stimulated scattering off a cold atom trap, Physical Review A, vol.55, issue.2, p.1140, 1997. ,
DOI : 10.1103/PhysRevA.55.1140
Strong saturation absorption imaging of dense clouds of ultracold atoms, Optics Letters, vol.32, issue.21, p.3143, 2007. ,
DOI : 10.1364/OL.32.003143
Zernike polynomials and atmospheric turbulence*, Journal of the Optical Society of America, vol.66, issue.3, p.207, 1976. ,
DOI : 10.1364/JOSA.66.000207
Observation of Interference Between Two Bose Condensates, Science, vol.275, issue.5300, p.637, 1997. ,
DOI : 10.1126/science.275.5300.637
Interference between independent fluctuating condensates, Proceedings of the National Academy of Sciences, vol.103, issue.16, p.6125, 2006. ,
DOI : 10.1073/pnas.0510276103
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1458842
Full quantum distribution of contrast in interference experiments between interacting one-dimensional Bose liquids, Nature Physics, vol.318, issue.10, p.705, 2006. ,
DOI : 10.1016/S0370-1573(99)00062-9
Interference contrasts between two quasi-twodimensional Bose gases ,
Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers, Physical Review Letters, vol.98, issue.20, p.200404, 2007. ,
DOI : 10.1103/PhysRevLett.98.200404
On the determination of Born???Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei, The Journal of Chemical Physics, vol.70, issue.5, p.2284, 1979. ,
DOI : 10.1063/1.437734
Geometric Phases in Physics, chap. The quantum phase, five years after, World Scientific, pp.7-28, 1989. ,
Geometric Phase in Physics, chap. Adiabatic Effective Lagrangians, World Scientific, pp.160-183, 1989. ,
The Geometric Phase in Quantum Systems, 2003. ,
DOI : 10.1007/978-3-662-10333-3
Quantal Phase Factors Accompanying Adiabatic Changes, Proc. R. Soc. Lond, p.45, 1984. ,
DOI : 10.1098/rspa.1984.0023
Light-induced effective magnetic fields for ultracold atoms in planar geometries, Physical Review A, vol.73, issue.2, p.25602, 2006. ,
DOI : 10.1103/PhysRevA.73.025602
Geometric potentials in quantum optics: A semi-classical interpretation, EPL (Europhysics Letters), vol.83, issue.6, p.60001, 2008. ,
DOI : 10.1209/0295-5075/83/60001
URL : https://hal.archives-ouvertes.fr/hal-00306182
Practical scheme for a light-induced gauge field in an atomic Bose gas, Physical Review A, vol.79, issue.1, p.11604, 2009. ,
DOI : 10.1103/PhysRevA.79.011604
Bose-Einstein Condensate in a Uniform Light-Induced Vector Potential, Bose-Einstein Condensate in a Uniform Light-Induced Vector Potential, p.130401, 2009. ,
DOI : 10.1103/PhysRevLett.102.130401
Synthetic magnetic fields for ultracold neutral atoms, Nature, vol.57, issue.7273, p.628, 2009. ,
DOI : 10.1038/nature08609