K. B. Davis, M. 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

A. Einstein, Quantentheorie des einatomigen idealen Gases. Sitzungsberichte/Physikalische Klasse, Preussische Akademie der Wissenschaften, vol.22, p.261, 1924.
DOI : 10.1002/3527608958.ch27

S. N. Bose, Plancks Gesetz und Lichtquantenhypothese, Zeitschrift f???r Physik, vol.26, issue.1, p.178, 1924.
DOI : 10.1007/BF01327326

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

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

L. P. Pitaevskii, Vortex lines in an imperfect Bose gas, Sov. Phys. JETP, vol.13, p.451, 1961.

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

I. Bloch, T. W. Hänsch, and T. Esslinger, Measurement of the spatial coherence of a trapped Bose gas at the phase transition, Nature, vol.403, p.166, 2000.

B. P. Anderson and M. A. Kasevich, Macroscopic Quantum Interference from Atomic Tunnel Arrays, Science, vol.282, issue.5394, p.1686, 1998.
DOI : 10.1126/science.282.5394.1686

E. W. Hagley, L. Deng, M. Kozuma, J. Wen, K. Helmerson et al., A Well-Collimated Quasi-Continuous Atom Laser, Science, vol.283, issue.5408, p.1706, 1999.
DOI : 10.1126/science.283.5408.1706

I. Bloch, T. W. Hänsch, and T. Esslinger, Atom Laser with a cw Output Coupler, Physical Review Letters, vol.82, issue.15, p.3008, 1999.
DOI : 10.1103/PhysRevLett.82.3008
URL : http://arxiv.org/abs/cond-mat/9812258

M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman et al., Vortices in a Bose-Einstein Condensate, Physical Review Letters, vol.83, issue.13, p.2498, 1999.
DOI : 10.1103/PhysRevLett.83.2498

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.806, 2000.
DOI : 10.1103/PhysRevLett.84.806

J. R. Abo-shaeer, C. Raman, J. M. Vogels, and W. Ketterle, Observation of Vortex Lattices in Bose-Einstein Condensates, Science, vol.292, issue.5516, pp.476-479, 2001.
DOI : 10.1126/science.1060182

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

A. Truscott, K. Strecker, W. Mcalexander, G. 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

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

I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Reviews of Modern Physics, vol.80, issue.3, p.885, 2008.
DOI : 10.1103/RevModPhys.80.885
URL : https://hal.archives-ouvertes.fr/hal-00195515

P. Courteille, R. Freeland, D. Heinzen, F. Van-abeelen, and B. Verhaar, 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

S. Inouye, M. Andrews, J. Stenger, H. J. Miesner, D. M. Stamper-kurn et al., Observation of Feshbach resonances in a Bose???Einstein condensate, Nature, vol.77, issue.6672, p.151, 1998.
DOI : 10.1038/32354

J. Cubizolles, T. Bourdel, S. J. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Molecules from a Fermi Gas, Physical Review Letters, vol.91, issue.24, p.240401, 2003.
DOI : 10.1103/PhysRevLett.91.240401

S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl et al., Bose-Einstein Condensation of Molecules, Bose?Einstein Condensation of molecules, p.2101, 2003.
DOI : 10.1126/science.1093280

M. Greiner, C. A. Regal, and D. S. Jin, Emergence of a molecular Bose???Einstein condensate from a Fermi gas, Nature, vol.426, issue.6966, p.537, 2003.
DOI : 10.1038/nature02199

M. W. Zwierlein, C. A. Stan, C. H. Schunk, S. M. Raupach, S. Gupta et al., Observation of Bose-Einstein Condensation of Molecules, Physical Review Letters, vol.91, issue.25, p.250401, 2003.
DOI : 10.1103/PhysRevLett.91.250401

T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy et al., Experimental Study of the BEC-BCS Crossover Region in Lithium 6, Physical Review Letters, vol.93, issue.5, p.50401, 2004.
DOI : 10.1103/PhysRevLett.93.050401
URL : https://hal.archives-ouvertes.fr/hal-00001237

M. Bartenstein, A. Altmeyer, S. Riedl, S. Joachim, C. Chin et al., Crossover from a Molecular Bose-Einstein Condensate to a Degenerate Fermi Gas, Physical Review Letters, vol.92, issue.12, p.120401, 2004.
DOI : 10.1103/PhysRevLett.92.120401

C. A. Regal, M. Greiner, and D. S. Jin, Observation of Resonance Condensation of Fermionic Atom Pairs, Physical Review Letters, vol.92, issue.4, p.40403, 2004.
DOI : 10.1103/PhysRevLett.92.040403

M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. Raupach, A. J. Kerman et al., Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance, Physical Review Letters, vol.92, issue.12, p.120403, 2004.
DOI : 10.1103/PhysRevLett.92.120403

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Bose-Einstein Condensates with Widely Tunable Interactions, Physical Review Letters, vol.85, issue.9, p.1795, 2000.
DOI : 10.1103/PhysRevLett.85.1795
URL : http://arxiv.org/abs/cond-mat/0004290

K. M. O-'hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Observation of a Strongly Interacting Degenerate Fermi Gas of Atoms, Science, vol.298, issue.5601, p.2179, 2002.
DOI : 10.1126/science.1079107

T. Bourdel, J. Cubizolles, L. Khaykovich, K. Magalhaes, S. Kokkelmans et al., Fermi Gas, Physical Review Letters, vol.91, issue.2, p.20402, 2003.
DOI : 10.1103/PhysRevLett.91.020402
URL : https://hal.archives-ouvertes.fr/hal-00001552

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

M. J. Ku, A. T. Sommer, L. W. Cheuk, and M. W. Zwierlein, Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas, Science, vol.335, issue.6068, pp.563-567, 2012.
DOI : 10.1126/science.1214987

B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling et al., Tonks???Girardeau gas of ultracold atoms in an optical lattice, Nature, vol.42, issue.6989, pp.277-281, 2004.
DOI : 10.1103/PhysRevLett.90.150402
URL : https://hal.archives-ouvertes.fr/hal-00002239

T. Kinoshita, T. Wenger, and D. S. Weiss, Observation of a One-Dimensional Tonks-Girardeau Gas, Science, vol.305, issue.5687, pp.1125-1128, 2004.
DOI : 10.1126/science.1100700

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, Berezinskii???Kosterlitz???Thouless crossover in a trapped atomic gas, Nature, vol.39, issue.7097, pp.1118-1121, 2006.
DOI : 10.1038/nature04851
URL : https://hal.archives-ouvertes.fr/hal-00067716

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

M. Greiner, M. O. Mandel, T. Esslinger, T. Hänsch, and I. Bloch, 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

T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Transition from a Strongly Interacting 1D Superfluid to a Mott Insulator, Physical Review Letters, vol.92, issue.13, p.130403, 2004.
DOI : 10.1103/PhysRevLett.92.130403

I. B. Spielman, W. D. Phillips, and J. V. Porto, 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

M. Köhl, H. Moritz, T. Stöferle, C. Schori, and T. Esslinger, 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

R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, A Mott insulator of fermionic atoms in an optical lattice, Nature, vol.90, issue.7210, pp.204-207, 2008.
DOI : 10.1038/nature07244

R. P. Feynman, Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, pp.467-488, 1982.
DOI : 10.1007/BF02650179
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.9310

N. R. Cooper, Rapidly rotating atomic gases Advances in, Physics, vol.57, pp.539-616, 2008.

V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Fast Rotation of a Bose-Einstein Condensate, Physical Review Letters, vol.92, issue.5, p.50403, 2004.
DOI : 10.1103/PhysRevLett.92.050403

V. Schweikhard, I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, 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

M. V. Berry, Quantal Phase Factors Accompanying Adiabatic Changes, Proc. Roy. Soc. London A 392, pp.45-57, 1984.
DOI : 10.1098/rspa.1984.0023

G. Juzeli, ¯. Unas, J. Ruseckas, P. Öhberg, and M. Fleischhauer, Light-induced effective magnetic fields for ultracold atoms in planar geometries, Phys. Rev. A, vol.73, p.25602, 2006.

K. J. Günter, M. Cheneau, T. Yefsah, S. P. Rath, and J. Dalibard, 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

Y. Lin, R. L. Compton, K. Jiménez-garcía, J. V. Porto, and I. B. Spielman, Synthetic magnetic fields for ultracold neutral atoms, Nature, vol.57, issue.7273, pp.628-632, 2009.
DOI : 10.1038/nature08609

J. Dalibard, F. Gerbier, G. Juzeli, ¯. , and P. Öhberg, : Artificial gauge potentials for neutral atoms, Reviews of Modern Physics, vol.83, issue.4, pp.1523-1543, 2011.
DOI : 10.1103/RevModPhys.83.1523

N. R. Cooper, Optical Flux Lattices for Ultracold Atomic Gases, Physical Review Letters, vol.106, issue.17, p.175301, 2011.
DOI : 10.1103/PhysRevLett.106.175301
URL : http://arxiv.org/abs/1101.2382

R. E. Peierls, Quelques propriétés typiques des corps solides, Ann. Inst. Henri Poincaré, vol.5, p.177, 1935.

N. D. Mermin and H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models, Physical Review Letters, vol.17, issue.22, p.1133, 1966.
DOI : 10.1103/PhysRevLett.17.1133

P. C. Hohenberg, 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

S. T. Bramwell and P. C. Holdsworth, Magnetization: A characteristic of the Kosterlitz-Thouless-Berezinskii transition, Physical Review B, vol.49, issue.13, pp.8811-8814, 1994.
DOI : 10.1103/PhysRevB.49.8811

V. L. Berezinskii, Destruction of long-range order in one-dimensional and twodimensional system possessing a continuous symmetry group -II. quantum systems, Soviet Physics JETP, vol.34, p.610, 1971.

J. M. Kosterlitz and D. J. Thouless, 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

D. J. Bishop and J. D. Reppy, films, Physical Review B, vol.22, issue.11, pp.5171-5185, 1980.
DOI : 10.1103/PhysRevB.22.5171

P. Cladé, C. Ryu, A. Ramanathan, K. Helmerson, and W. D. Phillips, 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

S. Tung, G. Lamporesi, D. Lobser, L. Xia, and E. A. Cornell, Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas, Physical Review Letters, vol.105, issue.23, p.230408, 2010.
DOI : 10.1103/PhysRevLett.105.230408

C. Hung, X. Zhang, N. Gemelke, and C. Chin, Observation of scale invariance and universality in two-dimensional Bose gases, Nature, vol.32, issue.7333, p.236, 2011.
DOI : 10.1038/nature09722

M. Cheneau, Transition superfluide et potentiels géométriques dans le gaz de Bose bidimensionnel, 2009.

S. P. Rath, Production and investigation of quasi-two-dimensional Bose gases, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00469991

T. Yefsah, Thermodynamique du gaz de Bose à deux dimensions, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00737502

T. Yefsah, R. Desbuquois, L. Chomaz, K. J. Günter, and J. Dalibard, Exploring the Thermodynamics of a Two-Dimensional Bose Gas, Physical Review Letters, vol.107, issue.13, p.130401, 2011.
DOI : 10.1103/PhysRevLett.107.130401

R. Desbuquois, L. Chomaz, T. Yefsah, J. Léonard, J. Beugnon et al., Superfluid behaviour of a two-dimensional Bose gas, Nature Physics, vol.62, issue.9, pp.645-648, 2012.
DOI : 10.1103/PhysRevLett.106.130401

A. Imambekov, I. E. Mazets, D. S. Petrov, V. Gritsev, S. Manz et al., Density ripples in expanding low-dimensional gases as a probe of correlations, Physical Review A, vol.80, issue.3, p.33604, 2009.
DOI : 10.1103/PhysRevA.80.033604
URL : https://hal.archives-ouvertes.fr/hal-00423924

W. S. Bakr, J. Gillen, A. Peng, S. Fölling, and M. Greiner, A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice, Nature, vol.79, issue.7269, pp.74-77, 2009.
DOI : 10.1038/nature08482

J. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch et al., Single-atom-resolved fluorescence imaging of an atomic Mott insulator, Nature, vol.78, issue.7311, pp.68-72, 2010.
DOI : 10.1038/nature09378
URL : https://hal.archives-ouvertes.fr/hal-01397842

Z. Hadzibabic and J. Dalibard, Two-dimensional Bose fluids: An atomic physics perspective, Nano optics and atomics: transport of light and matter waves, volume CLXXIII of Proceedings of the International School of Physics Enrico Fermi, 2009.

S. K. Adhikari, Quantum scattering in two dimensions, American Journal of Physics, vol.54, issue.4, pp.362-367, 1986.
DOI : 10.1119/1.14623

D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Bose-Einstein Condensation in Quasi-2D Trapped Gases, Physical Review Letters, vol.84, issue.12, p.2551, 2000.
DOI : 10.1103/PhysRevLett.84.2551
URL : https://hal.archives-ouvertes.fr/hal-00001658

D. S. Petrov and G. V. Shlyapnikov, 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

N. V. Prokof-'ev, O. Ruebenacker, and B. V. Svistunov, 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

N. V. Prokof-'ev and B. V. Svistunov, Two-dimensional weakly interacting Bose gas in the fluctuation region, Phys. Rev. A, vol.66, p.43608, 2002.

O. Penrose and L. Onsager, Bose-Einstein Condensation and Liquid Helium, Physical Review, vol.104, issue.3, p.576, 1956.
DOI : 10.1103/PhysRev.104.576

A. Messiah, Quantum Mechanics, volume II, 1961.

C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Reviews of Modern Physics, vol.82, issue.2, pp.1225-1286, 2010.
DOI : 10.1103/RevModPhys.82.1225

J. Choi, S. W. Seo, W. J. Kwon, and Y. Shin, Probing Phase Fluctuations in a 2D Degenerate Bose Gas by Free Expansion, Physical Review Letters, vol.109, issue.12, p.125301, 2012.
DOI : 10.1103/PhysRevLett.109.125301

S. P. Rath, T. Yefsah, K. J. Günter, M. Cheneau, R. Desbuquois et al., Equilibrium state of a trapped two-dimensional Bose gas, Physical Review A, vol.82, issue.1, p.13609, 2010.
DOI : 10.1103/PhysRevA.82.013609
URL : https://hal.archives-ouvertes.fr/hal-01397845

L. Ha, C. Hung, X. Zhang, U. Eismann, S. Tung et al., Strongly interacting two-dimensional Bose gases. arXiv:cond-mat, p.34569, 1211.
DOI : 10.1103/physrevlett.110.145302
URL : http://arxiv.org/abs/1211.3456

D. J. Bishop and J. D. Reppy, Films, Physical Review Letters, vol.40, issue.26, pp.1727-1730, 1978.
DOI : 10.1103/PhysRevLett.40.1727

L. Pitaevskii and S. Stringari, Bose?Einstein condensation, 2003.

C. Pethick and H. Smith, Bose?Einstein condensation in dilute gases, 2002.

M. Holzmann, M. Chevallier, and W. Krauth, 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

M. Holzmann, M. Chevallier, and W. Krauth, Universal correlations and coherence in quasi-two-dimensional trapped Bose gases, Physical Review A, vol.81, issue.4, p.43622, 2010.
DOI : 10.1103/PhysRevA.81.043622

A. Keshet and W. Ketterle, A distributed, graphical user interface based, computer control system for atomic physics experiments, Review of Scientific Instruments, vol.84, issue.1, p.15105, 2013.
DOI : 10.1063/1.4773536

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, Physical Review A, vol.52, issue.2, p.1423, 1995.
DOI : 10.1103/PhysRevA.52.1423

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

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

R. Dubessy, K. Merloti, L. Longchambon, P. Pottie, T. Liennard et al., Rb Bose-Einstein condensate in an optically plugged quadrupole trap, Phys. Rev. A, vol.87, issue.85, p.13643, 2012.

E. Akkermans and G. Montambaux, Mesoscopic physics of eletrons and photons, 2007.

L. Chomaz, L. Corman, T. Yefsah, R. Desbuquois, and J. Dalibard, Absorption imaging of a quasi-two-dimensional gas: a multiple scattering analysis, New Journal of Physics, vol.14, issue.5, p.55001, 2012.
DOI : 10.1088/1367-2630/14/5/055001

G. Reinaudi, T. Lahaye, Z. Wang, and D. Guéry-odelin, 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

S. R. Segal, Q. Diot, E. A. Cornell, A. A. Zozulya, and D. Z. Anderson, Revealing buried information: Statistical processing techniques for ultracold-gas image analysis, Physical Review A, vol.81, issue.5, p.53601, 2010.
DOI : 10.1103/PhysRevA.81.053601

T. Ho and Q. Zhou, Obtaining the phase diagram and thermodynamic quantities of bulk systems from the densities of trapped gases, Nature Physics, vol.101, issue.2, p.131, 2009.
DOI : 10.1038/nphys1477

Z. Hadzibabic, P. Krüger, M. Cheneau, S. P. Rath, and J. Dalibard, The trapped two-dimensional Bose gas: from Bose???Einstein condensation to Berezinskii???Kosterlitz???Thouless physics, New Journal of Physics, vol.10, issue.4, p.45006, 2008.
DOI : 10.1088/1367-2630/10/4/045006
URL : https://hal.archives-ouvertes.fr/hal-00194992

R. N. Bisset, D. Baillie, and P. B. Blakie, 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

M. Holzmann and W. Krauth, 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

D. R. Nelson and J. M. Kosterlitz, Universal Jump in the Superfluid Density of Two-Dimensional Superfluids, Physical Review Letters, vol.39, issue.19, p.1201, 1977.
DOI : 10.1103/PhysRevLett.39.1201

I. Shvarchuck, C. Buggle, D. S. Petrov, K. Dieckmann, M. Zielonkowski et al., Bose-Einstein Condensation into Nonequilibrium States Studied by Condensate Focusing, Bose?Einstein condensation into nonequilibrium states studied by condensate focusing, p.270404, 2002.
DOI : 10.1103/PhysRevLett.89.270404
URL : http://arxiv.org/abs/cond-mat/0207599

W. Ketterle and H. Miesner, Coherence properties of Bose-Einstein condensates and atom lasers, Physical Review A, vol.56, issue.4, p.3291, 1996.
DOI : 10.1103/PhysRevA.56.3291

]. B. Fröhlich, M. Feld, E. Vogt, M. Koschorreck, W. Zwerger et al., Radio-Frequency Spectroscopy of a Strongly Interacting Two-Dimensional Fermi Gas, Physical Review Letters, vol.106, issue.10, p.105301, 2011.
DOI : 10.1103/PhysRevLett.106.105301

C. Raman, M. Köhl, R. Onofrio, D. S. Durfee, C. E. Kuklewicz et al., Evidence for a Critical Velocity in a Bose-Einstein Condensed Gas, Physical Review Letters, vol.83, issue.13, p.2502, 1999.
DOI : 10.1103/PhysRevLett.83.2502

D. E. Miller, J. K. Chin, C. A. Stan, Y. Liu, W. Setiawan et al., Critical Velocity for Superfluid Flow across the BEC-BCS Crossover, Physical Review Letters, vol.99, issue.7, p.70402, 2007.
DOI : 10.1103/PhysRevLett.99.070402

J. S. Langer and M. E. Fisher, Intrinsic Critical Velocity of a Superfluid, Physical Review Letters, vol.19, issue.10, pp.560-563, 1967.
DOI : 10.1103/PhysRevLett.19.560

M. Cross, Statistical physics, third term. Lecture at the California Institute of, Technology, 2005.

C. Ryu, M. F. Andersen, P. Cladé, V. Natarajan, K. Helmerson et al., Observation of Persistent Flow of a Bose-Einstein Condensate in a Toroidal Trap, Physical Review Letters, vol.99, issue.26, p.260401, 2007.
DOI : 10.1103/PhysRevLett.99.260401

A. Ramanathan, K. C. Wright, S. R. Muniz, M. Zelan, W. T. Hill et al., Superflow in a Toroidal Bose-Einstein Condensate: An Atom Circuit with a Tunable Weak Link, Physical Review Letters, vol.106, issue.13, p.130401, 2011.
DOI : 10.1103/PhysRevLett.106.130401

S. Moulder, S. Beattie, R. P. Smith, Z. Tammuz, and . Hadzibabic, Quantised superflow glitches in an annular Bose?Einstein condensate. arXiv:cond- mat/1112, p.334, 2012.

A. Amo, J. Lefrere, S. Pigeon, C. Adrados, C. Ciuti et al., Superfluidity of polaritons in semiconductor microcavities, Nature Physics, vol.58, issue.11, p.805, 2009.
DOI : 10.1038/nphys1364

A. J. Leggett, Quantum Liquids, 2006.

R. Onofrio, C. Raman, J. M. Vogels, J. R. Abo-shaeer, A. P. Chikkatur et al., Observation of Superfluid Flow in a Bose-Einstein Condensed Gas, Physical Review Letters, vol.85, issue.11, pp.2228-2231, 2000.
DOI : 10.1103/PhysRevLett.85.2228

C. Raman, R. Onofrio, J. Vogels, J. Abo-shaeer, and W. Ketterle, Dissipationless Flow and Superfluidity in Gaseous Bose-Einstein Condensates, Journal of Low Temperature Physics, vol.122, issue.1/2, pp.99-116, 2001.
DOI : 10.1023/A:1004864820016

P. Engels and C. Atherton, Stationary and Nonstationary Fluid Flow of a Bose-Einstein Condensate Through a Penetrable Barrier, Physical Review Letters, vol.99, issue.16, p.160405, 2007.
DOI : 10.1103/PhysRevLett.99.160405

T. W. Neely, E. C. Samson, A. S. Bradley, M. J. Davis, and B. P. Anderson, Observation of Vortex Dipoles in an Oblate Bose-Einstein Condensate, Physical Review Letters, vol.104, issue.16, p.160401, 2010.
DOI : 10.1103/PhysRevLett.104.160401

G. E. Astrakharchik and L. P. Pitaevskii, Motion of a heavy impurity through a Bose-Einstein condensate, Physical Review A, vol.70, issue.1, p.13608, 2004.
DOI : 10.1103/PhysRevA.70.013608

A. D. Chepelianskii, F. Chevy, and E. , Capillary-Gravity Waves Generated by a Slow Moving Object, Physical Review Letters, vol.100, issue.7, p.74504, 2008.
DOI : 10.1103/PhysRevLett.100.074504
URL : https://hal.archives-ouvertes.fr/hal-00144120

T. Frisch, Y. Pomeau, and S. Rica, Transition to dissipation in a model of superflow, Physical Review Letters, vol.69, issue.11, p.1644, 1992.
DOI : 10.1103/PhysRevLett.69.1644

T. Winiecki, J. F. Mccann, and C. S. Adams, Pressure Drag in Linear and Nonlinear Quantum Fluids, Physical Review Letters, vol.82, issue.26, p.5186, 1999.
DOI : 10.1103/PhysRevLett.82.5186

J. S. Stiessberger and W. Zwerger, Critcal velocity of superfluid flow past large obstacles in Bose-Einstein condensates, Physical Review A, vol.62, issue.6, p.61601, 2000.
DOI : 10.1103/PhysRevA.62.061601

M. Crescimanno, C. G. Koay, R. Peterson, and R. Walsworth, Analytical estimate of the critical velocity for vortex pair creation in trapped Bose condensates, Physical Review A, vol.62, issue.6, p.63612, 2000.
DOI : 10.1103/PhysRevA.62.063612

F. Dalfovo, S. Giorgini, M. Guilleumas, L. Pitaevskii, and S. Stringari, Collective and single-particle excitations of a trapped Bose gas, Physical Review A, vol.56, issue.5, pp.3840-3845, 1997.
DOI : 10.1103/PhysRevA.56.3840

P. O. Fedichev and G. V. Shlyapnikov, Critical velocity in cylindrical Bose-Einstein condensates, Physical Review A, vol.63, issue.4, p.45601, 2001.
DOI : 10.1103/PhysRevA.63.045601

V. Schweikhard, S. Tung, and E. A. Cornell, 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

]. S. Dettmer, D. Hellweg, P. Ryyty, J. J. Arlt, W. Ertmer et al., Observation of Phase Fluctuations in Elongated Bose-Einstein Condensates, Physical Review Letters, vol.87, issue.16, p.160406, 2001.
DOI : 10.1103/PhysRevLett.87.160406

L. Giorgetti, I. Carusotto, and Y. Castin, Semiclassical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions, Physical Review A, vol.76, issue.1, p.13613, 2007.
DOI : 10.1103/PhysRevA.76.013613
URL : https://hal.archives-ouvertes.fr/hal-00145190

C. J. Foster, P. B. Blakie, and M. J. Davis, Vortex pairing in two-dimensional Bose gases, Physical Review A, vol.81, issue.2, p.23623, 2010.
DOI : 10.1103/PhysRevA.81.023623

J. Choi, S. W. Seo, and Y. Shin, Observation of thermally activated vortex pairs in a quasi-2D Bose gas. arXiv:cond-mat, pp.5649-5651, 1211.

A. L. Fetter, Rotating trapped Bose-Einstein condensates, Reviews of Modern Physics, vol.81, issue.2, pp.647-691, 2009.
DOI : 10.1103/RevModPhys.81.647

K. D. Nelson, X. Li, and D. S. 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

M. Karski, L. Förster, J. M. Choi, W. Alt, A. Widera et al., Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging, Physical Review Letters, vol.102, issue.5, p.53001, 2009.
DOI : 10.1103/PhysRevLett.102.053001

W. S. Bakr, A. Peng, M. E. Tai, R. Ma, J. Simon et al., Probing the Superfluid-to-Mott Insulator Transition at the Single-Atom Level, Science, vol.329, issue.5991, pp.547-550, 2010.
DOI : 10.1126/science.1192368

C. Weitenberg, M. Endres, J. F. Sherson, M. Cheneau, P. Schauß et al., Single-spin addressing in an atomic Mott insulator, Nature, vol.153, issue.7338, pp.319-324, 2011.
DOI : 10.1038/nature09827
URL : https://hal.archives-ouvertes.fr/hal-01397838

T. W. Hodapp, C. Genl, C. Furtlehner, C. Westbrook, W. Phillips et al., Three-dimensional spatial diffusion in optical molasses, Applied Physics B Laser and Optics, vol.124, issue.2-3, pp.135-143, 1995.
DOI : 10.1007/BF01135855

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, pp.683-688, 1990.
DOI : 10.1209/0295-5075/12/8/003

J. Dalibard and C. Cohen-tannoudji, 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. 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

G. Grynberg and J. Courtois, Proposal for a Magneto-Optical Lattice for Trapping Atoms in Nearly-Dark States, Europhysics Letters (EPL), vol.27, issue.1, p.41, 1994.
DOI : 10.1209/0295-5075/27/1/008

D. Boiron, C. Triché, 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, pp.3425-3428, 1995.
DOI : 10.1103/PhysRevA.52.R3425

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

D. A. Steck, Rubidium 87 D Line Data, 2010.

C. Weitenberg, Single-atom resolved imaging and manipulyion in an atomic Mott insulator, 2011.

W. Petrich, M. H. Anderson, J. R. Ensher, and E. A. Cornell, Behavior of atoms in a compressed magneto-optical trap, Journal of the Optical Society of America B, vol.11, issue.8, p.1332, 1994.
DOI : 10.1364/JOSAB.11.001332

Y. B. Ovchinnikov, J. H. Müller, 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, p.284, 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, pp.19173-19180, 2009.
DOI : 10.1364/OE.17.019173

N. Read and N. R. Cooper, Free expansion of lowest-Landau-level states of trapped atoms: A wave-function microscope, Physical Review A, vol.68, issue.3, p.35601, 2003.
DOI : 10.1103/PhysRevA.68.035601

N. Cooper and J. Dalibard, Reaching fractional quantum Hall states with optical flux lattices. arXiv:cond-mat/1212, pp.3552-3553, 2012.