2. On-adopte-la-notation, pour les états atomiques ? valable dans le régime de Russel-Saunders ? où S désigne le moment cinétique de spin total, L le moment cinétique orbital total

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, vol.269, issue.5221, pp.198-201, 1995.
DOI : 10.1126/science.269.5221.198

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, pp.3969-3973, 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, pp.1687-1690, 1995.
DOI : 10.1103/PhysRevLett.75.1687

I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Reviews of Modern Physics, vol.80, issue.3, pp.885-964, 2008.
DOI : 10.1103/RevModPhys.80.885

URL : https://hal.archives-ouvertes.fr/hal-00195515

S. Inouye, M. R. Andrews, J. Stenger, H. Miesner, D. M. Stamper-kurn et al., Observation of Feshbach resonances in a Bose???Einstein condensate, Nature, vol.77, issue.6672, pp.151-154, 1998.
DOI : 10.1038/32354

J. Stuhler, A. Griesmaier, T. Koch, M. Fattori, T. Pfau et al., Observation of Dipole-Dipole Interaction in a Degenerate Quantum Gas, Physical Review Letters, vol.95, issue.15, p.150406, 2005.
DOI : 10.1103/PhysRevLett.95.150406

URL : https://hal.archives-ouvertes.fr/hal-00012490

K. Aikawa, S. Baier, A. Frisch, M. Mark, C. Ravensbergen et al., Observation of Fermi surface deformation in a dipolar quantum gas, Science, vol.67, issue.25, pp.1484-1487, 2014.
DOI : 10.1103/PhysRevLett.89.250402

T. Maier, H. Kadau, M. Schmitt, A. Griesmaier, and T. Pfau, Narrow-line magneto-optical trap for dysprosium atoms, Optics Letters, vol.39, issue.11, pp.3138-3141, 2014.
DOI : 10.1364/OL.39.003138

URL : http://arxiv.org/abs/1403.1499

K. Ni, S. Ospelkaus, M. H. Miranda, A. Pe-'er, B. Neyenhuis et al., A High Phase-Space-Density Gas of Polar Molecules, Science, vol.464, issue.13, pp.231-235, 2008.
DOI : 10.1103/PhysRevLett.100.133202

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.637-641, 1997.
DOI : 10.1126/science.275.5300.637

URL : http://amo.mit.edu/~bec/publish/papers/fringes.ps

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, pp.2498-2501, 1999.
DOI : 10.1103/PhysRevLett.83.2498

URL : http://arxiv.org/abs/cond-mat/9908209

O. M. Maragò, S. A. Hopkins, J. Arlt, E. Hodby, G. Hechenblaikner et al., Observation of the Scissors Mode and Evidence for Superfluidity of a Trapped Bose-Einstein Condensed Gas, Physical Review Letters, vol.84, issue.10, pp.2056-2059, 2000.
DOI : 10.1103/PhysRevLett.84.2056

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

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, pp.806-809, 2000.
DOI : 10.1103/PhysRevLett.84.806

URL : http://arxiv.org/abs/cond-mat/9912015

N. Poli, C. W. Oates, P. Gill, and G. M. Tino, Optical atomic clocks, Rivista del Nuovo Cimento, vol.36, pp.555-624, 2013.

T. L. Nicholson, S. L. Campbell, R. B. Hutson, G. E. Marti, B. J. Bloom et al., Systematic evaluation of an atomic clock at 2 ?? 10???18 total uncertainty, Nature Communications, vol.331, 2015.
DOI : 10.1038/ncomms7896

A. Peters, K. Y. Chung, and S. Chu, High-precision gravity measurements using atom interferometry, Metrologia, vol.38, issue.1, p.25, 2001.
DOI : 10.1088/0026-1394/38/1/4

B. Canuel, F. Leduc, D. Holleville, A. Gauguet, J. Fils et al., Six-Axis Inertial Sensor Using Cold-Atom Interferometry, Physical Review Letters, vol.97, issue.1, p.10402, 2006.
DOI : 10.1103/PhysRevLett.97.010402

M. Greiner, O. Mandel, T. Esslinger, T. W. 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, pp.39-44, 2002.
DOI : 10.1038/415039a

. Bose-einstein, Condensation of Atoms in a Uniform Potential, Physical Review Letters, vol.110, 2013.

J. Brantut, J. Meineke, D. Stadler, S. Krinner, and T. Esslinger, Conduction of Ultracold Fermions Through a Mesoscopic Channel, Science, vol.77, issue.22, pp.1069-1071, 2012.
DOI : 10.1103/PhysRevLett.77.4612

C. Kittel, J. Dion, M. Gicquel, and B. Vilquin, Physique de l'état solide : Cours et problèmes, p.8, 2007.

K. V. Klitzing, G. Dorda, and M. Pepper, New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance, Physical Review Letters, vol.45, issue.6, pp.494-497, 1980.
DOI : 10.1103/PhysRevLett.45.494

A. A. Abrikosov, Nobel Lecture: Type-II superconductors and the vortex lattice, Reviews of Modern Physics, vol.76, issue.3, pp.975-979, 2004.
DOI : 10.1103/RevModPhys.76.975

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.461.7498

D. C. Tsui, H. L. Stormer, and A. C. Gossard, Two-Dimensional Magnetotransport in the Extreme Quantum Limit, Physical Review Letters, vol.48, issue.22, pp.1559-1562, 1982.
DOI : 10.1103/PhysRevLett.48.1559

B. Pannetier, J. Chaussy, R. Rammal, and J. C. Villegier, Experimental Fine Tuning of Frustration: Two-Dimensional Superconducting Network in a Magnetic Field, Physical Review Letters, vol.53, issue.19, pp.1845-1848, 1984.
DOI : 10.1103/PhysRevLett.53.1845

C. Albrecht, J. H. Smet, K. Von-klitzing, D. Weiss, V. Umansky et al., Evidence of Hofstadter's Fractal Energy Spectrum in the Quantized Hall Conductance, Physical Review Letters, vol.86, issue.1, pp.147-150, 2001.
DOI : 10.1103/PhysRevLett.86.147

C. R. Dean, L. Wang, P. Maher, C. Forsythe, F. Ghahari et al., Hofstadter???s butterfly and the fractal quantum Hall effect in moir?? superlattices, Nature, vol.11, issue.7451, pp.598-602, 2013.
DOI : 10.1038/nature12186

F. Gerbier and J. Dalibard, Gauge fields for ultracold atoms in optical superlattices, New Journal of Physics, vol.12, issue.3, p.33007, 2010.
DOI : 10.1088/1367-2630/12/3/033007

URL : https://hal.archives-ouvertes.fr/hal-00425517

D. Jaksch and P. Zoller, Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms, New Journal of Physics, vol.5, p.56, 2003.
DOI : 10.1088/1367-2630/5/1/356

J. Struck, C. Ölschläger, M. Weinberg, P. Hauke, J. Simonet et al., Tunable Gauge Potential for Neutral and Spinless Particles in Driven Optical Lattices, Physical Review Letters, vol.108, issue.22, p.225304, 2012.
DOI : 10.1103/PhysRevLett.108.225304

J. Struck, M. Weinberg, C. Ölschläger, P. Windpassinger, J. Simonet et al., Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields, Nature Physics, vol.95, issue.11, pp.738-743, 2013.
DOI : 10.1038/nphys2750

G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger et al., Experimental realization of the topological Haldane model with ultracold fermions, Nature, vol.106, issue.7526, pp.237-240, 2014.
DOI : 10.1038/nature13915

M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y. Chen et al., Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice, Physical Review Letters, vol.107, issue.25, p.255301, 2011.
DOI : 10.1103/PhysRevLett.107.255301

URL : https://hal.archives-ouvertes.fr/hal-00659354

M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes et al., Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices, Physical Review Letters, vol.111, issue.18, p.185301, 2013.
DOI : 10.1103/PhysRevLett.111.185301

M. Atala, M. Aidelsburger, J. T. Barreiro, D. Abanin, T. Kitagawa et al., Direct measurement of the Zak phase in topological Bloch bands, Nature Physics, vol.1134, issue.12, pp.795-800, 2013.
DOI : 10.1038/nphys1926

H. Miyake, G. A. Siviloglou, C. J. Kennedy, W. C. Burton, and W. Ketterle, Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices, Physical Review Letters, vol.111, issue.18, p.185302, 2013.
DOI : 10.1103/PhysRevLett.111.185302

M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes et al., Observation of chiral currents with ultracold atoms in bosonic ladders, Nature Physics, vol.334, issue.8, pp.588-593, 2014.
DOI : 10.1038/nphys2998

M. Aidelsburger, M. Lohse, C. Schweizer, M. Atala, J. T. Barreiro et al., Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms, Nature Physics, vol.108, issue.2, pp.162-166, 2015.
DOI : 10.1038/nphys3171

C. J. Kennedy, W. C. Burton, W. C. Chung, and W. Ketterle, Observation of Bose???Einstein condensation in a strong synthetic magnetic field, Nature Physics, vol.19, issue.10, 2015.
DOI : 10.1103/PhysRevLett.110.185301

B. K. Stuhl, H. Lu, L. M. Aycock, D. Genkina, and I. B. Spielman, Visualizing edge states with an atomic Bose gas in the quantum Hall regime, Science, vol.15, issue.22, 2015.
DOI : 10.1103/PhysRevLett.108.225304

M. Mancini, G. Pagano, G. Cappellini, L. Livi, M. Rider et al., Observation of chiral edge states with neutral fermions in synthetic Hall ribbons, Science, vol.53, issue.8, 2015.
DOI : 10.1103/PhysRevLett.94.080403

Y. Takasu, K. Maki, K. Komori, T. Takano, K. Honda et al., Spin-Singlet Bose-Einstein Condensation of Two-Electron Atoms, Physical Review Letters, vol.91, issue.4, p.40404, 2003.
DOI : 10.1103/PhysRevLett.91.040404

URL : http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/49884/1/e040404.pdf

C. Cohen-tannoudji, B. Diu, and F. Laloë, Mécanique quantique I. Editions Hermann, 1997.

J. Dalibard, Le magnétisme artificiel pour les gaz d'atomes froids Cours du Collège de France Collège de France (2013). notes de cours disponibles sur http

Y. Aharonov and D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory, Physical Review, vol.115, issue.3, pp.485-491, 1959.
DOI : 10.1103/PhysRev.115.485

R. G. Chambers, Shift of an Electron Interference Pattern by Enclosed Magnetic Flux, Physical Review Letters, vol.5, issue.1, pp.3-5, 1960.
DOI : 10.1103/PhysRevLett.5.3

A. Tonomura, T. Matsuda, R. Suzuki, A. Fukuhara, N. Osakabe et al., Observation of Aharonov-Bohm Effect by Electron Holography, Physical Review Letters, vol.48, issue.21, pp.1443-1446, 1982.
DOI : 10.1103/PhysRevLett.48.1443

C. Cohen-tannoudji, Condensats de Bose-Einstein en rotation Cours du Collège de France notes de cours disponibles sur http, 2001.

N. Cooper, Rapidly rotating atomic gases Advances in, Physics, vol.57, pp.539-616, 2008.
DOI : 10.1080/00018730802564122

URL : http://arxiv.org/abs/0810.4398

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

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

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

J. Dalibard, F. Gerbier, G. Juzeli?unasjuzeli?unas, 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

C. Cohen-tannoudji, J. Dupont-roc, and G. Grynberg, Processus d'interaction entre photons et atomes, 1988.

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

URL : http://arxiv.org/abs/1007.0294

J. Dalibard, Des cages de lumière pour les atomes : la physique des pièges et des réseaux optiques. Cours du Collège de France Collège de France (2012). notes de cours disponibles sur http

J. M. Luttinger, The Effect of a Magnetic Field on Electrons in a Periodic Potential, Physical Review, vol.84, issue.4, pp.814-817, 1951.
DOI : 10.1103/PhysRev.84.814

W. Kohn, Theory of Bloch Electrons in a Magnetic Field: The Effective Hamiltonian, Physical Review, vol.115, issue.6, pp.1460-1478, 1959.
DOI : 10.1103/PhysRev.115.1460

D. R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Physical Review B, vol.14, issue.6, pp.2239-2249, 1976.
DOI : 10.1103/PhysRevB.14.2239

C. Cohen-tannoudji and D. Guery-odelin, Advances In Atomic Physics : An Overview, 2011.
DOI : 10.1142/6631

J. F. 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

S. Tung, V. Schweikhard, and E. A. Cornell, Observation of Vortex Pinning in Bose-Einstein Condensates, Physical Review Letters, vol.97, issue.24, p.240402, 2006.
DOI : 10.1103/PhysRevLett.97.240402

A. S. Sørensen, E. Demler, and M. D. Lukin, Fractional Quantum Hall States of Atoms in Optical Lattices, Physical Review Letters, vol.94, issue.8, p.86803, 2005.
DOI : 10.1103/PhysRevLett.94.086803

K. Jiménez-garcía, L. J. Leblanc, R. A. Williams, M. C. Beeler, A. R. Perry et al., Peierls Substitution in an Engineered Lattice Potential, Physical Review Letters, vol.108, issue.22, p.225303, 2012.
DOI : 10.1103/PhysRevLett.108.225303

S. Choudhury and E. J. Mueller, Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice, Physical Review A, vol.91, issue.2, p.23624, 2015.
DOI : 10.1103/PhysRevA.91.023624

T. Bilitewski and N. R. Cooper, Scattering theory for Floquet-Bloch states, Physical Review A, vol.91, issue.3, p.33601, 2015.
DOI : 10.1103/PhysRevA.91.033601

URL : http://arxiv.org/abs/1410.5364

M. Scholl, Probing an ytterbium Bose-Einstein condensate using an ultranarrow optical line : Towards artificial gauge fields in optical lattices, Thèse de doctorat, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01160837

T. Bilitewski and N. R. Cooper, Population dynamics in a Floquet realization of the Harper-Hofstadter Hamiltonian, Physical Review A, vol.91, issue.6, p.63611, 2015.
DOI : 10.1103/PhysRevA.91.063611

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

N. R. Cooper and J. Dalibard, Optical flux lattices for two-photon dressed states, EPL (Europhysics Letters), vol.95, issue.6, p.66004, 2011.
DOI : 10.1209/0295-5075/95/66004

URL : http://arxiv.org/abs/1106.0820

V. A. Dzuba and A. Derevianko, Dynamic polarizabilities and related properties of clock states of the ytterbium atom, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.43, issue.7, p.74011, 2010.
DOI : 10.1088/0953-4075/43/7/074011

S. Porsev, A. Derevianko, and E. Fortson, atoms held in an optical lattice, Physical Review A, vol.69, issue.2, p.21403, 2004.
DOI : 10.1103/PhysRevA.69.021403

Z. Barber, J. Stalnaker, N. Lemke, N. Poli, C. Oates et al., Optical Lattice Induced Light Shifts in an Yb Atomic Clock, Physical Review Letters, vol.100, issue.10, pp.103002-103002, 2008.
DOI : 10.1103/PhysRevLett.100.103002

W. Yi, A. J. Daley, G. Pupillo, and P. Zoller, State-dependent, addressable subwavelength lattices with cold atoms, New Journal of Physics, vol.10, issue.7, p.73015, 2008.
DOI : 10.1088/1367-2630/10/7/073015

URL : http://doi.org/10.1088/1367-2630/10/7/073015

R. Maruyama, Optical trapping of ytterbium atoms, Thèse de doctorat, 2003.

C. J. Foot, Atomic physics, 2005.

K. Honda, Y. Takahashi, T. Kuwamoto, M. Fujimoto, K. Toyoda et al., state, Physical Review A, vol.59, issue.2, pp.934-937, 1999.
DOI : 10.1103/PhysRevA.59.R934

URL : https://hal.archives-ouvertes.fr/in2p3-00691968

T. Kuwamoto, K. Honda, Y. Takahashi, and T. Yabuzaki, Magneto-optical trapping of Yb atoms using an intercombination transition, Physical Review A, vol.60, issue.2, pp.745-748, 1999.
DOI : 10.1103/PhysRevA.60.R745

E. W. Rothe and R. B. Bernstein, Total Collision Cross Sections for the Interaction of Atomic Beams of Alkali Metals with Gases, The Journal of Chemical Physics, vol.9, issue.6, p.1619, 1959.
DOI : 10.1103/PhysRev.37.682

A. Yamaguchi, S. Uetake, D. Hashimoto, J. M. Doyle, and Y. Takahashi, Inelastic Collisions in Optically Trapped Ultracold Metastable Ytterbium, Physical Review Letters, vol.101, issue.23, p.233002, 2008.
DOI : 10.1103/PhysRevLett.101.233002

URL : http://arxiv.org/abs/0802.0461

R. W. Boyd, Nonlinear Optics, Third Edition, Journal of Biomedical Optics, vol.14, issue.2, 2008.
DOI : 10.1117/1.3115345

C. B. Alcock, V. P. Itkin, and M. K. Horrigan, Vapour Pressure Equations for the Metallic Elements, Canadian Metallurgical Quarterly, vol.23, pp.298-2500, 1984.
DOI : 10.1179/000844384795483058

S. Gerstenkorn and P. Luc, Atlas du spectre d'absorption de la molécule d'iode 14 800 -20 000 cm-1 -Complément Disponible sur http, Éditions du CNRS, 1978.

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, 2013.
DOI : 10.1063/1.1642741

W. Ketterle, D. S. Durfee, and D. M. Stamper-kurn, Making, probing and understanding Bose-Einstein condensates, Bose-Einstein condensation in atomic gases, Proceedings of the International School of Physics "Enrico Fermi Course CXL, pp.67-176, 1999.

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

S. Dörscher, A. Thobe, B. Hundt, A. Kochanke, R. Le-targat et al., Creation of quantum-degenerate gases of ytterbium in a compact 2D-/3D-magneto-optical trap setup, Review of Scientific Instruments, vol.84, issue.4, p.43109, 2013.
DOI : 10.1103/PhysRevA.77.012719

Z. Barber, Ytterbium Optical Lattice Clock, Thèse de doctorat, 2007.

T. L. Gustavson, A. P. Chikkatur, A. E. Leanhardt, A. Görlitz, S. Gupta et al., Transport of Bose-Einstein Condensates with Optical Tweezers, Physical Review Letters, vol.88, issue.2, p.20401, 2001.
DOI : 10.1103/PhysRevLett.88.020401

H. J. Lewandowski, D. M. Harber, D. L. Whitaker, and E. A. Cornell, Simplified System for Creating a Bose?Einstein Condensate, Journal of Low Temperature Physics, vol.132, issue.5/6, pp.309-367, 2003.
DOI : 10.1023/A:1024800600621

J. Léonard, M. Lee, A. Morales, T. M. Karg, T. Esslinger et al., Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses, New Journal of Physics, vol.16, issue.9, p.93028, 2014.
DOI : 10.1088/1367-2630/16/9/093028

M. Greiner, I. Bloch, T. W. Hänsch, and T. Esslinger, 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

A. Couvert, T. Kawalec, G. Reinaudi, and D. Guéry-odelin, Optimal transport of ultracold atoms in the non-adiabatic regime, EPL (Europhysics Letters), vol.83, issue.1, p.13001, 2008.
DOI : 10.1209/0295-5075/83/13001

URL : https://hal.archives-ouvertes.fr/hal-00168928

Y. Castin and R. Dum, Bose-Einstein Condensates in Time Dependent Traps, Physical Review Letters, vol.77, issue.27, pp.5315-5319, 1996.
DOI : 10.1103/PhysRevLett.77.5315

S. Giorgini, L. P. Pitaevskii, and S. Stringari, Condensate fraction and critical temperature of a trapped interacting Bose gas, Physical Review A, vol.54, issue.6, pp.4633-4636, 1996.
DOI : 10.1103/PhysRevA.54.R4633

T. Gericke, F. Gerbier, A. Widera, S. Fölling, O. Mandel et al., Adiabatic loading of a Bose???Einstein condensate in a 3D optical lattice, Journal of Modern Optics, vol.54, issue.5, pp.735-743, 2007.
DOI : 10.1103/PhysRevLett.89.250404

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

I. Courtillot, A. Quessada, R. Kovacich, A. Brusch, D. Kolker et al., Clock transition for a future optical frequency standard with trapped atoms, Physical Review A, vol.68, issue.3, p.30501, 2003.
DOI : 10.1103/PhysRevA.68.030501

URL : https://hal.archives-ouvertes.fr/hal-00016399

C. W. Hoyt, Z. W. Barber, C. W. Oates, T. M. Fortier, S. A. Diddams et al., Optical Clock Transition in Neutral Ytterbium, Physical Review Letters, vol.95, issue.8, p.83003, 2005.
DOI : 10.1103/PhysRevLett.95.083003

T. Hong, C. Cramer, E. Cook, W. Nagourney, and E. N. Fortson, Studies of the 1 S 0 ? 3 P 0 transition in atomic Yb for optical clocks and qubit arrays, LEOS Summer Topical Meeting, pp.81-82, 2005.

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev et al., Atoms Confined to an Optical Lattice, Physical Review Letters, vol.96, issue.8, p.83002, 2006.
DOI : 10.1103/PhysRevLett.96.083002

S. Hirata, T. Akatsuka, Y. Ohtake, and A. Morinaga, Sub-hertz-linewidth diode laser stabilized to an ultralow-drift high-finesse optical cavity, Applied Physics Express, vol.7, issue.2, 2014.
DOI : 10.7567/APEX.7.022705

A. Yamaguchi, S. Uetake, S. Kato, H. Ito, and Y. Takahashi, High-resolution laser spectroscopy of a Bose???Einstein condensate using the ultranarrow magnetic quadrupole transition, New Journal of Physics, vol.12, issue.10, p.103001, 2010.
DOI : 10.1088/1367-2630/12/10/103001

F. Scazza, C. Hofrichter, M. Höfer, P. C. De-groot, I. Bloch et al., Observation of two-orbital spin-exchange interactions with ultracold SU(N)- symmetric fermions, Nature Physics, vol.105, pp.779-784, 2014.
DOI : 10.1038/nphys3061

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber et al., Magnetic Field-Induced Spectroscopy of Forbidden Optical Transitions with Application to Lattice-Based Optical Atomic Clocks, Physical Review Letters, vol.96, issue.8, pp.1-5, 2006.
DOI : 10.1103/PhysRevLett.96.083001

G. , D. Domenico, S. Schilt, and P. Thomann, Simple approach to the relation between laser frequency noise and laser line shape, Applied Optics, vol.49, pp.4801-4807, 2010.

C. Cohen-tannoudji, Mouvement Brownien, réponses linéaires, équations de Mori et fonctions de corrélation. Cours du Collège de France notes de cours disponibles sur http, 1977.

R. W. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford et al., Laser phase and frequency stabilization using an optical resonator, Applied Physics B Photophysics and Laser Chemistry, vol.17, issue.2, pp.97-105, 1983.
DOI : 10.1007/BF00702605

E. D. Black, An introduction to Pound???Drever???Hall laser frequency stabilization, American Journal of Physics, vol.69, issue.1, p.79, 2001.
DOI : 10.1119/1.1286663

K. Numata, A. Kemery, and J. Camp, Thermal-Noise Limit in the Frequency Stabilization of Lasers with Rigid Cavities, Physical Review Letters, vol.93, issue.25, pp.1-4, 2004.
DOI : 10.1103/PhysRevLett.93.250602

M. Notcutt, L. Ma, A. D. Ludlow, S. M. Foreman, J. Ye et al., Contribution of thermal noise to frequency stability of rigid optical cavity via Hertz-linewidth lasers, Physical Review A, vol.73, issue.3, p.31804, 2006.
DOI : 10.1103/PhysRevA.73.031804

T. Legero, T. Kessler, and U. Sterr, Tuning the thermal expansion properties of optical reference cavities with fused silica mirrors, Journal of the Optical Society of America B, vol.27, issue.5, pp.914-919, 2010.
DOI : 10.1364/JOSAB.27.000914

G. Cappellini, P. Lombardi, M. Mancini, G. Pagano, M. Pizzocaro et al., A compact ultranarrow high-power laser system for experiments with 578nm Ytterbium clock transition, 2015.
DOI : 10.1063/1.4927165

URL : http://arxiv.org/abs/1505.01512

J. Millo, D. V. Magalhäes, C. Mandache, Y. Le-coq, E. M. English et al., Ultrastable lasers based on vibration insensitive cavities, Physical Review A, vol.79, issue.5, pp.1-7, 2009.
DOI : 10.1103/PhysRevA.79.053829

URL : http://arxiv.org/abs/0901.4717

P. Westergaard, Strontium Optical Lattice Clock : In Quest of the Ultimate Performance, Thèse de doctorat, École nationale supérieure des télécommunications - ENST, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00541420

A. Ludlow, The Strontium Optical Lattice Clock : Optical Spectroscopy with Sub- Hertz Accuracy, Thèse de doctorat, 2008.

L. Hollberg, S. Diddams, A. Bartels, T. Fortier, and K. Kim, The measurement of optical frequencies, Metrologia, vol.42, issue.3, p.105, 2005.
DOI : 10.1088/0026-1394/42/3/S12

F. Hong, H. Inaba, K. Hosaka, M. Yasuda, and A. Onae, Doppler-free spectroscopy of molecular iodine using a frequency-stable light source at 578 nm, Optics Express, vol.17, issue.3, pp.1652-1659, 2009.
DOI : 10.1364/OE.17.001652

D. G. Fletcher and J. C. Mcdaniel, Collisional shift and broadening of iodine spectral lines in air near 543 nm, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.54, issue.5, pp.837-850, 1995.
DOI : 10.1016/0022-4073(95)00105-T

D. G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss et al., Bose-Einstein Condensation of Atomic Hydrogen, Physical Review Letters, vol.81, issue.18, pp.3811-3814, 1998.
DOI : 10.1103/PhysRevLett.81.3811

URL : http://arxiv.org/abs/physics/9809017

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, pp.871-875, 1999.
DOI : 10.1103/PhysRevLett.82.871

J. Stenger, S. Inouye, A. P. Chikkatur, D. M. Stamper-kurn, D. E. Pritchard et al., Bragg Spectroscopy of a Bose-Einstein Condensate, Physical Review Letters, vol.82, issue.23, pp.4569-4573, 1999.
DOI : 10.1103/PhysRevLett.82.4569

D. M. Stamper-kurn, A. P. Chikkatur, A. Görlitz, S. Inouye, S. Gupta et al., Excitation of Phonons in a Bose-Einstein Condensate by Light Scattering, Physical Review Letters, vol.83, issue.15, pp.2876-2879, 1999.
DOI : 10.1103/PhysRevLett.83.2876

D. M. Harber, H. J. Lewandowski, J. M. Mcguirk, and E. A. Cornell, Effect of cold collisions on spin coherence and resonance shifts in a magnetically trapped ultracold gas, Physical Review A, vol.66, issue.5, p.53616, 2002.
DOI : 10.1103/PhysRevA.66.053616

S. Gupta, Z. Hadzibabic, M. W. Zwierlein, C. A. Stan, K. Dieckmann et al., Radio-Frequency Spectroscopy of Ultracold Fermions, Science, vol.300, issue.5626, pp.1723-1726, 2003.
DOI : 10.1126/science.1085335

URL : http://arxiv.org/abs/cond-mat/0307259

C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim et al., Observation of the Pairing Gap in a Strongly Interacting Fermi Gas, Science, vol.305, issue.5687, pp.1128-1130, 2004.
DOI : 10.1126/science.1100818

G. Cappellini, M. Mancini, G. Pagano, P. Lombardi, L. Livi et al., Direct Observation of Coherent Interorbital Spin-Exchange Dynamics, Physical Review Letters, vol.113, issue.12, p.120402, 2014.
DOI : 10.1103/PhysRevLett.113.120402

A. D. Ludlow, N. D. Lemke, J. A. Sherman, C. W. Oates, G. Quéméner et al., Cold-collision-shift cancellation and inelastic scattering in a Yb optical lattice clock, Physical Review A, vol.84, issue.5, p.52724, 2011.
DOI : 10.1103/PhysRevA.84.052724

K. Gibble and S. Chu, Laser-cooled Cs frequency standard and a measurement of the frequency shift due to ultracold collisions, Physical Review Letters, vol.70, issue.12, pp.1771-1774, 1993.
DOI : 10.1103/PhysRevLett.70.1771

T. C. Killian, spectrum of a hydrogen Bose-Einstein condensate, Physical Review A, vol.61, issue.3, p.33611, 2000.
DOI : 10.1103/PhysRevA.61.033611

M. Kitagawa, K. Enomoto, K. Kasa, Y. Takahashi, R. Ciury?o et al., -wave scattering lengths, Physical Review A, vol.77, issue.1, p.12719, 2008.
DOI : 10.1103/PhysRevA.77.012719

URL : https://hal.archives-ouvertes.fr/in2p3-01128037

T. Fukuhara, S. Sugawa, Y. Takasu, and Y. Takahashi, All-optical formation of quantum degenerate mixtures, Physical Review A, vol.79, issue.2, p.21601, 2009.
DOI : 10.1103/PhysRevA.79.021601

F. Zambelli, L. Pitaevskii, D. M. Stamper-kurn, and S. Stringari, Dynamic structure factor and momentum distribution of a trapped Bose gas, Physical Review A, vol.61, issue.6, p.63608, 2000.
DOI : 10.1103/PhysRevA.61.063608

A. V. Gorshkov, M. Hermele, V. Gurarie, C. Xu, P. S. Julienne et al., Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms, Nature Physics, vol.448, issue.4, pp.289-295, 2010.
DOI : 10.1038/nphys1535

URL : http://arxiv.org/abs/0905.2610

A. J. Daley, M. M. Boyd, J. Ye, and P. Zoller, Quantum Computing with Alkaline-Earth-Metal Atoms, Physical Review Letters, vol.101, issue.17, p.170504, 2008.
DOI : 10.1103/PhysRevLett.101.170504

A. V. Gorshkov, A. M. Rey, A. J. Daley, M. M. Boyd, J. Ye et al., Alkaline-Earth-Metal Atoms as Few-Qubit Quantum Registers, Physical Review Letters, vol.102, issue.11, p.110503, 2009.
DOI : 10.1103/PhysRevLett.102.110503

URL : http://arxiv.org/abs/0812.3660

M. Foss-feig, M. Hermele, and A. M. Rey, Probing the Kondo lattice model with alkaline-earth-metal atoms, Physical Review A, vol.81, issue.5, p.51603, 2010.
DOI : 10.1103/PhysRevA.81.051603

J. H. Denschlag, J. E. Simsarian, H. Häffner, C. Mckenzie, A. Browaeys et al., A Bose-Einstein condensate in an optical lattice, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.35, issue.14, p.3095, 2002.
DOI : 10.1088/0953-4075/35/14/307

URL : http://arxiv.org/abs/cond-mat/0206063