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Over the last years the exciting developments in the field of ultracold atoms confined in optical lattices have led to numerous theoretical proposals devoted to the quantum simulation of problems e.g.
Boson localization and the superfluid-insulator transition
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher · 1989
Earlier work this paper cites.
Crystallography of optical lattices
K. I. Petsas, A. B. Coates, and G. Grynberg · 1994
Earlier work this paper cites.
Laser-noise-induced heating in far-off resonant optical traps
T. A. Savard, K. M. O’Hara, and J. E. Thomas · 1997
Earlier work this paper cites.
Cold Bosonic Atoms in Optical Lattices
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller · 1998
Earlier work this paper cites.
Observation of metastable states in spinor Bose-Einstein condensates
H.-J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle · 1999
Earlier work this paper cites.
Quantum Tunneling across Spin Domains in a Bose-Einstein Condensate
D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, S. Inouye, J. Stenger, and W. Ketterle · 1999
Earlier work this paper cites.
Many-Particle Entanglement with Bose-Einstein Condensates
A. Sorensen, L.-M. Duan, J. I. Cirac, and P. Zoller · 2001
Earlier work this paper cites.
Quantum phases in an optical lattice
D. van Oosten, P. van der Straten, and H. T. C. Stoof · 2001
Earlier work this paper cites.
Creation of a Molecular Condensate by Dynamically Melting a Mott Insulator
D. Jaksch, V. Venturi, J. I. Cirac, C. J. Williams, and P. Zoller · 2002
Earlier work this paper cites.
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch · 2002
Earlier work this paper cites.
Revealing the superfluid-Mott-insulator transition in an optical lattice
V. A. Kashurnikov, N. V. Prokof’ev, and B. V. Svistunov · 2002
Earlier work this paper cites.
Mott-Hubbard transition of cold atoms in optical lattices
W. Zwerger · 2003
Earlier work this paper cites.
Superfluidity and interference pattern of ultracold atoms in optical lattices
R. Roth and K. Burnett · 2003
Earlier work this paper cites.
Atomic Quantum Gases in Kagome Lattices
L. Santos, M. A. Baranov, J. I. Cirac, H.-U. Everts, H. Fehrmann, and M. Lewenstein · 2004
Earlier work this paper cites.
Bose-Einstein condensation at constant temperature
M. Erhard, H. Schmaljohann, J. Kronjäger, K. Bongs, and K. Sengstock · 2004
Earlier work this paper cites.
Dynamics of F = 2 Spinor Bose-Einstein Condensates
H. Schmaljohann, M. Erhard, J. Kronjäger, M. Kottke, S. van Staa, L. Cacciapuoti, J. J. Arlt, K. Bongs, and K. Sengstock · 2004
Earlier work this paper cites.
Observation of Spinor Dynamics in Optically Trapped 87Rb Bose-Einstein Condensates
M.-S. Chang, C. D. Hamleyand, M. D. Barrett, J. A. Sauer, K. M. Fortier, W. Zhang, L. You, and M. S. Chapman · 2004
Earlier work this paper cites.
Quantum monte carlo simulations of confined bosonic atoms in optical lattices
S. Wessels, F. Alet, M. Troyer, and G. G. Batrouni · 2004
Earlier work this paper cites.
Transition from a Strongly Interacting 1D Superfluid to a Mott Insulator
T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger · 2004
Earlier work this paper cites.
Quantum computations with atoms in optical lattices: Marker qubits and molecular interactions
T. Calarco, U. Dorner, P. S. Julienne, C. J. Williams, and P. Zoller · 2004
Earlier work this paper cites.
Adiabatic loading of bosons into optical lattices
P. B. Blakie and J. V. Porto · 2004
Earlier work this paper cites.
Direct Observation of Tunneling and Nonlinear Self-Trapping in a Single Bosonic Josephson Junction
M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler · 2005
Cited alongside, same era.
Coherent collisional spin dynamics in optical lattices
A. Widera, F. Gerbier, S. Fölling, T. Gericke, O. Mandel, and I. Bloch · 2005
Cited alongside, same era.
Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattices
R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng, and L. Barents · 2005
Cited alongside, same era.
Supersolid Hard-Core Bosons on the Triangular Lattice
S. Wessel and M. Troyer · 2005
Cited alongside, same era.
Spin Disorder on a Triangular Lattice
S. Nakatsuji, Y. Nambu, H. Tonomura, O. Sakai, S. Jonas, C. Broholm, H. Tsunetsugu, Y. Qiu, and Y. Maeno · 2005
Cited alongside, same era.
Evolution of a spinor condensate: coherent dynamics, dephasing and revivals
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen · 2007
Later among the works it cites.
Exotic superconducting phases of ulracold atom mixtures on triangular lattices
L. Mathey, S.-W. Tsai, and A. H. Neto · 2007
Later among the works it cites.
Boson Mott Insulators at Finite Temperatures
F. Gerbier · 2007
Later among the works it cites.
Signal of Bose-Einstein condensation in an optical lattice at finite temperature
W. Yi, G.-D. Lin, and L.-M. Duan · 2007
Later among the works it cites.
Mott-insulator Transition in a Two-Dimensional Atomic Bose gas
I. B. Spielman, W. D. Phillips, and J. V. Porto · 2007
Later among the works it cites.
Intrinsic Heating and Cooling in Adiabatic Processes for Bosons in Optical Lattices
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J. Kronjäger, C. Becker, M. Brinkmann, R. Walser, P. Navez, K. Bongs, and K. Sengstock · 2005
Cited alongside, same era.
Coherent spinor dynamics in a spin-1 Bose condensate
M.-S. Chang, Q. Qin, W. Zhang, L. You, and M. S. Chapman · 2005
Cited alongside, same era.
Coherent spin mixing dynamics in a spin-1 atomic condensate
W. Zhang, D. L. Zhou, M.-S. Chang, M.-S. Chapman, and L.You · 2005
Cited alongside, same era.
Dynamical instability and domain formation in a spin-1 Bose-Einstein condensate
W. Zhang, D. L. Zhou, M.-S. Chang, M.-S. Chapman, and L.You · 2005
Cited alongside, same era.
Phase Coherence of an Atomic Mott Insulator
F. Gerbier, A. Widera, S. Fölling, O. Mandel, T. Gericke, and I. Bloch · 2005
Cited alongside, same era.
Interfernce pattern and visibility of a Mott insulator
F. Gerbier, A. Widera, S. Fölling, O. Mandel, T. Gericke, and I. Bloch · 2005
Cited alongside, same era.
Spatial quantum noise interferometry in expanding ultracold atom clouds
S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, and I. Bloch · 2005
Cited alongside, same era.
T.-L. Ho and Q. Zhou · 2007
Later among the works it cites.
Many-Body Physics with Ultracold Gases
I. Bloch, J. Dalibard, and W. Zwerger · 2008
Later among the works it cites.
Time-Resolved Observation and Control of Superexchange Interaction with Ultracold Atoms in Optical Lattices
S. Trotzky, P. Cheinet, S. Fölling, M. Feld, U. Schnorrberger, A. M. Rey, A. Polkonikov, E. A. Demler, M. D. Lukin, and I. Bloch · 2008
Later among the works it cites.
Counting Atoms Using Interaction Blockade in an Optical Lattice
P. Cheinet, S. Trotzky, M. Feld, U. Schnorrberger, M. Moreno-Cardoner, S. Fölling, and I. Bloch · 2008
Later among the works it cites.
Staggered-Vortex Superfluid of Ultracold Bosons in a 3d Optical Lattice
L. K. Lim, C. M. Smith, and A. Hemmerich · 2008
Later among the works it cites.
Quasirelativistic behaviour of cold atoms in light fields
G. Juzeliunas, J. Ruseckas, M. Lindberg, L. Santos, and P. Öhberg · 2008
Later among the works it cites.
Spontaneously Modulated Spin Textures in a Dipolar Spinor Bose-Einstein Condensate
M. Vengalattore, S. R. Laslie, J. Guzman, and D. M. Stamper-Kurn · 2008
Later among the works it cites.
Expansion of a Quantum Gas Released from an Optical Lattice
F. Gerbier, S. Trotzky, S. Folling, U. Schnorrberger, J. D. Thompson, A. Widera, I. Bloch, L. Pollet, M. Troyer, B. Capogrosso-Sansone, N. V. Prokof’ev, and B. V. Svistunov · 2008
Later among the works it cites.
Sharp peaks in the momentum distribution of bosons in optical lattices in the normal state
Y. Kato, Q. Zhou, N. Kawashima, and N. Trivedi · 2008
Later among the works it cites.
Superfluid and mott-insulating shells of bosons in harmonically confined optical lattices
K. Mitra, C. J. Williams, and C. A. R. Sa de Melo · 2008
Later among the works it cites.
Condenstate Fraction in a 2D Bose Gas Measured across the Mott-Insulator Transition
I. B. Spielman, W. D. Phillips, and J. V. Porto · 2008
Later among the works it cites.
Bose-Einstein Condensate in a Uniform Light-Induced Vector Potential
Y.-J. Lin, R. L. Compton, A. R. Perry, W. D. Phillips, J. V. Porto, and I. B. Spielman · 2009
Closest in time.
The nonlinear Dirac equation in Bose-Einstein condensates: Foundation and symmetries
L. H. Haddad and L. D. Carr · 2009
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Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
A. Eckard, P. Hauke, P. Soltan-Panahi, C. Becker, K. Sengstock, and M. Lewenstein · 2009
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Spontaneous pattern formation in an anti-ferromagnetic quantum gas
J. Kronjäger, C. Becker, P. Soltan-Panahi, K. Bongs, and K. Sengstock · 2009
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In situ observation of incompressible Mott-insulating domains in ultracold atomic gases
N. Gemelke, X. Zhang, C. L. Hung, and C. Chin · 2009
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