R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).

[CrossRef]

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

M. Rigol and A. Muramatsu, "Ground-state properties of hard-core bosons confined on one-dimensional optical lattices," Phys. Rev. A 72, 013604/1-13 (2005).

J. Zakrzewski, "Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms," Phys. Rev. A 71, 043601/1-7 (2005).

[CrossRef]

K. V. Krutitsky, M. Timmer, and R. Graham, "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices," Phys. Rev. A 71, 033623/1-4 (2005).

[CrossRef]

P. Jain and C. W. Gardiner, "A phase-space method for Bose-Hubbard model: application to mean-field models," J. Phys. B 37, 3649-3680 (2004).

[CrossRef]

A. Polkovnikov and D. W. Wang, "Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices," Phys. Rev. Lett. 93, 070401/1-4 (2004).

[CrossRef]

S. R. Clark and D. Jaksch, "Dynamics of the superfluid to Mott-insulator transition in one dimension," Phys. Rev. A 70, 043612/1-13 (2004).

[CrossRef]

S. Tsuchiya, S. Kurihara, and T. Kimura, "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice," Phys. Rev. A 70, 043628/1-11 (2004).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

K. V. Krutitsky and R. Graham, "Spin-1 bosons with coupled ground states in optical lattice," Phys. Rev. A 70, 063610/1-10 (2004).

[CrossRef]

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

Y. Wu and X. Yang, "Analytical results for energy spectrum and eigenstates of Bose-Einstein condensate in Mott insulator state," Phys. Rev. A 68, 013608/1-7 (2003).

[CrossRef]

A. A. Svidzinsky and S. T. Chui, "Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field," Phys. Rev. A 68, 043612/1-8 (2003).

[CrossRef]

A. Buchleitner and A. Kolovsky, "Interaction-induced decoherence of atomic Bloch oscillations," Phys. Rev. Lett. 91, 253002/1-4 (2003).

[CrossRef]

W. Zwerger, "Mott-Hubbard transition of cold atoms in optical lattices," J. Opt. 5, S9-S16 (2003).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

C. Menotti, A. Smerzi, and A. Trombettoni, "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential," New J. Phys. 5, 112/1-20 (2003).

[CrossRef]

D. C. Roberts and K. Burnett, "Probing states in the Mott insulator regime in the case of coherent bosons trapped in an optical lattice," Phys. Rev. Lett. 90, 150401/1-4 (2003).

[CrossRef]

V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, "Revealing the superfluid-Mott-insulator transition in an optical lattice," Phys. Rev. A 66, 031601(R)/l-4 (2002).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

D. van Oosten, P. van der Straten, and H. T. C. Stoof, "Quantum phases in an optical lattice," Phys. Rev. A 63, 053601/1-12 (2001).

[CrossRef]

M. D. Girardeau, E. M. Wright, and J. M. Triscari, "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap," Phys. Rev. A 63, 033601/1-6 (2001).

[CrossRef]

M. D. Girardeau and E. M. Wright, "Breakdown of time-dependent mean field theory for a one-dimensional condensate of impenetrable bosons," Phys. Rev. Lett. 84, 5239-5243 (2000).

[CrossRef]
[PubMed]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

T. D. Kühner, S. R. White, and H. Monien, "One-dimensional Bose-Hubbard model with nearest-neighbor interaction," Phys. Rev. B 61, 12474-12489 (2000).

[CrossRef]

L. Amico and V. Penna, "Time-dependent mean-field theory of the superfluid-insulator phase transition," Phys. Rev. B 62, 1224-1237 (2000).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

L. Amico and V. Penna, "Dynamical mean field theory of the Bose-Hubbard model," Phys. Rev. Lett. 80, 2189-2192 (1998).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

E. H. Lieb and W. Liniger, "Exact analysis of an interacting Bose gas. I. The general solution and the ground state," Phys. Rev. 130, 1605-1616 (1963).

[CrossRef]

E. H. Lieb, "Exact analysis of an interacting Bose gas. II. The excitation spectrum," Phys. Rev. 130, 1616-1624 (1963).

[CrossRef]

M. D. Girardeau, "Relationship between systems of impenetrable bosons and fermions in one dimension," J. Math. Phys. 1, 516-523 (1960).

[CrossRef]

L. Tonks, "The complete equation of state of one, two and three-dimensional gases of hard elastic spheres," Phys. Rev. 50, 955-963 (1936).

[CrossRef]

L. Amico and V. Penna, "Time-dependent mean-field theory of the superfluid-insulator phase transition," Phys. Rev. B 62, 1224-1237 (2000).

[CrossRef]

L. Amico and V. Penna, "Dynamical mean field theory of the Bose-Hubbard model," Phys. Rev. Lett. 80, 2189-2192 (1998).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

A. Buchleitner and A. Kolovsky, "Interaction-induced decoherence of atomic Bloch oscillations," Phys. Rev. Lett. 91, 253002/1-4 (2003).

[CrossRef]

D. C. Roberts and K. Burnett, "Probing states in the Mott insulator regime in the case of coherent bosons trapped in an optical lattice," Phys. Rev. Lett. 90, 150401/1-4 (2003).

[CrossRef]

R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).

[CrossRef]

A. A. Svidzinsky and S. T. Chui, "Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field," Phys. Rev. A 68, 043612/1-8 (2003).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

S. R. Clark and D. Jaksch, "Dynamics of the superfluid to Mott-insulator transition in one dimension," Phys. Rev. A 70, 043612/1-13 (2004).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

P. Jain and C. W. Gardiner, "A phase-space method for Bose-Hubbard model: application to mean-field models," J. Phys. B 37, 3649-3680 (2004).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

M. D. Girardeau, E. M. Wright, and J. M. Triscari, "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap," Phys. Rev. A 63, 033601/1-6 (2001).

[CrossRef]

M. D. Girardeau and E. M. Wright, "Breakdown of time-dependent mean field theory for a one-dimensional condensate of impenetrable bosons," Phys. Rev. Lett. 84, 5239-5243 (2000).

[CrossRef]
[PubMed]

M. D. Girardeau, "Relationship between systems of impenetrable bosons and fermions in one dimension," J. Math. Phys. 1, 516-523 (1960).

[CrossRef]

K. V. Krutitsky, M. Timmer, and R. Graham, "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices," Phys. Rev. A 71, 033623/1-4 (2005).

[CrossRef]

K. V. Krutitsky and R. Graham, "Spin-1 bosons with coupled ground states in optical lattice," Phys. Rev. A 70, 063610/1-10 (2004).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

P. Jain and C. W. Gardiner, "A phase-space method for Bose-Hubbard model: application to mean-field models," J. Phys. B 37, 3649-3680 (2004).

[CrossRef]

S. R. Clark and D. Jaksch, "Dynamics of the superfluid to Mott-insulator transition in one dimension," Phys. Rev. A 70, 043612/1-13 (2004).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, "Revealing the superfluid-Mott-insulator transition in an optical lattice," Phys. Rev. A 66, 031601(R)/l-4 (2002).

[CrossRef]

S. Tsuchiya, S. Kurihara, and T. Kimura, "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice," Phys. Rev. A 70, 043628/1-11 (2004).

[CrossRef]

A. Buchleitner and A. Kolovsky, "Interaction-induced decoherence of atomic Bloch oscillations," Phys. Rev. Lett. 91, 253002/1-4 (2003).

[CrossRef]

K. V. Krutitsky, M. Timmer, and R. Graham, "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices," Phys. Rev. A 71, 033623/1-4 (2005).

[CrossRef]

K. V. Krutitsky and R. Graham, "Spin-1 bosons with coupled ground states in optical lattice," Phys. Rev. A 70, 063610/1-10 (2004).

[CrossRef]

T. D. Kühner, S. R. White, and H. Monien, "One-dimensional Bose-Hubbard model with nearest-neighbor interaction," Phys. Rev. B 61, 12474-12489 (2000).

[CrossRef]

S. Tsuchiya, S. Kurihara, and T. Kimura, "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice," Phys. Rev. A 70, 043628/1-11 (2004).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

E. H. Lieb, "Exact analysis of an interacting Bose gas. II. The excitation spectrum," Phys. Rev. 130, 1616-1624 (1963).

[CrossRef]

E. H. Lieb and W. Liniger, "Exact analysis of an interacting Bose gas. I. The general solution and the ground state," Phys. Rev. 130, 1605-1616 (1963).

[CrossRef]

E. H. Lieb and W. Liniger, "Exact analysis of an interacting Bose gas. I. The general solution and the ground state," Phys. Rev. 130, 1605-1616 (1963).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

C. Menotti, A. Smerzi, and A. Trombettoni, "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential," New J. Phys. 5, 112/1-20 (2003).

[CrossRef]

T. D. Kühner, S. R. White, and H. Monien, "One-dimensional Bose-Hubbard model with nearest-neighbor interaction," Phys. Rev. B 61, 12474-12489 (2000).

[CrossRef]

M. Rigol and A. Muramatsu, "Ground-state properties of hard-core bosons confined on one-dimensional optical lattices," Phys. Rev. A 72, 013604/1-13 (2005).

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

L. Amico and V. Penna, "Time-dependent mean-field theory of the superfluid-insulator phase transition," Phys. Rev. B 62, 1224-1237 (2000).

[CrossRef]

L. Amico and V. Penna, "Dynamical mean field theory of the Bose-Hubbard model," Phys. Rev. Lett. 80, 2189-2192 (1998).

[CrossRef]

A. Polkovnikov and D. W. Wang, "Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices," Phys. Rev. Lett. 93, 070401/1-4 (2004).

[CrossRef]

V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, "Revealing the superfluid-Mott-insulator transition in an optical lattice," Phys. Rev. A 66, 031601(R)/l-4 (2002).

[CrossRef]

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

M. Rigol and A. Muramatsu, "Ground-state properties of hard-core bosons confined on one-dimensional optical lattices," Phys. Rev. A 72, 013604/1-13 (2005).

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

D. C. Roberts and K. Burnett, "Probing states in the Mott insulator regime in the case of coherent bosons trapped in an optical lattice," Phys. Rev. Lett. 90, 150401/1-4 (2003).

[CrossRef]

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

C. Menotti, A. Smerzi, and A. Trombettoni, "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential," New J. Phys. 5, 112/1-20 (2003).

[CrossRef]

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

D. van Oosten, P. van der Straten, and H. T. C. Stoof, "Quantum phases in an optical lattice," Phys. Rev. A 63, 053601/1-12 (2001).

[CrossRef]

A. A. Svidzinsky and S. T. Chui, "Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field," Phys. Rev. A 68, 043612/1-8 (2003).

[CrossRef]

V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, "Revealing the superfluid-Mott-insulator transition in an optical lattice," Phys. Rev. A 66, 031601(R)/l-4 (2002).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

K. V. Krutitsky, M. Timmer, and R. Graham, "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices," Phys. Rev. A 71, 033623/1-4 (2005).

[CrossRef]

L. Tonks, "The complete equation of state of one, two and three-dimensional gases of hard elastic spheres," Phys. Rev. 50, 955-963 (1936).

[CrossRef]

M. D. Girardeau, E. M. Wright, and J. M. Triscari, "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap," Phys. Rev. A 63, 033601/1-6 (2001).

[CrossRef]

C. Menotti, A. Smerzi, and A. Trombettoni, "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential," New J. Phys. 5, 112/1-20 (2003).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

S. Tsuchiya, S. Kurihara, and T. Kimura, "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice," Phys. Rev. A 70, 043628/1-11 (2004).

[CrossRef]

D. van Oosten, P. van der Straten, and H. T. C. Stoof, "Quantum phases in an optical lattice," Phys. Rev. A 63, 053601/1-12 (2001).

[CrossRef]

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

D. van Oosten, P. van der Straten, and H. T. C. Stoof, "Quantum phases in an optical lattice," Phys. Rev. A 63, 053601/1-12 (2001).

[CrossRef]

A. Polkovnikov and D. W. Wang, "Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices," Phys. Rev. Lett. 93, 070401/1-4 (2004).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

T. D. Kühner, S. R. White, and H. Monien, "One-dimensional Bose-Hubbard model with nearest-neighbor interaction," Phys. Rev. B 61, 12474-12489 (2000).

[CrossRef]

M. D. Girardeau, E. M. Wright, and J. M. Triscari, "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap," Phys. Rev. A 63, 033601/1-6 (2001).

[CrossRef]

M. D. Girardeau and E. M. Wright, "Breakdown of time-dependent mean field theory for a one-dimensional condensate of impenetrable bosons," Phys. Rev. Lett. 84, 5239-5243 (2000).

[CrossRef]
[PubMed]

Y. Wu and X. Yang, "Analytical results for energy spectrum and eigenstates of Bose-Einstein condensate in Mott insulator state," Phys. Rev. A 68, 013608/1-7 (2003).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

Y. Wu and X. Yang, "Analytical results for energy spectrum and eigenstates of Bose-Einstein condensate in Mott insulator state," Phys. Rev. A 68, 013608/1-7 (2003).

[CrossRef]

J. Zakrzewski, "Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms," Phys. Rev. A 71, 043601/1-7 (2005).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

W. Zwerger, "Mott-Hubbard transition of cold atoms in optical lattices," J. Opt. 5, S9-S16 (2003).

[CrossRef]

M. D. Girardeau, "Relationship between systems of impenetrable bosons and fermions in one dimension," J. Math. Phys. 1, 516-523 (1960).

[CrossRef]

W. Zwerger, "Mott-Hubbard transition of cold atoms in optical lattices," J. Opt. 5, S9-S16 (2003).

[CrossRef]

P. Jain and C. W. Gardiner, "A phase-space method for Bose-Hubbard model: application to mean-field models," J. Phys. B 37, 3649-3680 (2004).

[CrossRef]

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 413, 39-44 (2002).

[CrossRef]

C. Menotti, A. Smerzi, and A. Trombettoni, "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential," New J. Phys. 5, 112/1-20 (2003).

[CrossRef]

L. Tonks, "The complete equation of state of one, two and three-dimensional gases of hard elastic spheres," Phys. Rev. 50, 955-963 (1936).

[CrossRef]

E. H. Lieb and W. Liniger, "Exact analysis of an interacting Bose gas. I. The general solution and the ground state," Phys. Rev. 130, 1605-1616 (1963).

[CrossRef]

E. H. Lieb, "Exact analysis of an interacting Bose gas. II. The excitation spectrum," Phys. Rev. 130, 1616-1624 (1963).

[CrossRef]

M. D. Girardeau, E. M. Wright, and J. M. Triscari, "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap," Phys. Rev. A 63, 033601/1-6 (2001).

[CrossRef]

V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, "Revealing the superfluid-Mott-insulator transition in an optical lattice," Phys. Rev. A 66, 031601(R)/l-4 (2002).

[CrossRef]

M. Rigol and A. Muramatsu, "Ground-state properties of hard-core bosons confined on one-dimensional optical lattices," Phys. Rev. A 72, 013604/1-13 (2005).

J. Zakrzewski, "Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms," Phys. Rev. A 71, 043601/1-7 (2005).

[CrossRef]

S. R. Clark and D. Jaksch, "Dynamics of the superfluid to Mott-insulator transition in one dimension," Phys. Rev. A 70, 043612/1-13 (2004).

[CrossRef]

D. van Oosten, P. van der Straten, and H. T. C. Stoof, "Quantum phases in an optical lattice," Phys. Rev. A 63, 053601/1-12 (2001).

[CrossRef]

D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, "Ultracold atoms in optical lattices," Phys. Rev. A 68, 043623/1-13 (2003).

[CrossRef]

Y. Wu and X. Yang, "Analytical results for energy spectrum and eigenstates of Bose-Einstein condensate in Mott insulator state," Phys. Rev. A 68, 013608/1-7 (2003).

[CrossRef]

A. A. Svidzinsky and S. T. Chui, "Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field," Phys. Rev. A 68, 043612/1-8 (2003).

[CrossRef]

S. Tsuchiya, S. Kurihara, and T. Kimura, "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice," Phys. Rev. A 70, 043628/1-11 (2004).

[CrossRef]

S. Jin, J.-M. Hou, B.-H. Xie, L.-J. Tian, and M.-L. Ge, "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field," Phys. Rev. A 70, 023605/1-8 (2004).

[CrossRef]

K. V. Krutitsky and R. Graham, "Spin-1 bosons with coupled ground states in optical lattice," Phys. Rev. A 70, 063610/1-10 (2004).

[CrossRef]

K. V. Krutitsky, M. Timmer, and R. Graham, "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices," Phys. Rev. A 71, 033623/1-4 (2005).

[CrossRef]

M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, "Boson localization and the superfluid-insulator transition," Phys. Rev. B 40, 546-570 (1989).

[CrossRef]

T. D. Kühner, S. R. White, and H. Monien, "One-dimensional Bose-Hubbard model with nearest-neighbor interaction," Phys. Rev. B 61, 12474-12489 (2000).

[CrossRef]

L. Amico and V. Penna, "Time-dependent mean-field theory of the superfluid-insulator phase transition," Phys. Rev. B 62, 1224-1237 (2000).

[CrossRef]

A. Buchleitner and A. Kolovsky, "Interaction-induced decoherence of atomic Bloch oscillations," Phys. Rev. Lett. 91, 253002/1-4 (2003).

[CrossRef]

M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, "Collective oscillations of strongly correlated one-dimensional bosons on a lattice," Phys. Rev. Lett. 95, 110402/1-4 (2005).

[CrossRef]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, "Cold bosonic atoms in optical lattices," Phys. Rev. Lett. 81, 3108-3111 (1998).

[CrossRef]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, "Atomic Bose and Anderson glasses in optical lattices," Phys. Rev. Lett. 91, 080403/1-4 (2003).

[CrossRef]

A. Polkovnikov and D. W. Wang, "Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices," Phys. Rev. Lett. 93, 070401/1-4 (2004).

[CrossRef]

D. C. Roberts and K. Burnett, "Probing states in the Mott insulator regime in the case of coherent bosons trapped in an optical lattice," Phys. Rev. Lett. 90, 150401/1-4 (2003).

[CrossRef]

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, "Mott domains of bosons confined on optical lattices," Phys. Rev. Lett. 89, 117203/1-4 (2000).

L. Amico and V. Penna, "Dynamical mean field theory of the Bose-Hubbard model," Phys. Rev. Lett. 80, 2189-2192 (1998).

[CrossRef]

R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).

[CrossRef]

M. D. Girardeau and E. M. Wright, "Breakdown of time-dependent mean field theory for a one-dimensional condensate of impenetrable bosons," Phys. Rev. Lett. 84, 5239-5243 (2000).

[CrossRef]
[PubMed]