메뉴 건너뛰기




Volumn 23, Issue 9, 2006, Pages 1888-1893

Bose-Hubbard model on a ring: Analytical results in a strong interaction limit and incommensurate filling

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; EXCITONS; GROUND STATE; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; STORAGE RINGS;

EID: 33749683941     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.001888     Document Type: Article
Times cited : (13)

References (34)
  • 2
    • 33645215486 scopus 로고
    • "Boson localization and the superfluid-insulator transition"
    • 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).
    • (1989) Phys. Rev. B , vol.40 , pp. 546-570
    • Fisher, M.P.A.1    Weichman, P.B.2    Grinstein, G.3    Fisher, D.S.4
  • 3
    • 0037011956 scopus 로고    scopus 로고
    • "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, "Quantum phase transition from a superfluid to a Mott-insulator in a gas of ultracold atoms," Nature 413, 39-44 (2002).
    • (2002) Nature , vol.413 , pp. 39-44
    • Greiner, M.1    Mandel, O.2    Esslinger, T.3    Hänsch, T.W.4    Bloch, I.5
  • 4
    • 19744375073 scopus 로고    scopus 로고
    • "Dynamics of the superfluid to Mott-insulator transition in one dimension"
    • 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).
    • (2004) Phys. Rev. A , vol.70
    • Clark, S.R.1    Jaksch, D.2
  • 7
    • 0141572532 scopus 로고    scopus 로고
    • "Analytical results for energy spectrum and eigenstates of Bose-Einstein condensate in Mott insulator state"
    • 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).
    • (2003) Phys. Rev. A , vol.68
    • Wu, Y.1    Yang, X.2
  • 8
    • 5444259120 scopus 로고    scopus 로고
    • "Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field"
    • 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).
    • (2003) Phys. Rev. A , vol.68
    • Svidzinsky, A.A.1    Chui, S.T.2
  • 9
    • 19744382471 scopus 로고    scopus 로고
    • "Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice"
    • 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).
    • (2004) Phys. Rev. A , vol.70
    • Tsuchiya, S.1    Kurihara, S.2    Kimura, T.3
  • 10
    • 19544363764 scopus 로고    scopus 로고
    • "Superfluid-Mott-insulator transition of spin-2 cold bosons in an optical lattice in a magnetic field"
    • 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).
    • (2004) Phys. Rev. A , vol.70
    • Jin, S.1    Hou, J.-M.2    Xie, B.-H.3    Tian, L.-J.4    Ge, M.-L.5
  • 11
    • 42749099613 scopus 로고    scopus 로고
    • "Spin-1 bosons with coupled ground states in optical lattice"
    • K. V. Krutitsky and R. Graham, "Spin-1 bosons with coupled ground states in optical lattice," Phys. Rev. A 70, 063610/1-10 (2004).
    • (2004) Phys. Rev. A , vol.70
    • Krutitsky, K.V.1    Graham, R.2
  • 12
    • 18444385379 scopus 로고    scopus 로고
    • "First- and second-order superfluid-Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices"
    • 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).
    • (2005) Phys. Rev. A , vol.71
    • Krutitsky, K.V.1    Timmer, M.2    Graham, R.3
  • 13
    • 5444267993 scopus 로고    scopus 로고
    • "A phase-space method for Bose-Hubbard model: Application to mean-field models"
    • 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).
    • (2004) J. Phys. B , vol.37 , pp. 3649-3680
    • Jain, P.1    Gardiner, C.W.2
  • 14
    • 0038060583 scopus 로고    scopus 로고
    • "Mott-Hubbard transition of cold atoms in optical lattices"
    • W. Zwerger, "Mott-Hubbard transition of cold atoms in optical lattices," J. Opt. 5, S9-S16 (2003).
    • (2003) J. Opt. , vol.5
    • Zwerger, W.1
  • 16
    • 19444362933 scopus 로고    scopus 로고
    • "Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices"
    • 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).
    • (2004) Phys. Rev. Lett. , vol.93
    • Polkovnikov, A.1    Wang, D.W.2
  • 17
    • 0001572928 scopus 로고    scopus 로고
    • "One-dimensional Bose-Hubbard model with nearest-neighbor interaction"
    • 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).
    • (2000) Phys. Rev. B , vol.61 , pp. 12474-12489
    • Kühner, T.D.1    White, S.R.2    Monien, H.3
  • 18
    • 4444366494 scopus 로고    scopus 로고
    • "Time-dependent mean-field theory of the superfluid-insulator phase transition"
    • L. Amico and V. Penna, "Time-dependent mean-field theory of the superfluid-insulator phase transition," Phys. Rev. B 62, 1224-1237 (2000).
    • (2000) Phys. Rev. B , vol.62 , pp. 1224-1237
    • Amico, L.1    Penna, V.2
  • 19
    • 0942299575 scopus 로고    scopus 로고
    • "Interaction-induced decoherence of atomic Bloch oscillations"
    • A. Buchleitner and A. Kolovsky, "Interaction-induced decoherence of atomic Bloch oscillations," Phys. Rev. Lett. 91, 253002/1-4 (2003).
    • (2003) Phys. Rev. Lett. , vol.91
    • Buchleitner, A.1    Kolovsky, A.2
  • 20
    • 27144442740 scopus 로고    scopus 로고
    • "Collective oscillations of strongly correlated one-dimensional bosons on a lattice"
    • 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).
    • (2005) Phys. Rev. Lett. , vol.95
    • Rigol, M.1    Rousseau, V.2    Scalettar, R.T.3    Singh, R.R.P.4
  • 21
    • 27144462337 scopus 로고    scopus 로고
    • "Ground-state properties of hard-core bosons confined on one-dimensional optical lattices"
    • 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).
    • (2005) Phys. Rev. A , vol.72
    • Rigol, M.1    Muramatsu, A.2
  • 22
    • 26944465012 scopus 로고    scopus 로고
    • "Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms"
    • 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).
    • (2005) Phys. Rev. A , vol.71
    • Zakrzewski, J.1
  • 23
    • 3042696066 scopus 로고    scopus 로고
    • "Superfluid dynamics of a Bose-Einstein condensate in a periodic potential"
    • 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).
    • (2003) New J. Phys. , vol.5
    • Menotti, C.1    Smerzi, A.2    Trombettoni, A.3
  • 24
    • 0037526577 scopus 로고    scopus 로고
    • "Probing states in the Mott insulator regime in the case of coherent bosons trapped in an optical lattice"
    • 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).
    • (2003) Phys. Rev. Lett. , vol.90
    • Roberts, D.C.1    Burnett, K.2
  • 25
    • 0036757457 scopus 로고    scopus 로고
    • "Revealing the superfluid-Mott-insulator transition in an optical lattice"
    • 031601R
    • 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)/1-4 (2002).
    • (2002) Phys. Rev. A , vol.66 , Issue.1-4
    • Kashur nikov, V.A.1    Prokof'ev, N.V.2    Svistunov, B.V.3
  • 27
    • 0000885735 scopus 로고    scopus 로고
    • "Dynamical mean field theory of the Bose-Hubbard model"
    • L. Amico and V. Penna, "Dynamical mean field theory of the Bose-Hubbard model," Phys. Rev. Lett. 80, 2189-2192 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2189-2192
    • Amico, L.1    Penna, V.2
  • 28
    • 36149012094 scopus 로고
    • "The complete equation of state of one, two and three-dimensional gases of hard elastic spheres"
    • L. Tonks, "The complete equation of state of one, two and three-dimensional gases of hard elastic spheres," Phys. Rev. 50, 955-963 (1936).
    • (1936) Phys. Rev. , vol.50 , pp. 955-963
    • Tonks, L.1
  • 29
    • 36849136337 scopus 로고
    • "Relationship between systems of impenetrable bosons and fermions in one dimension"
    • M. D. Girardeau, "Relationship between systems of impenetrable bosons and fermions in one dimension," J. Math. Phys. 1, 516-523 (1960).
    • (1960) J. Math. Phys. , vol.1 , pp. 516-523
    • Girardeau, M.D.1
  • 30
    • 26344439240 scopus 로고
    • "Exact analysis of an interacting Bose gas. I. The general solution and the ground state"
    • 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).
    • (1963) Phys. Rev. , vol.130 , pp. 1605-1616
    • Lieb, E.H.1    Liniger, W.2
  • 31
    • 36149006296 scopus 로고
    • "Exact analysis of an interacting Bose gas. II. The excitation spectrum"
    • E. H. Lieb, "Exact analysis of an interacting Bose gas. II. The excitation spectrum," Phys. Rev. 130, 1616-1624 (1963).
    • (1963) Phys. Rev. , vol.130 , pp. 1616-1624
    • Lieb, E.H.1
  • 32
    • 0000513005 scopus 로고    scopus 로고
    • "Breakdown of time-dependent mean field theory for a one-dimensional condensate of impenetrable bosons"
    • 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).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5239-5243
    • Girardeau, M.D.1    Wright, E.M.2
  • 33
    • 33646182284 scopus 로고    scopus 로고
    • "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap"
    • 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).
    • (2001) Phys. Rev. A , vol.63
    • Girardeau, M.D.1    Wright, E.M.2    Triscari, J.M.3
  • 34
    • 33144480934 scopus 로고    scopus 로고
    • "Bose-Einstein condensates in rotating lattices"
    • R. Bhat, L. D. Carr, and M. J. Holland, "Bose-Einstein condensates in rotating lattices," Phys. Rev. Lett. 96, 060405/1-4 (2006).
    • (2006) Phys. Rev. Lett. , vol.96
    • Bhat, R.1    Carr, L.D.2    Holland, M.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.