Bogoliubov approach to superfluidity of atoms in an optical lattice

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 36, Issue 5, 2003, Pages 825-841

  Rey, Ana Maria ^a   Burnett, Keith ^b   Roth, Robert ^b   Edwards, Mark ^c   Williams, Carl J ^a   Clark, Charles W ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c GEORGIA SOUTHERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; NUMERICAL METHODS; PHASE TRANSITIONS; RIGIDITY; SUPERFLUID HELIUM;

MOTT INSULATOR TRANSITION; OPTICAL LATTICE; SUPERFLUID DENSITY;

ATOMIC PHYSICS;

EID: 0037436568     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/36/5/304     Document Type: Article

References (28)

1. Orzel C, Tuchman A K, Fenselau M L, Yasuda M and Kasevich M A 2001 Squeezed states in a Bose-Einstein condensate Science 291 2386
2. Greiner M, Mandel O, Esslinger T, Hänsch T W and Bloch I 2002 Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms Nature 415 39
3. Bogoliubov N N 1947 On the theory of superfluidity J. Phys. (USSR) 11 23
4. van Oosten D, van der Straten P and Stoof H T C 2001 Quantum phases in an optical lattice Phys. Rev. A 63 053601
5. Burnett K, Edwards M, Clark C W and Shotter M 2002 The Bogoliubov approach to number squeezing in an optical lattice J. Phys. B: At. Mol. Opt. Phys. 35 1671
6. Javanainen J and Ivanov M Yu 1999 Splitting a trap containing a Bose-Einstein condensate: atom number fluctuations Phys. Rev. A 60 2351
7. Javanainen J 1999 Phonon approach to an array of traps containing Bose-Einstein condensates Phys. Rev. A 60 4902
8. Shotter M 2002 A Gutzwiller approach to squeezed states in an optical lattice J. Phys. B: At. Mol. Opt. Phys. 35 3019-28
9. Baym G 2001 Topics in the microscopic theory of Bose-Einstein condensates J. Phys. B: At. Mol. Opt. Phys. 34 4541-50
10. Roth R and Burnett K 2002 Superfluidity and interference pattern of ultracold bosons in optical lattices Preprint cond-mat/0209066
11. Jaksch D, Bruder C, Gardiner C W, Cirac J I and Zoller P 1998 Cold bosonic atoms in optical lattices Phys. Rev. Lett. 81 3108
12. Fisher M E, Barber M N and Jasnow D 1973 Helicity modulus, superfluidity, and scaling in isotropic systems Phys. Rev. A 8 1111
13. Shastry B S and Sutherland B 1993 Insulator, metal or superconductor: the criteria Phys. Rev. B 47 7995
14. Rolston S et al 2002 private communication
15. Legett A J 1999 Superfluidity Rev. Mod. Phys. 71 S318
16. Lifshitz E M and Pitaevskii L 1980 Statistical Physics part 2 (Oxford: Pergamon)
17. Poilblanc D 1999 Twisted boundary conditions in cluster calculations of the optical conductivity in two-dimensional lattice models Phys. Rev. B 44 9562
18. Shastry B S and Sutherland B 1990 Twisted boundary conditions and effective mass in Heisenberg-Ising and Hubbard rings Phys. Rev. Lett. 65 243
19. Amico L and Penna V 2000 Time dependent mean-field theory of superfluid-insulator phase transition Phys. Rev. B 62 1224
20. Popov V N 1987 Functional Integrals and Collective Modes (New York: Cambridge University Press)
21. Proukakis N P, Morgan S A, Choi S and Burnett K 1998 Comparison of gapless mean-field theories for trapped Bose-Einstein condensates Phys. Rev. A 58 2435
22. Griffin A 1995 Conserving and gapless approximation for an inhomogeneous approximation Bose gas at finite temperature Phys. Rev. B 53 9341
23. Morgan S A 1999 A gapless theory of Bose-Einstein condensation in dilute gases at finite temperature D Phil. Thesis Oxford University
24. Dodd R J, Edwards M, Clark C W and Burnett K 1998 Collective excitations of Bose-Einstein-condensed gases at finite temperature Phys. Rev. A 57 R32
25. Kashurnikov V A, Prokof'ev N V and Svistunov B V 2002 Revealing superfluid-Mott-insulator transition in an optical lattice Preprint cond-mat/0202510
26. Batrouni G G et al 2002 Mott domains of bosons confined on optical lattices Phys. Rev. Lett. 89 117203
27. Fisher M P A, Weichman P B, Grinstein G and Fisher D S 1989 Boson localization and the superfluid-insulator transition Phys. Rev. B 40 546
28. Batrouni G G, Scalettar R T and Zymanyi G T 1990 Quantum critical phenomena in one-dimensional Bose systems Phys. Rev. Lett. 65 1765