Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices

被引:66
作者
Alon, OE [1 ]
Streltsov, AI [1 ]
Cederbaum, LS [1 ]
机构
[1] Univ Heidelberg, Inst Phys Chem, D-69120 Heidelberg, Germany
关键词
D O I
10.1103/PhysRevLett.95.030405
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Quantum phases and phase transitions of weakly to strongly interacting bosonic atoms in deep to shallow optical lattices are described by a single multiorbital mean-field approach in real space. For weakly interacting bosons in one dimension, the critical value of the superfluid to Mott insulator (MI) transition found is in excellent agreement with many-body treatments of the Bose-Hubbard model. For strongly interacting bosons, (i) additional MI phases appear, for which two (or more) atoms residing in each site undergo a Tonks-Girardeau-like transition and localize, and (ii) on-site excitation becomes the excitation lowest in energy. Experimental implications are discussed.
引用
收藏
页数:4
相关论文
共 15 条
[1]   HIGHLY EXCITED VIBRATIONAL LEVELS OF FLOPPY TRIATOMIC-MOLECULES - A DISCRETE VARIABLE REPRESENTATION - DISTRIBUTED GAUSSIAN-BASIS APPROACH [J].
BACIC, Z ;
LIGHT, JC .
JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (08) :4594-4604
[2]   Commensurate-incommensurate transition of cold atoms in an optical lattice -: art. no. 130401 [J].
Büchler, HP ;
Blatter, G ;
Zwerger, W .
PHYSICAL REVIEW LETTERS, 2003, 90 (13) :4
[3]   Self-consistent fragmented excited states of trapped condensates [J].
Cederbaum, LS ;
Streltsov, AI .
PHYSICAL REVIEW A, 2004, 70 (02) :023610-1
[4]   Best mean-field for condensates [J].
Cederbaum, LS ;
Streltsov, AI .
PHYSICS LETTERS A, 2003, 318 (06) :564-569
[5]   Natural orbitals and Bose-Einstein condensates in traps: A diffusion Monte Carlo analysis [J].
DuBois, JL ;
Glyde, HR .
PHYSICAL REVIEW A, 2003, 68 (03) :12
[6]  
FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]
[7]   Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms [J].
Greiner, M ;
Mandel, O ;
Esslinger, T ;
Hänsch, TW ;
Bloch, I .
NATURE, 2002, 415 (6867) :39-44
[8]   Cold bosonic atoms in optical lattices [J].
Jaksch, D ;
Bruder, C ;
Cirac, JI ;
Gardiner, CW ;
Zoller, P .
PHYSICAL REVIEW LETTERS, 1998, 81 (15) :3108-3111
[9]   Bose-Einstein condensates in 1D optical lattices -: Compressibility, Bloch bands and elementary excitations [J].
Krämer, M ;
Menotti, C ;
Pitaevskii, L ;
Stringari, S .
EUROPEAN PHYSICAL JOURNAL D, 2003, 27 (03) :247-261
[10]   Bose-Einstein condensation in the alkali gases: Some fundamental concepts [J].
Leggett, AJ .
REVIEWS OF MODERN PHYSICS, 2001, 73 (02) :307-356