Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states

被引：208

作者：

Murg, V.

Verstraete, F.

Cirac, J. I.

机构：

[1] Max Planck Inst Quantenop, D-85748 Garching, Germany

[2] Univ Vienna, Fak Phys, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW A | 2007年 / 75卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.75.033605

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We have studied the system of hard-core bosons on a two-dimensional optical lattice using a variational algorithm based on projected entangled-pair states. We have investigated the ground-state properties of the system as well as the responses of the system to sudden changes in the parameters. We have compared our results to mean-field results based on a Gutzwiller ansatz.

引用

收藏

页数：8

相关论文

共 19 条

[1] Bose-Einstein quantum phase transition in an optical lattice model [J].

Aizenman, M ;

Lieb, EH ;

Seiringer, R ;

Solovej, JP ;

Yngvason, J .

PHYSICAL REVIEW A, 2004, 70 (02) :023612-1

[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] Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces -: art. no. P04005 [J].

Daley, AJ ;

Kollath, C ;

Schollwöck, U ;

Vidal, G .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,

[4]

FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]

[5] RELATIONSHIP BETWEEN SYSTEMS OF IMPENETRABLE BOSONS AND FERMIONS IN ONE DIMENSION [J].

GIRARDEAU, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1960, 1 (06) :516-523

[6] 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

[7] Exploring phase coherence in a 2D lattice of Bose-Einstein condensates -: art. no. 160405 [J].

Greiner, M ;

Bloch, I ;

Mandel, O ;

Hänsch, TW ;

Esslinger, T .

PHYSICAL REVIEW LETTERS, 2001, 87 (16)

[8] Variational treatment of the Shastry-Sutherland antiferromagnet using projected entangled pair states [J].

Isacsson, A. ;

Syljuasen, Olav F. .

PHYSICAL REVIEW E, 2006, 74 (02)

[9] 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

[10] Creation of a molecular condensate by dynamically melting a Mott insulator [J].

Jaksch, D ;

Venturi, V ;

Cirac, JI ;

Williams, CJ ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 2002, 89 (04)