Modification of directed-loop algorithm for continuous space simulation of bosonic systems

被引：21

作者：

Kato, Yasuyuki ^{[1
]}

Suzuki, Takafumi ^{[1
]}

Kawashima, Naoki ^{[1
]}

机构：

[1] Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan

来源：

PHYSICAL REVIEW E | 2007年 / 75卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.75.066703

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We modify the directed-loop algorithm (DLA) to solve the problem that typically arises from large on-site interaction. The large on-site interaction is inevitable when one tries to simulate a Bose gas system in continuum by discretizing the space with small lattice spacings. While the efficiency of a straightforward application of DLA decreases as the mesh becomes finer, the performance of the new method does not depend on it except for the trivial factor due to the increase in the number of lattice points.

引用

页数：8

共 16 条

[1] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].

ANDERSON, MH ;

ENSHER, JR ;

MATTHEWS, MR ;

WIEMAN, CE ;

CORNELL, EA .

SCIENCE, 1995, 269 (5221) :198-201

[2] Supersolid phase of hard-core bosons on a triangular lattice [J].

Boninsegni, M ;

Prokof'ev, N .

PHYSICAL REVIEW LETTERS, 2005, 95 (23)

[3] Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations [J].

Boninsegni, M. ;

Prokof'ev, N. V. ;

Svistunov, B. V. .

PHYSICAL REVIEW E, 2006, 74 (03)

[4] Worm algorithm for continuous-space path integral Monte Carlo simulations [J].

Boninsegni, M ;

Prokof'ev, N ;

Svistunov, B .

PHYSICAL REVIEW LETTERS, 2006, 96 (07)

[5] PATH-INTEGRALS IN THE THEORY OF CONDENSED HELIUM [J].

CEPERLEY, DM .

REVIEWS OF MODERN PHYSICS, 1995, 67 (02) :279-355

[6] Theory of Bose-Einstein condensation in trapped gases [J].

Dalfovo, F ;

Giorgini, S ;

Pitaevskii, LP ;

Stringari, S .

REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512

[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] High-precision monte carlo study of the 3D XY-universality class [J].

Hasenbusch, M ;

Török, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (36) :6361-6371

[9] Persistent supersolid phase of hard-core bosons on the triangular lattice [J].

Heidarian, D ;

Damle, K .

PHYSICAL REVIEW LETTERS, 2005, 95 (12)

[10] Recent developments of world-line Monte Carlo methods [J].

Kawashima, N ;

Harada, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (06) :1379-1414

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