Equation of state of a weakly interacting two-dimensional Bose gas studied at zero temperature by means of quantum Monte Carlo methods

被引:36
作者
Astrakharchik, G. E. [1 ]
Boronat, J. [1 ]
Casulleras, J. [1 ]
Kurbakov, I. L. [2 ]
Lozovik, Yu. E. [2 ]
机构
[1] Univ Politecn Cataluna, Dept Fis & Engn Nucl, E-08034 Barcelona, Spain
[2] Russian Acad Sci, Inst Spect, Troitsk 142190, Moscow Region, Russia
来源
PHYSICAL REVIEW A | 2009年 / 79卷 / 05期
关键词
boson systems; equations of state; many-body problems; Monte Carlo methods; perturbation theory; GROUND-STATE; SYSTEMS;
D O I
10.1103/PhysRevA.79.051602
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The equation of state of a weakly interacting two-dimensional Bose gas is studied at zero temperature by means of quantum Monte Carlo methods. Going down to as low densities as na(2)proportional to 10(-100) permits us to obtain agreement on beyond mean-field level between predictions of perturbative methods and direct many-body numerical simulation, thus providing an answer to the fundamental question of the equation of state of a two-dimensional dilute Bose gas in the universal regime (i.e., entirely described by the gas parameter na(2)). We also show that the measure of the frequency of a breathing collective oscillation in a trap at very low densities can be used to test the universal equation of state of a two-dimensional Bose gas.
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页数:4
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