THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND

被引：7

作者：

Deuchert, Andreas ^{[1
,2
]}

Mayer, Simon ^{[2
]}

Seiringer, Robert ^{[2
]}

机构：

[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[2] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria

来源：

FORUM OF MATHEMATICS SIGMA | 2020年 / 8卷

基金：

欧洲研究理事会;

关键词：

GROUND-STATE ENERGY; LONG-RANGE ORDER; EINSTEIN CONDENSATION; SYSTEM; EXISTENCE; PRESSURE; DENSITY;

D O I：

10.1017/fms.2020.17

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density and inverse temperature fi differs from the one of the noninteracting system by the correction term 4 2 jln a2 j 1.2 T1 fi c=fiU2 C/. Here, a is the scattering length of the interaction potential, TU C D max f0; g and fi c is the inverse Berezinskii-Kosterlitz-Thouless critical temperature for superfluidity. The result is valid in the dilute limit a2 1 and if fi & greater than or similar to 1.

引用

页数：74

共 48 条

[1] Ground state pressure and energy density of an interacting homogeneous Bose gas in two dimensions [J].