Thermal and quantum fluctuations of confined Bose-Einstein condensate beyond the Bogoliubov approximation

被引：4

作者：

Nakamura, Y. ^{[1
,2
]}

Kawaguchi, T. ^{[1
]}

Torii, Y. ^{[1
]}

Yamanaka, Y. ^{[1
]}

机构：

[1] Waseda Univ, Dept Elect & Phys Syst, Tokyo 1698555, Japan

[2] Nagano Prefectural Kiso Seiho High Sch, Nagano 3978571, Japan

来源：

ANNALS OF PHYSICS | 2017年 / 376卷

关键词：

Bose-Einstein condensation; Quantum field theory; Zero mode; Cold atom; Spontaneous symmetry breaking; Finite temperature; GAS; ZERO;

D O I：

10.1016/j.aop.2016.12.020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y. Nakamura et al., Phys. Rev. A 89 (2014) 013613] is extended to finite temperature. Both thermal and quantum fluctuations are considered in a manner consistent with a concept of spontaneous symmetry breakdown for a finite-size system. Therefore, we need a proper treatment of the zero mode operators, which invoke non-trivial enhancements in depletion condensate and thermodynamical quantities such as the specific heat. The enhancements are visible in the weak interaction case. Our approach reproduces the results of a homogeneous system in the Bogoliubov approximation in a large particle number limit. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：484 / 498

页数：15

共 50 条

[1] Bogoliubov space of a Bose-Einstein condensate and quantum spacetime fluctuations
Rivas, J. I.
Camacho, A.
Goeklue, E.
[J]. CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (16)
[2] Bogoliubov space of a Bose-Einstein condensate and quantum spacetime fluctuations
Rivas, J. I.
Camacho, A.
Goklu, E.
[J]. IX WORKSHOP OF THE GRAVITATION AND MATHEMATICAL PHYSICS DIVISION OF THE MEXICAN PHYSICAL SOCIETY, 2012, 1473 : 233 - 237
[3] Formulation for the zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation
Nakamura, Y.
Takahashi, J.
Yamanaka, Y.
[J]. PHYSICAL REVIEW A, 2014, 89 (01):
[4] Correlation functions for a Bose-Einstein condensate in the Bogoliubov approximation
Montina, A
Arimondo, E
[J]. EUROPEAN PHYSICAL JOURNAL D, 2001, 14 (01): : 105 - 110
[5] Correlation functions for a Bose-Einstein condensate in the Bogoliubov approximation
A. Montina
E. Arimondo
[J]. The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2001, 14 : 105 - 110
[6] Fluctuations of Bose-Einstein condensate
Gajda, M
Rzazewski, K
[J]. PHYSICAL REVIEW LETTERS, 1997, 78 (14) : 2686 - 2689
[7] Fluctuations of the Bose-Einstein condensate
Chatterjee, Sourav
Diaconis, Persi
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (08)
[8] Bogoliubov theory of entanglement in a Bose-Einstein condensate
Sorensen, AS
[J]. PHYSICAL REVIEW A, 2002, 65 (04): : 13
[9] Quantum fluctuations of a vortex in a dilute Bose-Einstein condensate
Dziarmaga, J
Meisner, J
[J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2005, 38 (23) : 4211 - 4219
[10] Quantum chaos of Bogoliubov waves for a Bose-Einstein condensate in stadium billiards
Zhang, CW
Liu, J
Raizen, MG
Niu, Q
[J]. PHYSICAL REVIEW LETTERS, 2004, 93 (07) : 074101 - 1

← 1 2 3 4 5 →