Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 484-498 |
| Number of pages | 15 |
| Journal | Annals of Physics |
| Volume | 376 |
| DOIs | |
| Publication status | Published - 2017 Jan 1 |
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Keywords
- Bose–Einstein condensation
- Cold atom
- Finite temperature
- Quantum field theory
- Spontaneous symmetry breaking
- Zero mode
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Thermal and quantum fluctuations of confined Bose–Einstein condensate beyond the Bogoliubov approximation. / Nakamura, Y.; Kawaguchi, T.; Torii, Y.; Yamanaka, Yoshiya.
In: Annals of Physics, Vol. 376, 01.01.2017, p. 484-498.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermal and quantum fluctuations of confined Bose–Einstein condensate beyond the Bogoliubov approximation
AU - Nakamura, Y.
AU - Kawaguchi, T.
AU - Torii, Y.
AU - Yamanaka, Yoshiya
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
KW - Bose–Einstein condensation
KW - Cold atom
KW - Finite temperature
KW - Quantum field theory
KW - Spontaneous symmetry breaking
KW - Zero mode
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UR - http://www.scopus.com/inward/citedby.url?scp=85009494360&partnerID=8YFLogxK
U2 - 10.1016/j.aop.2016.12.020
DO - 10.1016/j.aop.2016.12.020
M3 - Article
AN - SCOPUS:85009494360
VL - 376
SP - 484
EP - 498
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
ER -