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Main Authors: Van Thu, Nguyen, Thanh, Pham Duy
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.14036
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author Van Thu, Nguyen
Thanh, Pham Duy
author_facet Van Thu, Nguyen
Thanh, Pham Duy
contents Beyond standard approaches in existing literature, we explore the relative shift in the transition temperature of a homogeneous dilute Bose gas using the Cornwall-Jackiw-Tomboulis effective action formalism within the improved Hartree-Fock approximation. The first correction to the enhancement of the transition temperature, as compared to that of the ideal Bose gas, is expressed in a universal form: it is linear with respect to the scattering length. The slope of this linear relationship shows excellent agreement with the exact numerical calculations presented in previous studies. Additionally, we identify non-universal terms contributing to the shift.
format Preprint
id arxiv_https___arxiv_org_abs_2409_14036
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Transition temperature of the homogeneous imperfect Bose gas
Van Thu, Nguyen
Thanh, Pham Duy
Quantum Gases
Beyond standard approaches in existing literature, we explore the relative shift in the transition temperature of a homogeneous dilute Bose gas using the Cornwall-Jackiw-Tomboulis effective action formalism within the improved Hartree-Fock approximation. The first correction to the enhancement of the transition temperature, as compared to that of the ideal Bose gas, is expressed in a universal form: it is linear with respect to the scattering length. The slope of this linear relationship shows excellent agreement with the exact numerical calculations presented in previous studies. Additionally, we identify non-universal terms contributing to the shift.
title Transition temperature of the homogeneous imperfect Bose gas
topic Quantum Gases
url https://arxiv.org/abs/2409.14036