Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914546701041664 |
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| author | Van Thu, Nguyen Thanh, Pham Duy Thuy, Lo Thi |
| author_facet | Van Thu, Nguyen Thanh, Pham Duy Thuy, Lo Thi |
| contents | This study utilizes the Cornwall-Jackiw-Tomboulis effective action approach combined with variational perturbation theory to investigate the relative shift in the transition temperature of a homogeneous, repulsive, weakly interacting Bose gas compared to that of an ideal Bose gas. By applying both the one-loop and self-consistent Popov approximations, the universal form of the relative shift in the transition temperature is derived, demonstrating its proportionality to the s-wave scattering length. The results exhibit excellent agreement with those obtained from precise Monte Carlo simulations. Furthermore, the zero-point energy and various thermodynamic properties are examined in both the condensed and normal phases. A comparison with experimental data reveals an excellent agreement, further validating the findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation Van Thu, Nguyen Thanh, Pham Duy Thuy, Lo Thi Quantum Gases This study utilizes the Cornwall-Jackiw-Tomboulis effective action approach combined with variational perturbation theory to investigate the relative shift in the transition temperature of a homogeneous, repulsive, weakly interacting Bose gas compared to that of an ideal Bose gas. By applying both the one-loop and self-consistent Popov approximations, the universal form of the relative shift in the transition temperature is derived, demonstrating its proportionality to the s-wave scattering length. The results exhibit excellent agreement with those obtained from precise Monte Carlo simulations. Furthermore, the zero-point energy and various thermodynamic properties are examined in both the condensed and normal phases. A comparison with experimental data reveals an excellent agreement, further validating the findings. |
| title | Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2412.02269 |