Transition temperature of the homogeneous imperfect Bose gas
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912049519394816 |
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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 |