Absence of charged pion condensation in a magnetic field with parallel rotation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915937497645056 |
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| author | Bai, Puyuan He, Lianyi |
| author_facet | Bai, Puyuan He, Lianyi |
| contents | We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the critical temperature can only be determined for a system with fixed angular momentum. We find that the critical temperature of the non-interacting system vanishes due to the fact that the system is quasi-one-dimensional, indicating that non-interacting bosons cannot undergo Bose-Einstein condensation. For interacting bosons, we investigate a system with quartic self-interaction. We show that the order parameter vanishes and the off-diagonal long-range order is absent at any nonzero temperature because of the quasi-one-dimensional feature, in accordance with the Coleman-Mermin-Wagner-Hohenberg theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07473 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absence of charged pion condensation in a magnetic field with parallel rotation Bai, Puyuan He, Lianyi Nuclear Theory Quantum Gases High Energy Physics - Theory We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the critical temperature can only be determined for a system with fixed angular momentum. We find that the critical temperature of the non-interacting system vanishes due to the fact that the system is quasi-one-dimensional, indicating that non-interacting bosons cannot undergo Bose-Einstein condensation. For interacting bosons, we investigate a system with quartic self-interaction. We show that the order parameter vanishes and the off-diagonal long-range order is absent at any nonzero temperature because of the quasi-one-dimensional feature, in accordance with the Coleman-Mermin-Wagner-Hohenberg theorem. |
| title | Absence of charged pion condensation in a magnetic field with parallel rotation |
| topic | Nuclear Theory Quantum Gases High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.07473 |