Thermal Casimir effect in the spin-orbit coupled Bose gas
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914432181862400 |
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| author | Napiórkowski, Marek Jakubczyk, Pawel |
| author_facet | Napiórkowski, Marek Jakubczyk, Pawel |
| contents | We study the thermal Casimir effect in ideal Bose gases with spin-orbit (S-O) coupling of Rashba type below the critical temperature for Bose-Einstein condensation. In contrast to the standard situation involving no S-O coupling, the system exhibits long-ranged Casimir forces both in two and three dimensions ($d=2$ and $d=3$). We identify the relevant scaling variable involving the ratio $D/ν$ of the separation between the confining walls $D$ and the S-O coupling magnitude $ν$. We derive and discuss the corresponding scaling functions for the Casimir energy. In all the considered cases the resulting Casimir force is attractive and the S-O coupling $ν$ has impact on its magnitude. In $d=3$ the exponent governing the decay of the Casimir force becomes modified by the presence of the S-O coupling, and its value depends on the orientation of the confining walls relative to the plane defined by the Rashba coupling. In $d=2$ the obtained Casimir force displays singular behavior in the limit of vanishing $ν$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal Casimir effect in the spin-orbit coupled Bose gas Napiórkowski, Marek Jakubczyk, Pawel Quantum Gases Statistical Mechanics Quantum Physics We study the thermal Casimir effect in ideal Bose gases with spin-orbit (S-O) coupling of Rashba type below the critical temperature for Bose-Einstein condensation. In contrast to the standard situation involving no S-O coupling, the system exhibits long-ranged Casimir forces both in two and three dimensions ($d=2$ and $d=3$). We identify the relevant scaling variable involving the ratio $D/ν$ of the separation between the confining walls $D$ and the S-O coupling magnitude $ν$. We derive and discuss the corresponding scaling functions for the Casimir energy. In all the considered cases the resulting Casimir force is attractive and the S-O coupling $ν$ has impact on its magnitude. In $d=3$ the exponent governing the decay of the Casimir force becomes modified by the presence of the S-O coupling, and its value depends on the orientation of the confining walls relative to the plane defined by the Rashba coupling. In $d=2$ the obtained Casimir force displays singular behavior in the limit of vanishing $ν$ |
| title | Thermal Casimir effect in the spin-orbit coupled Bose gas |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2510.26240 |