Phase diagram of rotating Bose-Einstein condensates trapped in power-law and hard-wall potentials
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915902806556672 |
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| author | Kavoulakis, G. M. |
| author_facet | Kavoulakis, G. M. |
| contents | We investigate the rotational phase diagram of a quasi-two-dimensional, weakly-interacting Bose-Einstein condensate confined in power-law and in hard-wall trapping potentials. For weak interactions, the system undergoes discontinuous transitions between multiply-quantized vortex states as the rotation frequency of the trap increases. In contrast, stronger interactions induce continuous phase transitions toward mixed states involving both singly and multiply-quantized vortex states. A central result is the qualitative (and experimentally observable) difference between power-law and hard-wall confinement: In hard-wall traps, the leading instability always involves states with nonzero density at the trap center, whereas in power-law traps the density vanishes as the rotation frequency increases. The two different types of confinement give rise to scaling properties in the derived phase diagrams. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_29738 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Phase diagram of rotating Bose-Einstein condensates trapped in power-law and hard-wall potentials Kavoulakis, G. M. Quantum Gases Atomic Physics Quantum Physics We investigate the rotational phase diagram of a quasi-two-dimensional, weakly-interacting Bose-Einstein condensate confined in power-law and in hard-wall trapping potentials. For weak interactions, the system undergoes discontinuous transitions between multiply-quantized vortex states as the rotation frequency of the trap increases. In contrast, stronger interactions induce continuous phase transitions toward mixed states involving both singly and multiply-quantized vortex states. A central result is the qualitative (and experimentally observable) difference between power-law and hard-wall confinement: In hard-wall traps, the leading instability always involves states with nonzero density at the trap center, whereas in power-law traps the density vanishes as the rotation frequency increases. The two different types of confinement give rise to scaling properties in the derived phase diagrams. |
| title | Phase diagram of rotating Bose-Einstein condensates trapped in power-law and hard-wall potentials |
| topic | Quantum Gases Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2603.29738 |