Phase diagram of rotating Bose-Einstein condensates trapped in power-law and hard-wall potentials

• URL: http://arxiv.org/abs/2603.29738v1
• Date: Tue, 31 Mar 2026 13:36:55 GMT
• Title: Phase diagram of rotating Bose-Einstein condensates trapped in power-law and hard-wall potentials
• Abstract summary: We investigate the rotational phase diagram of a weakly-interacting Bose-Einstein condensate confined in power-law and in hard-wall trapping potentials.<n>For weak interactions, the system undergoes discontinuous transitions between multiply-quantized vortex states as the rotation frequency of the trap increases.<n>Stronger interactions induce continuous phase transitions toward mixed states involving both singly and multiply-quantized vortex states.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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