Heterosymmetric states of rotating quantum droplets under confinement

• URL: http://arxiv.org/abs/2603.21395v1
• Date: Sun, 22 Mar 2026 20:43:57 GMT
• Title: Heterosymmetric states of rotating quantum droplets under confinement
• Abstract summary: We investigate the rotational response of a confined, two-dimensional quantum droplet.<n>We find that near certain half-integer values of the angular momentum the droplet is excited in a heterosymmetric" manner.<n>We additionally investigate the effects of a small population imbalance in the droplet.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the rotational response of a confined, two-dimensional quantum droplet, which emerges in an attractive binary Bose mixture that is stabilized against collapse by beyond-mean-field effects. We consider both a harmonic and an anharmonic form for the external confining potential. We go beyond the widely employed ``phase-locked" single-order-parameter model, maintaining two separate order parameters for the two components, and calculating the lowest-energy state for various values of the angular momentum. For a population-balanced quantum droplet and sufficiently tight confinement, we find that near certain half-integer values of the angular momentum the droplet is excited in a ``heterosymmetric" manner, with the two components carrying different vorticities. This mode is naturally missed by the single-order-parameter model. We additionally investigate the effects of a small population imbalance in the droplet. Apart from an energy increase associated with the population difference, the imbalance also lifts the double degeneracy of the heterosymmetric states, which characterizes the $\mathbb{Z}_2$-symmetric balanced droplet. The heterosymmetric mode is found to be favored by the energy term which captures the beyond-mean-field effects in the mixture.

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