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Vorticity-Crystalline Order Coupling in Supersolids: Excitations and Reentrant Phases

M. Schubert1,*, K. Mukherjee2,1, P. Stürmer1, and S. M. Reimann1

  • *Contact author: malte.schubert@fysik.lu.se

Phys. Rev. Lett. 136, 183401 – Published 8 May, 2026

DOI: https://doi.org/10.1103/gqlr-bgj8

Abstract

Rotation is a natural tool in ultracold gases to break time-reversal symmetry, yet its impact on the collective excitations of supersolids remains largely unexplored. We show theoretically that tuning the rotation frequency, rather than the interparticle interactions, can trigger the superfluid-to-supersolid transition in Bose-Einstein condensates. Computing excitation spectra in the presence of vortices and persistent currents, we uncover a vortex-driven desoftening mechanism whereby quantized vorticity elevates the gapless Goldstone mode to a finite-energy roton, restoring superfluidity. This effect results in reentrant supersolid phases as a function of rotation frequency, revealing a fundamental coupling between topological defects and crystalline order.

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