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Signatures of rigidity and second sound in dipolar supersolids

G. A. Bougas1, T. Bland2, H. R. Sadeghpour3, and S. I. Mistakidis1

Phys. Rev. A 113, L041305 – Published 20 April, 2026

DOI: https://doi.org/10.1103/1fhc-mbbf

Abstract

We propose a dynamical protocol to probe the rigidity and phase coherence of dipolar supersolids by merging initially separated fragments in quasi-one-dimensional double-well potentials. Simulations based on the extended Gross-Pitaevskii equation reveal distinct dynamical signatures across phases. Supersolids exhibit damped crystal oscillations following barrier removal, with the damping rate reflecting superfluid connectivity. A phase-imprinted jump additionally triggers metastable dark solitary waves, which excites second sound, as revealed by an out-of-phase drift between the droplet lattice and the superfluid background. Our results show a realizable path to dynamically detect the second sound and rigidity of supersolids, as well as to realize and probe soliton formation.

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