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arXiv · 2403.19151

Sounds waves and fluctuations in one-dimensional supersolids

L. M. Platt·D. Baillie·P. B. Blakie
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Abstract

We examine the low-energy excitations of a dilute supersolid state of matter with a one-dimensional crystal structure. A hydrodynamic description is developed based on a Lagrangian, incorporating generalized elastic parameters derived from ground state calculations. The predictions of the hydrodynamic theory are validated against solutions of the Bogoliubov-de Gennes equations, by comparing the speeds of sound, density fluctuations, and phase fluctuations of the two gapless bands. Our results are presented for two distinct supersolid models: a dipolar Bose-Einstein condensate in an infinite tube and a dilute Bose gas of atoms with soft-core interactions. Characteristic energy scales are identified, highlighting that these two models approximately realize the bulk incompressible and rigid lattice supersolid limits.

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L. M. Platt, D. Baillie, P. B. Blakie. 2024-03-28. Sounds waves and fluctuations in one-dimensional supersolids. https://doi.org/10.1103/physreva.110.023320

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