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Main Authors: Yoo, Chi-Deuk, Dorsey, Alan T.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.04865
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author Yoo, Chi-Deuk
Dorsey, Alan T.
author_facet Yoo, Chi-Deuk
Dorsey, Alan T.
contents We investigate the dynamics of quantized vortices in a model two-dimensional supersolid. Starting from an effective action that captures the dynamics of the superfluid condensate and its coupling to the lattice displacements, we integrate out the low-energy Goldstone modes-the phonons of the solid and the superfluid condensate-to arrive at an effective action for the vortices in the condensate. In the low-velocity limit we calculate the effective inertial mass for the vortices, and we find that the mass has a logarithmic frequency dependence, similar to the inertial mass found in superfluid vortices. The vortex dynamics also includes a Magnus force term in the equation of motion that arises from the Berry phase in the effective action.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04865
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Vortex dynamics in two-dimensional supersolids
Yoo, Chi-Deuk
Dorsey, Alan T.
Quantum Gases
We investigate the dynamics of quantized vortices in a model two-dimensional supersolid. Starting from an effective action that captures the dynamics of the superfluid condensate and its coupling to the lattice displacements, we integrate out the low-energy Goldstone modes-the phonons of the solid and the superfluid condensate-to arrive at an effective action for the vortices in the condensate. In the low-velocity limit we calculate the effective inertial mass for the vortices, and we find that the mass has a logarithmic frequency dependence, similar to the inertial mass found in superfluid vortices. The vortex dynamics also includes a Magnus force term in the equation of motion that arises from the Berry phase in the effective action.
title Vortex dynamics in two-dimensional supersolids
topic Quantum Gases
url https://arxiv.org/abs/2409.04865