On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity

Fuente: arXiv
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Hauptverfasser: Nguyen, Dung Xuan, Moroz, Sergej
Format: Preprint
Veröffentlicht: 2023
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author Nguyen, Dung Xuan
Moroz, Sergej
author_facet Nguyen, Dung Xuan
Moroz, Sergej
contents Despite a long history of studies of vortex crystals in rotating superfluids, their melting due to quantum fluctuations is poorly understood. Here we develop a fracton-elasticity duality to investigate a two-dimensional vortex lattice within the fast rotation regime, where the Lifshitz model of the collective Tkachenko mode serves as the leading-order low-energy effective theory. We incorporate topological defects and discuss several quantum melting scenarios triggered by their proliferation. Furthermore, we lay the groundwork for a dual non-linear emergent gravity description of the superfluid vortex crystals.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13741
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
Nguyen, Dung Xuan
Moroz, Sergej
Quantum Gases
Soft Condensed Matter
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
Despite a long history of studies of vortex crystals in rotating superfluids, their melting due to quantum fluctuations is poorly understood. Here we develop a fracton-elasticity duality to investigate a two-dimensional vortex lattice within the fast rotation regime, where the Lifshitz model of the collective Tkachenko mode serves as the leading-order low-energy effective theory. We incorporate topological defects and discuss several quantum melting scenarios triggered by their proliferation. Furthermore, we lay the groundwork for a dual non-linear emergent gravity description of the superfluid vortex crystals.
title On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
topic Quantum Gases
Soft Condensed Matter
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
url https://arxiv.org/abs/2310.13741