Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field

The speed of the Goldstone sound mode of a spin-orbit-coupled atomic Fermi gas loaded in a square optical lattice with a non-Abelian gauge field in the presence of a Zeeman field is calculated within the Gaussian approximation and from the Bethe-Salpeter equation in the generalized random phase appr...

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Main Authors: Zlatko Koinov, Israel Chávez Villalpando
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2018/6809265
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author Zlatko Koinov
Israel Chávez Villalpando
author_facet Zlatko Koinov
Israel Chávez Villalpando
author_sort Zlatko Koinov
collection DOAJ
description The speed of the Goldstone sound mode of a spin-orbit-coupled atomic Fermi gas loaded in a square optical lattice with a non-Abelian gauge field in the presence of a Zeeman field is calculated within the Gaussian approximation and from the Bethe-Salpeter equation in the generalized random phase approximation. It is found that (i) there is no sharp change of the slope of the Goldstone sound mode across the topological quantum phase transition point and (ii) the Gaussian approximation significantly overestimates the speed of sound of the Goldstone mode compared to the value provided by the BS formalism.
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institution Kabale University
issn 1687-8108
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spelling doaj-art-0d4018980abf4e14966f005eede3594b2025-02-03T05:58:12ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242018-01-01201810.1155/2018/68092656809265Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman FieldZlatko Koinov0Israel Chávez Villalpando1Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, TX 78249, USAInstituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Mexico Distrito Federal, MexicoThe speed of the Goldstone sound mode of a spin-orbit-coupled atomic Fermi gas loaded in a square optical lattice with a non-Abelian gauge field in the presence of a Zeeman field is calculated within the Gaussian approximation and from the Bethe-Salpeter equation in the generalized random phase approximation. It is found that (i) there is no sharp change of the slope of the Goldstone sound mode across the topological quantum phase transition point and (ii) the Gaussian approximation significantly overestimates the speed of sound of the Goldstone mode compared to the value provided by the BS formalism.http://dx.doi.org/10.1155/2018/6809265
spellingShingle Zlatko Koinov
Israel Chávez Villalpando
Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
Advances in Condensed Matter Physics
title Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
title_full Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
title_fullStr Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
title_full_unstemmed Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
title_short Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field
title_sort speed of the goldstone sound mode of an atomic fermi gas loaded on a square optical lattice with a non abelian gauge field in the presence of a zeeman field
url http://dx.doi.org/10.1155/2018/6809265
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AT israelchavezvillalpando speedofthegoldstonesoundmodeofanatomicfermigasloadedonasquareopticallatticewithanonabeliangaugefieldinthepresenceofazeemanfield