Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of this phase, holding for small values of the Raman coupling...

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Autor principal:	Giovanni Italo Martone, Sandro Stringari
Formato:	article
Lenguaje:	EN
Publicado:	SciPost 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/aad7e324c7e44710ae705d63c093264e
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id	oai:doaj.org-article:aad7e324c7e44710ae705d63c093264e
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spelling	oai:doaj.org-article:aad7e324c7e44710ae705d63c093264e2021-11-17T18:37:28ZSupersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach2542-465310.21468/SciPostPhys.11.5.092https://doaj.org/article/aad7e324c7e44710ae705d63c093264e2021-11-01T00:00:00Zhttps://scipost.org/SciPostPhys.11.5.092https://doaj.org/toc/2542-4653The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of this phase, holding for small values of the Raman coupling. We obtain analytical predictions for the most relevant observables (including the periodicity of stripes, sound velocities, compressibility, and magnetic susceptibility) which are in excellent agreement with the exact (non perturbative) numerical results, obtained for significantly large values of the coupling. We further unveil the nature of the two gapless Bogoliubov modes in the long-wavelength limit. We find that the spin branch of the spectrum, corresponding in this limit to the dynamics of the relative phase between the two spin components, describes a translation of the fringes of the equilibrium density profile, thereby providing the crystal Goldstone mode typical of a supersolid configuration. Finally, using sum-rule arguments, we show that the superfluid density can be experimentally accessed by measuring the ratio of the sound velocities parallel and perpendicular to the direction of the spin-orbit coupling.Giovanni Italo Martone, Sandro StringariSciPostarticlePhysicsQC1-999ENSciPost Physics, Vol 11, Iss 5, p 092 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Giovanni Italo Martone, Sandro Stringari Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
description	The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of this phase, holding for small values of the Raman coupling. We obtain analytical predictions for the most relevant observables (including the periodicity of stripes, sound velocities, compressibility, and magnetic susceptibility) which are in excellent agreement with the exact (non perturbative) numerical results, obtained for significantly large values of the coupling. We further unveil the nature of the two gapless Bogoliubov modes in the long-wavelength limit. We find that the spin branch of the spectrum, corresponding in this limit to the dynamics of the relative phase between the two spin components, describes a translation of the fringes of the equilibrium density profile, thereby providing the crystal Goldstone mode typical of a supersolid configuration. Finally, using sum-rule arguments, we show that the superfluid density can be experimentally accessed by measuring the ratio of the sound velocities parallel and perpendicular to the direction of the spin-orbit coupling.
format	article
author	Giovanni Italo Martone, Sandro Stringari
author_facet	Giovanni Italo Martone, Sandro Stringari
author_sort	Giovanni Italo Martone, Sandro Stringari
title	Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
title_short	Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
title_full	Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
title_fullStr	Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
title_full_unstemmed	Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach
title_sort	supersolid phase of a spin-orbit-coupled bose-einstein condensate: a perturbation approach
publisher	SciPost
publishDate	2021
url	https://doaj.org/article/aad7e324c7e44710ae705d63c093264e
work_keys_str_mv	AT giovanniitalomartonesandrostringari supersolidphaseofaspinorbitcoupledboseeinsteincondensateaperturbationapproach
_version_	1718425373437329408

Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach

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