Andreev–Bashkin effect in superfluid cold gases mixtures

We study a mixture of two superfluids with density–density and current–current (Andreev–Bashkin) interspecies interactions. The Andreev–Bashkin coupling gives rise to a dissipationless drag (or entrainment) between the two superfluids. Within the quantum hydrodynamics approximation, we study the rel...

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Main Authors: Jacopo Nespolo, Grigori E Astrakharchik, Alessio Recati
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa93a0
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author Jacopo Nespolo
Grigori E Astrakharchik
Alessio Recati
author_facet Jacopo Nespolo
Grigori E Astrakharchik
Alessio Recati
author_sort Jacopo Nespolo
collection DOAJ
description We study a mixture of two superfluids with density–density and current–current (Andreev–Bashkin) interspecies interactions. The Andreev–Bashkin coupling gives rise to a dissipationless drag (or entrainment) between the two superfluids. Within the quantum hydrodynamics approximation, we study the relations between speeds of sound, susceptibilities and static structure factors, in a generic model in which the density and spin dynamics decouple. Due to translational invariance, the density channel does not feel the drag. The spin channel, instead, does not satisfy the usual Bijl–Feynman relation, since the f-sum rule is not exhausted by the spin phonons. The very same effect on one dimensional Bose mixtures and their Luttinger liquid description is analysed within perturbation theory. Using diffusion quantum Monte Carlo simulations of a system of dipolar gases in a double layer configuration, we confirm the general results. Given the recent advances in measuring the counterflow instability, we also study the effect of the entrainment on the dynamical stability of a superfluid mixture with non-zero relative velocity.
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spelling doaj.art-530d128e10d144d4b9155c82a7cc44aa2023-08-08T14:48:33ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191212500510.1088/1367-2630/aa93a0Andreev–Bashkin effect in superfluid cold gases mixturesJacopo Nespolo0Grigori E Astrakharchik1Alessio Recati2Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München , Theresienstraße 37, D-80333 Munich, GermanyDepartament de Física, Universitat Politècnica de Catalunya , E-08034 Barcelona, SpainDepartment of Physics, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München , Theresienstraße 37, D-80333 Munich, Germany; INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento , Via Sommarive 14, I-38123 Povo, ItalyWe study a mixture of two superfluids with density–density and current–current (Andreev–Bashkin) interspecies interactions. The Andreev–Bashkin coupling gives rise to a dissipationless drag (or entrainment) between the two superfluids. Within the quantum hydrodynamics approximation, we study the relations between speeds of sound, susceptibilities and static structure factors, in a generic model in which the density and spin dynamics decouple. Due to translational invariance, the density channel does not feel the drag. The spin channel, instead, does not satisfy the usual Bijl–Feynman relation, since the f-sum rule is not exhausted by the spin phonons. The very same effect on one dimensional Bose mixtures and their Luttinger liquid description is analysed within perturbation theory. Using diffusion quantum Monte Carlo simulations of a system of dipolar gases in a double layer configuration, we confirm the general results. Given the recent advances in measuring the counterflow instability, we also study the effect of the entrainment on the dynamical stability of a superfluid mixture with non-zero relative velocity.https://doi.org/10.1088/1367-2630/aa93a0multicomponent superfluidsAndreev–Bashkin effectdipolar gasesdiffusion quantum Monte Carlosum rules
spellingShingle Jacopo Nespolo
Grigori E Astrakharchik
Alessio Recati
Andreev–Bashkin effect in superfluid cold gases mixtures
New Journal of Physics
multicomponent superfluids
Andreev–Bashkin effect
dipolar gases
diffusion quantum Monte Carlo
sum rules
title Andreev–Bashkin effect in superfluid cold gases mixtures
title_full Andreev–Bashkin effect in superfluid cold gases mixtures
title_fullStr Andreev–Bashkin effect in superfluid cold gases mixtures
title_full_unstemmed Andreev–Bashkin effect in superfluid cold gases mixtures
title_short Andreev–Bashkin effect in superfluid cold gases mixtures
title_sort andreev bashkin effect in superfluid cold gases mixtures
topic multicomponent superfluids
Andreev–Bashkin effect
dipolar gases
diffusion quantum Monte Carlo
sum rules
url https://doi.org/10.1088/1367-2630/aa93a0
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