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Linear response study of collisionless spin drag

Linear response study of collisionless spin drag
Linear response study of collisionless spin drag

In this work we are concerned with the understanding of the collisionless drag or entrainment between two superfluids, also called Andreev-Bashkin effect, in terms of current response functions. The drag density is shown to be proportional to the cross transverse current-current response function, playing the role of a normal component for the single-species superfluid density. We can in this way link the existence of finite entrainment with the exhaustion of the energy-weighted sum rule in the spin channel. The formalism is then used to reproduce some known results for a weakly interacting Bose-Bose mixture. We include the drag effect to determine the beyond mean-field correction on the speed of sound and on the spin dipole excitations for a homogeneous and a trapped weakly interacting gas, respectively. Finally, we show that the response to a quick dipole perturbation on one of the species induces a dipole moment on the other species which is proportional to the drag at short times.

2643-1564
Romito, Donato
d4b0ceb2-fe6a-4d15-83d9-0e03a7ad4756
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Recati, Alessio
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Romito, Donato
d4b0ceb2-fe6a-4d15-83d9-0e03a7ad4756
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Recati, Alessio
ecc995c6-74d3-4169-8362-1c9798dde7cb

Romito, Donato, Lobo, Carlos and Recati, Alessio (2021) Linear response study of collisionless spin drag. Physical Review Research, 3 (2), [023196]. (doi:10.1103/PhysRevResearch.3.023196).

Record type: Article

Abstract

In this work we are concerned with the understanding of the collisionless drag or entrainment between two superfluids, also called Andreev-Bashkin effect, in terms of current response functions. The drag density is shown to be proportional to the cross transverse current-current response function, playing the role of a normal component for the single-species superfluid density. We can in this way link the existence of finite entrainment with the exhaustion of the energy-weighted sum rule in the spin channel. The formalism is then used to reproduce some known results for a weakly interacting Bose-Bose mixture. We include the drag effect to determine the beyond mean-field correction on the speed of sound and on the spin dipole excitations for a homogeneous and a trapped weakly interacting gas, respectively. Finally, we show that the response to a quick dipole perturbation on one of the species induces a dipole moment on the other species which is proportional to the drag at short times.

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Accepted/In Press date: 10 February 2020
Published date: 1 June 2021
Additional Information: Publisher Copyright: © 2021 authors.

Identifiers

Local EPrints ID: 438187
URI: http://eprints.soton.ac.uk/id/eprint/438187
ISSN: 2643-1564
PURE UUID: 004d1896-c133-44c2-bdce-2354cd3d8ce3
ORCID for Donato Romito: ORCID iD orcid.org/0000-0001-6368-9675
ORCID for Carlos Lobo: ORCID iD orcid.org/0000-0001-7060-3905

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Date deposited: 04 Mar 2020 17:30
Last modified: 06 Jun 2024 01:46

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Contributors

Author: Donato Romito ORCID iD
Author: Carlos Lobo ORCID iD
Author: Alessio Recati

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