Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture

Abstract: We study the collisional dynamics of multiple dark solitons in a Bose–Einstein condensate confined by a toroidal trap. We assume a tight enough confinement in the radial direction to prevent possible dissipative effects due to the presence of solitonic vortices. Analytical expressions for...

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Detalles Bibliográficos
Autores principales:	Cataldo, H.M., Jezek, D.M.
Formato:	JOUR
Materias:	Cold Matter and Quantum Gas
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_14346060_v72_n12_p_Cataldo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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spelling	todo:paper_14346060_v72_n12_p_Cataldo2023-10-03T16:15:49Z Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture Cataldo, H.M. Jezek, D.M. Cold Matter and Quantum Gas Abstract: We study the collisional dynamics of multiple dark solitons in a Bose–Einstein condensate confined by a toroidal trap. We assume a tight enough confinement in the radial direction to prevent possible dissipative effects due to the presence of solitonic vortices. Analytical expressions for the initial order parameters with imprinted phases are utilized to generate different initial arrays of solitons, for which the time-dependent Gross–Pitaevskii equation is numerically solved. Given that the soliton velocity is conserved due to the lack of dissipation, we are able to apply a simple quasiparticle description of the soliton dynamics. In fact, the trajectory equations are written in terms of the velocities and the angular shifts produced at each collision, in analogy to the infinite one-dimensional system. To calculate the angular shifts, we directly extract them from the trajectories given by the Gross–Pitaevskii simulations and, on the other hand, we show that accurate values can be analytically obtained by adapting a formula valid for the infinite one-dimensional system that involves the healing length, which in our inhomogeneous system must be evaluated in terms of the sound velocity along the azimuthal direction. We further show that very good estimates of such a sound velocity can be directly determined by using the ground state density profile and the values of the imprinted phases. We discuss the possible implementation of the system here proposed using the current experimental techniques. Graphical abstract: [Figure not available: see fulltext.]. © 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14346060_v72_n12_p_Cataldo
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Cold Matter and Quantum Gas
spellingShingle	Cold Matter and Quantum Gas Cataldo, H.M. Jezek, D.M. Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
topic_facet	Cold Matter and Quantum Gas
description	Abstract: We study the collisional dynamics of multiple dark solitons in a Bose–Einstein condensate confined by a toroidal trap. We assume a tight enough confinement in the radial direction to prevent possible dissipative effects due to the presence of solitonic vortices. Analytical expressions for the initial order parameters with imprinted phases are utilized to generate different initial arrays of solitons, for which the time-dependent Gross–Pitaevskii equation is numerically solved. Given that the soliton velocity is conserved due to the lack of dissipation, we are able to apply a simple quasiparticle description of the soliton dynamics. In fact, the trajectory equations are written in terms of the velocities and the angular shifts produced at each collision, in analogy to the infinite one-dimensional system. To calculate the angular shifts, we directly extract them from the trajectories given by the Gross–Pitaevskii simulations and, on the other hand, we show that accurate values can be analytically obtained by adapting a formula valid for the infinite one-dimensional system that involves the healing length, which in our inhomogeneous system must be evaluated in terms of the sound velocity along the azimuthal direction. We further show that very good estimates of such a sound velocity can be directly determined by using the ground state density profile and the values of the imprinted phases. We discuss the possible implementation of the system here proposed using the current experimental techniques. Graphical abstract: [Figure not available: see fulltext.]. © 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature.
format	JOUR
author	Cataldo, H.M. Jezek, D.M.
author_facet	Cataldo, H.M. Jezek, D.M.
author_sort	Cataldo, H.M.
title	Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
title_short	Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
title_full	Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
title_fullStr	Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
title_full_unstemmed	Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture
title_sort	collisional dynamics of multiple dark solitons in a toroidal bose–einstein condensate: quasiparticle picture
url	http://hdl.handle.net/20.500.12110/paper_14346060_v72_n12_p_Cataldo
work_keys_str_mv	AT cataldohm collisionaldynamicsofmultipledarksolitonsinatoroidalboseeinsteincondensatequasiparticlepicture AT jezekdm collisionaldynamicsofmultipledarksolitonsinatoroidalboseeinsteincondensatequasiparticlepicture
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Collisional dynamics of multiple dark solitons in a toroidal Bose–Einstein condensate: quasiparticle picture

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