Dark-soliton collisions in a toroidal Bose-Einstein condensate

We study the dynamics of two gray solitons in a Bose-Einstein condensate confined by a toroidal trap with a tight confinement in the radial direction. Gross-Pitaevskii simulations show that solitons can be long-living objects passing through many collisional processes. We have observed quite differe...

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Autores principales:	Jezek, Dora Marta, Capuzzi, Pablo, Cataldo, Horacio Máximo
Publicado:	2016
Materias:	Bose-Einstein condensation Statistical mechanics Velocity Bose-Einstein condensates Collisional process Constant angular velocity Free parameters One-dimensional systems Radial direction Soliton velocities Turning points Solitons
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v93_n2_p_Jezek http://hdl.handle.net/20.500.12110/paper_24699926_v93_n2_p_Jezek
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_24699926_v93_n2_p_Jezek
record_format	dspace
spelling	paper:paper_24699926_v93_n2_p_Jezek2023-06-08T16:35:59Z Dark-soliton collisions in a toroidal Bose-Einstein condensate Jezek, Dora Marta Capuzzi, Pablo Cataldo, Horacio Máximo Bose-Einstein condensation Statistical mechanics Velocity Bose-Einstein condensates Collisional process Constant angular velocity Free parameters One-dimensional systems Radial direction Soliton velocities Turning points Solitons We study the dynamics of two gray solitons in a Bose-Einstein condensate confined by a toroidal trap with a tight confinement in the radial direction. Gross-Pitaevskii simulations show that solitons can be long-living objects passing through many collisional processes. We have observed quite different behaviors depending on the soliton velocity. Very slow solitons, obtained by perturbing the stationary solitonic profile, move with a constant angular velocity until they collide elastically and move in the opposite direction without showing any sign of lowering their energy. In this case the density notches are always well separated and the fronts are sharp and straight. Faster solitons present vortices around the notches, which play a central role during the collisions. We have found that in these processes the solitons lose energy, as the outgoing velocity turns out to be larger than the incoming one. To study the dynamics, we model the gray soliton state with a free parameter that is related to the soliton velocity. We further analyze the energy, soliton velocity, and turning points in terms of such a free parameter, finding that the main features are in accordance with the infinite one-dimensional system. © 2016 American Physical Society. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v93_n2_p_Jezek http://hdl.handle.net/20.500.12110/paper_24699926_v93_n2_p_Jezek
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Bose-Einstein condensation Statistical mechanics Velocity Bose-Einstein condensates Collisional process Constant angular velocity Free parameters One-dimensional systems Radial direction Soliton velocities Turning points Solitons
spellingShingle	Bose-Einstein condensation Statistical mechanics Velocity Bose-Einstein condensates Collisional process Constant angular velocity Free parameters One-dimensional systems Radial direction Soliton velocities Turning points Solitons Jezek, Dora Marta Capuzzi, Pablo Cataldo, Horacio Máximo Dark-soliton collisions in a toroidal Bose-Einstein condensate
topic_facet	Bose-Einstein condensation Statistical mechanics Velocity Bose-Einstein condensates Collisional process Constant angular velocity Free parameters One-dimensional systems Radial direction Soliton velocities Turning points Solitons
description	We study the dynamics of two gray solitons in a Bose-Einstein condensate confined by a toroidal trap with a tight confinement in the radial direction. Gross-Pitaevskii simulations show that solitons can be long-living objects passing through many collisional processes. We have observed quite different behaviors depending on the soliton velocity. Very slow solitons, obtained by perturbing the stationary solitonic profile, move with a constant angular velocity until they collide elastically and move in the opposite direction without showing any sign of lowering their energy. In this case the density notches are always well separated and the fronts are sharp and straight. Faster solitons present vortices around the notches, which play a central role during the collisions. We have found that in these processes the solitons lose energy, as the outgoing velocity turns out to be larger than the incoming one. To study the dynamics, we model the gray soliton state with a free parameter that is related to the soliton velocity. We further analyze the energy, soliton velocity, and turning points in terms of such a free parameter, finding that the main features are in accordance with the infinite one-dimensional system. © 2016 American Physical Society.
author	Jezek, Dora Marta Capuzzi, Pablo Cataldo, Horacio Máximo
author_facet	Jezek, Dora Marta Capuzzi, Pablo Cataldo, Horacio Máximo
author_sort	Jezek, Dora Marta
title	Dark-soliton collisions in a toroidal Bose-Einstein condensate
title_short	Dark-soliton collisions in a toroidal Bose-Einstein condensate
title_full	Dark-soliton collisions in a toroidal Bose-Einstein condensate
title_fullStr	Dark-soliton collisions in a toroidal Bose-Einstein condensate
title_full_unstemmed	Dark-soliton collisions in a toroidal Bose-Einstein condensate
title_sort	dark-soliton collisions in a toroidal bose-einstein condensate
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v93_n2_p_Jezek http://hdl.handle.net/20.500.12110/paper_24699926_v93_n2_p_Jezek
work_keys_str_mv	AT jezekdoramarta darksolitoncollisionsinatoroidalboseeinsteincondensate AT capuzzipablo darksolitoncollisionsinatoroidalboseeinsteincondensate AT cataldohoraciomaximo darksolitoncollisionsinatoroidalboseeinsteincondensate
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Dark-soliton collisions in a toroidal Bose-Einstein condensate

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