Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling

We study localized nonlinear excitations of a dilute Bose–Einstein condensate (BEC) with spin–orbit coupling in a deep optical lattice (OL). For this we introduce a tight-binding model that includes the spin–orbit coupling (SOC) at the discrete level in the form of a generalized discrete nonlinear S...

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Main Authors: Abdullaev, Fatkhulla, Salerno, Mario
Format: Article
Language:English
Published: Elsevier 2015
Subjects:
Online Access:http://irep.iium.edu.my/44268/
http://irep.iium.edu.my/44268/1/symm_break_PLA.pdf
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author Abdullaev, Fatkhulla
Salerno, Mario
author_facet Abdullaev, Fatkhulla
Salerno, Mario
author_sort Abdullaev, Fatkhulla
building IIUM Repository
collection Online Access
description We study localized nonlinear excitations of a dilute Bose–Einstein condensate (BEC) with spin–orbit coupling in a deep optical lattice (OL). For this we introduce a tight-binding model that includes the spin–orbit coupling (SOC) at the discrete level in the form of a generalized discrete nonlinear Schrödingerequation. Existence and stability of discrete solitons of different symmetry types is demonstrated. Quite interestingly, we find three distinctive regions in which discrete solitons undergo spontaneously symmetry breaking, passing from on-site to inter-site and to asymmetric, simply by varying the interatomic interactions. Existence ranges of discrete solitons with inter-site symmetry depend on SOC and shrink to zero as the SOC parameter is increased. Asymmetric discrete solitons appear as novel excitations specific of the SOC. Possible experimental implementation of these results is briefly discussed.
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spelling iium-442682017-08-08T02:48:41Z http://irep.iium.edu.my/44268/ Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling Abdullaev, Fatkhulla Salerno, Mario QC Physics We study localized nonlinear excitations of a dilute Bose–Einstein condensate (BEC) with spin–orbit coupling in a deep optical lattice (OL). For this we introduce a tight-binding model that includes the spin–orbit coupling (SOC) at the discrete level in the form of a generalized discrete nonlinear Schrödingerequation. Existence and stability of discrete solitons of different symmetry types is demonstrated. Quite interestingly, we find three distinctive regions in which discrete solitons undergo spontaneously symmetry breaking, passing from on-site to inter-site and to asymmetric, simply by varying the interatomic interactions. Existence ranges of discrete solitons with inter-site symmetry depend on SOC and shrink to zero as the SOC parameter is increased. Asymmetric discrete solitons appear as novel excitations specific of the SOC. Possible experimental implementation of these results is briefly discussed. Elsevier 2015-07-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44268/1/symm_break_PLA.pdf Abdullaev, Fatkhulla and Salerno, Mario (2015) Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling. Physics Letters A, 379. pp. 2252-2256. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/
spellingShingle QC Physics
Abdullaev, Fatkhulla
Salerno, Mario
Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title_full Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title_fullStr Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title_full_unstemmed Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title_short Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
title_sort symmetry breaking of localized discrete matter waves induced by spin–orbit coupling
topic QC Physics
url http://irep.iium.edu.my/44268/
http://irep.iium.edu.my/44268/
http://irep.iium.edu.my/44268/1/symm_break_PLA.pdf