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Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices

Binary mixtures of Bose-Einstein condensates (BECs) trapped in deep optical lattices and subjected to equal contributions of Rashba and Dresselhaus spin-orbit coupling (SOC) are investigated in the presence of a periodic time modulation of the Zeeman field. SOC tunability is explicitly demonstrate...

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Main Authors:	Salerno, Mario, Abdullaev, Fatkhulla Kh., Gammal, A, Tomio, Lauro
Format:	Article
Language:	English English
Published:	American Physical Society. 2016
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/52192/1/2016-PhysRevA.94.043602.pdf http://irep.iium.edu.my/52192/7/52192_Tunable%20spin-orbit-coupled%20Bose-Einstein%20condensates%20in%20deep%20optical%20lattices_Scopus.pdf http://irep.iium.edu.my/52192/ https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.043602
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spelling	my.iium.irep.521922017-10-20T07:54:54Z http://irep.iium.edu.my/52192/ Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices Salerno, Mario Abdullaev, Fatkhulla Kh. Gammal, A Tomio, Lauro QC Physics Binary mixtures of Bose-Einstein condensates (BECs) trapped in deep optical lattices and subjected to equal contributions of Rashba and Dresselhaus spin-orbit coupling (SOC) are investigated in the presence of a periodic time modulation of the Zeeman field. SOC tunability is explicitly demonstrated by adopting a mean-field tight-binding model for the BEC mixture and by performing an averaging approach in the strong modulation limit. In this case, the system can be reduced to an unmodulated vector discrete nonlinear Schr¨odinger equation with a rescaled SOC tuning parameter α, which depends only on the ratio between amplitude and frequency of the applied Zeeman field. We consider the attractive interaction case and focus on the effect of the SOC tuning on the localized ground states. The dependence of the spectrum of the linear system on α has been analytically characterized. In particular, we show that extremal curves (ground and highest excited states) of the linear spectrum are continuous piecewise functions (together with their derivatives) of α, which consist of a finite number of decreasing band lobes joined by constant lines. This structure also remains in the presence of inter- and intra-species interactions, the nonlinearity mainly introducing a number of localized states in the band gaps. The stability of ground states in the presence of the modulating field has been demonstrated by real-time evolutions of the original (unaveraged) system. Localization properties of the ground state induced by the SOC tuning, and a parameter design for possible experimental observation, have also been discussed. American Physical Society. 2016-10 Article REM application/pdf en http://irep.iium.edu.my/52192/1/2016-PhysRevA.94.043602.pdf application/pdf en http://irep.iium.edu.my/52192/7/52192_Tunable%20spin-orbit-coupled%20Bose-Einstein%20condensates%20in%20deep%20optical%20lattices_Scopus.pdf Salerno, Mario and Abdullaev, Fatkhulla Kh. and Gammal, A and Tomio, Lauro (2016) Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices. Physical Review A, 94 (4). 043602-1-043602-11. ISSN 2469-9926 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.043602 10.1103/PhysRevA.94.043602
institution	Universiti Islam Antarabangsa Malaysia
building	IIUM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	International Islamic University Malaysia
content_source	IIUM Repository (IREP)
url_provider	http://irep.iium.edu.my/
language	English English
topic	QC Physics
spellingShingle	QC Physics Salerno, Mario Abdullaev, Fatkhulla Kh. Gammal, A Tomio, Lauro Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
description	Binary mixtures of Bose-Einstein condensates (BECs) trapped in deep optical lattices and subjected to equal contributions of Rashba and Dresselhaus spin-orbit coupling (SOC) are investigated in the presence of a periodic time modulation of the Zeeman field. SOC tunability is explicitly demonstrated by adopting a mean-field tight-binding model for the BEC mixture and by performing an averaging approach in the strong modulation limit. In this case, the system can be reduced to an unmodulated vector discrete nonlinear Schr¨odinger equation with a rescaled SOC tuning parameter α, which depends only on the ratio between amplitude and frequency of the applied Zeeman field. We consider the attractive interaction case and focus on the effect of the SOC tuning on the localized ground states. The dependence of the spectrum of the linear system on α has been analytically characterized. In particular, we show that extremal curves (ground and highest excited states) of the linear spectrum are continuous piecewise functions (together with their derivatives) of α, which consist of a finite number of decreasing band lobes joined by constant lines. This structure also remains in the presence of inter- and intra-species interactions, the nonlinearity mainly introducing a number of localized states in the band gaps. The stability of ground states in the presence of the modulating field has been demonstrated by real-time evolutions of the original (unaveraged) system. Localization properties of the ground state induced by the SOC tuning, and a parameter design for possible experimental observation, have also been discussed.
format	Article
author	Salerno, Mario Abdullaev, Fatkhulla Kh. Gammal, A Tomio, Lauro
author_facet	Salerno, Mario Abdullaev, Fatkhulla Kh. Gammal, A Tomio, Lauro
author_sort	Salerno, Mario
title	Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
title_short	Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
title_full	Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
title_fullStr	Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
title_full_unstemmed	Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices
title_sort	tunable spin-orbit-coupled bose-einstein condensates in deep optical lattices
publisher	American Physical Society.
publishDate	2016
url	http://irep.iium.edu.my/52192/1/2016-PhysRevA.94.043602.pdf http://irep.iium.edu.my/52192/7/52192_Tunable%20spin-orbit-coupled%20Bose-Einstein%20condensates%20in%20deep%20optical%20lattices_Scopus.pdf http://irep.iium.edu.my/52192/ https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.043602
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score	13.211869

Tunable spin-orbit-coupled Bose-Einstein condensates in deep optical lattices

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