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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American Physical Society.
2016
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iium-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 PeerReviewed 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 E-ISSN 2469-9934 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.043602 10.1103/PhysRevA.94.043602 |
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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/ http://irep.iium.edu.my/52192/ http://irep.iium.edu.my/52192/ 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 |
first_indexed |
2023-09-18T21:13:59Z |
last_indexed |
2023-09-18T21:13:59Z |
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1777411439360737280 |