Binary matter-wave compactons induced by inter-species scattering length modulations

Binary mixtures of quasi one-dimensional Bose-Einstein condensates (BECs) trapped in deep optical lattices (OLs) in the presence of periodic time modulations of the inter-species scattering length are investigated. We adopt a mean field description and use the tight-binding approximation and averagi...

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Main Authors:	Abdullaev, Fatkhulla Kh H., Hadi, Morteza S.A., Salerno, Mario, Umarov, Bakhram
Format:	Article
Language:	English English
Published:	IOP Publishing Ltd. 2017
Subjects:	QC Physics T Technology (General)
Online Access:	http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/1/59252_Binary%20matter-wave%20compactons%20induced_complete%20article.pdf http://irep.iium.edu.my/59252/2/59252_Binary%20matter-wave%20compactons%20induced_scopus.pdf

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spelling	iium-592522018-04-05T07:09:55Z http://irep.iium.edu.my/59252/ Binary matter-wave compactons induced by inter-species scattering length modulations Abdullaev, Fatkhulla Kh H. Hadi, Morteza S.A. Salerno, Mario Umarov, Bakhram QC Physics T Technology (General) Binary mixtures of quasi one-dimensional Bose-Einstein condensates (BECs) trapped in deep optical lattices (OLs) in the presence of periodic time modulations of the inter-species scattering length are investigated. We adopt a mean field description and use the tight-binding approximation and averaging method to derive averaged model equations in the form of two coupled discrete nonlinear Schrödinger equations (DNLSEs) with tunneling constants that nonlinearly depend on inter-species coupling. We show that for strong and rapid modulations of the inter-species scattering length, the averaged system admits exact compacton solutions, e.g. solutions that have no tails and are fully localized on a compact which is achieved when the densities at the compact edges are in correspondence with zeros of the Bessel function (zero tunneling condition). Deviations from exact conditions give rise to the formation of quasi-compactons, e.g. non-exact excitations which look like compactons for any practical purpose, for which the zero tunneling condition is achieved dynamically thanks to an effective nonlinear dispersive coupling induced by scattering length modulation. The stability properties of compactons and quasi-compactons are investigated by linear analysis and numerical integrations of the averaged system, respectively, and the results are compared with those of the original time dependent driven system. In particular, the occurrence of delocalizing transitions with the existence of thresholds in the mean inter-species scattering length is explicitly demonstrated. Under proper management conditions, stationary compactons and quasi-compactons are quite stable and robust excitations that can survive on a very long time scale. A parameter design and a possible experimental setting for the observation of these excitations are briefly discussed IOP Publishing Ltd. 2017-07-25 Article PeerReviewed application/pdf en http://irep.iium.edu.my/59252/1/59252_Binary%20matter-wave%20compactons%20induced_complete%20article.pdf application/pdf en http://irep.iium.edu.my/59252/2/59252_Binary%20matter-wave%20compactons%20induced_scopus.pdf Abdullaev, Fatkhulla Kh H. and Hadi, Morteza S.A. and Salerno, Mario and Umarov, Bakhram (2017) Binary matter-wave compactons induced by inter-species scattering length modulations. Journal of Physics B: Atomic, Molecular and Optical Physics, 50 (16). pp. 1-13. ISSN 0953-4075 http://iopscience.iop.org/article/10.1088/1361-6455/aa7dd5/pdf 10.1088/1361-6455/aa7dd5
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QC Physics T Technology (General)
spellingShingle	QC Physics T Technology (General) Abdullaev, Fatkhulla Kh H. Hadi, Morteza S.A. Salerno, Mario Umarov, Bakhram Binary matter-wave compactons induced by inter-species scattering length modulations
description	Binary mixtures of quasi one-dimensional Bose-Einstein condensates (BECs) trapped in deep optical lattices (OLs) in the presence of periodic time modulations of the inter-species scattering length are investigated. We adopt a mean field description and use the tight-binding approximation and averaging method to derive averaged model equations in the form of two coupled discrete nonlinear Schrödinger equations (DNLSEs) with tunneling constants that nonlinearly depend on inter-species coupling. We show that for strong and rapid modulations of the inter-species scattering length, the averaged system admits exact compacton solutions, e.g. solutions that have no tails and are fully localized on a compact which is achieved when the densities at the compact edges are in correspondence with zeros of the Bessel function (zero tunneling condition). Deviations from exact conditions give rise to the formation of quasi-compactons, e.g. non-exact excitations which look like compactons for any practical purpose, for which the zero tunneling condition is achieved dynamically thanks to an effective nonlinear dispersive coupling induced by scattering length modulation. The stability properties of compactons and quasi-compactons are investigated by linear analysis and numerical integrations of the averaged system, respectively, and the results are compared with those of the original time dependent driven system. In particular, the occurrence of delocalizing transitions with the existence of thresholds in the mean inter-species scattering length is explicitly demonstrated. Under proper management conditions, stationary compactons and quasi-compactons are quite stable and robust excitations that can survive on a very long time scale. A parameter design and a possible experimental setting for the observation of these excitations are briefly discussed
format	Article
author	Abdullaev, Fatkhulla Kh H. Hadi, Morteza S.A. Salerno, Mario Umarov, Bakhram
author_facet	Abdullaev, Fatkhulla Kh H. Hadi, Morteza S.A. Salerno, Mario Umarov, Bakhram
author_sort	Abdullaev, Fatkhulla Kh H.
title	Binary matter-wave compactons induced by inter-species scattering length modulations
title_short	Binary matter-wave compactons induced by inter-species scattering length modulations
title_full	Binary matter-wave compactons induced by inter-species scattering length modulations
title_fullStr	Binary matter-wave compactons induced by inter-species scattering length modulations
title_full_unstemmed	Binary matter-wave compactons induced by inter-species scattering length modulations
title_sort	binary matter-wave compactons induced by inter-species scattering length modulations
publisher	IOP Publishing Ltd.
publishDate	2017
url	http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/ http://irep.iium.edu.my/59252/1/59252_Binary%20matter-wave%20compactons%20induced_complete%20article.pdf http://irep.iium.edu.my/59252/2/59252_Binary%20matter-wave%20compactons%20induced_scopus.pdf
first_indexed	2023-09-18T21:23:55Z
last_indexed	2023-09-18T21:23:55Z
_version_	1777412064369704960

Binary matter-wave compactons induced by inter-species scattering length modulations

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