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
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Online Access: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
http://irep.iium.edu.my/59252/
http://iopscience.iop.org/article/10.1088/1361-6455/aa7dd5/pdf
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
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spelling my.iium.irep.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 REM 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
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
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/59252/1/59252_Binary%20matter-wave%20compactons%20induced_complete%20article.pdf
http://irep.iium.edu.my/59252/2/59252_Binary%20matter-wave%20compactons%20induced_scopus.pdf
http://irep.iium.edu.my/59252/
http://iopscience.iop.org/article/10.1088/1361-6455/aa7dd5/pdf
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