Bloch oscillations sustained by nonlinearity

Abstract We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields of physics such as optics and Bose-Einstein condensa...

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Autores principales:	R. Driben, V. V. Konotop, T. Meier, A. V. Yulin
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/53f2d817793c49bcb22e4a1106f29d91
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spelling	oai:doaj.org-article:53f2d817793c49bcb22e4a1106f29d912021-12-02T15:05:50ZBloch oscillations sustained by nonlinearity10.1038/s41598-017-03400-w2045-2322https://doaj.org/article/53f2d817793c49bcb22e4a1106f29d912017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03400-whttps://doaj.org/toc/2045-2322Abstract We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields of physics such as optics and Bose-Einstein condensates. We demonstrate that designing an optimal relation between the nonlinearity and the linear gradient strength provides extremely long-lived Bloch oscillations with little degradation. Such robust oscillations can be observed for a broad range of parameters and even for moderate nonlinearities and large enough values of linear potential. We also present an approximate analytical description of the wave packet’s evolution featuring a hybrid Bloch oscillating wave-soliton behavior that excellently corresponds to the direct numerical simulations.R. DribenV. V. KonotopT. MeierA. V. YulinNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q R. Driben V. V. Konotop T. Meier A. V. Yulin Bloch oscillations sustained by nonlinearity
description	Abstract We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields of physics such as optics and Bose-Einstein condensates. We demonstrate that designing an optimal relation between the nonlinearity and the linear gradient strength provides extremely long-lived Bloch oscillations with little degradation. Such robust oscillations can be observed for a broad range of parameters and even for moderate nonlinearities and large enough values of linear potential. We also present an approximate analytical description of the wave packet’s evolution featuring a hybrid Bloch oscillating wave-soliton behavior that excellently corresponds to the direct numerical simulations.
format	article
author	R. Driben V. V. Konotop T. Meier A. V. Yulin
author_facet	R. Driben V. V. Konotop T. Meier A. V. Yulin
author_sort	R. Driben
title	Bloch oscillations sustained by nonlinearity
title_short	Bloch oscillations sustained by nonlinearity
title_full	Bloch oscillations sustained by nonlinearity
title_fullStr	Bloch oscillations sustained by nonlinearity
title_full_unstemmed	Bloch oscillations sustained by nonlinearity
title_sort	bloch oscillations sustained by nonlinearity
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/53f2d817793c49bcb22e4a1106f29d91
work_keys_str_mv	AT rdriben blochoscillationssustainedbynonlinearity AT vvkonotop blochoscillationssustainedbynonlinearity AT tmeier blochoscillationssustainedbynonlinearity AT avyulin blochoscillationssustainedbynonlinearity
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Bloch oscillations sustained by nonlinearity

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