Trapped bright matter-wave solitons in the presence of localized inhomogeneities

G. Herring; P. G. Kevrekidis; R. Carretero-González; B. A. Malomed; D. J. Frantzeskakis; A. R. Bishop

doi:10.1016/j.physleta.2005.07.008

Trapped bright matter-wave solitons in the presence of localized inhomogeneities

G. Herring, P. G. Kevrekidis, R. Carretero-González, B. A. Malomed, D. J. Frantzeskakis^*, A. R. Bishop

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized "impurity" in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of the impurity as the impurity strength is varied. These two new steady states, one stable and one unstable, disappear through a saddle-node bifurcation as the strength of the impurity is decreased. Soliton dynamics is also studied, including cases where the soliton is offset from one of the relevant fixed points. The numerical results are corroborated by theoretical calculations which are in very good agreement with the numerical findings.

Original language	English
Pages (from-to)	144-153
Number of pages	10
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	345
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physleta.2005.07.008
State	Published - 26 Sep 2005

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10.1016/j.physleta.2005.07.008

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AU - Kevrekidis, P. G.

AU - Carretero-González, R.

AU - Malomed, B. A.

AU - Frantzeskakis, D. J.

AU - Bishop, A. R.

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AB - We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized "impurity" in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of the impurity as the impurity strength is varied. These two new steady states, one stable and one unstable, disappear through a saddle-node bifurcation as the strength of the impurity is decreased. Soliton dynamics is also studied, including cases where the soliton is offset from one of the relevant fixed points. The numerical results are corroborated by theoretical calculations which are in very good agreement with the numerical findings.

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Trapped bright matter-wave solitons in the presence of localized inhomogeneities

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