Domain walls of single-component Bose-Einstein condensates in external potentials

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

doi:10.1016/j.matcom.2005.01.016

Domain walls of single-component Bose-Einstein condensates in external potentials

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

^*Corresponding author for this work

Interdisciplinary Engineering

Research output: Contribution to journal › Conference article › peer-review

11 Scopus citations

Abstract

We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.

Original language	English
Pages (from-to)	334-345
Number of pages	12
Journal	Mathematics and Computers in Simulation
Volume	69
Issue number	3-4
DOIs	https://doi.org/10.1016/j.matcom.2005.01.016
State	Published - 24 Jun 2005
Event	Nonlinear Waves: Computation and Theory III - Duration: 7 Apr 2003 → 10 Apr 2003

Keywords

Bose-Einstein condensation
Domain wall
Matter waves
Optical lattice
Soliton

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10.1016/j.matcom.2005.01.016

Cite this

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title = "Domain walls of single-component Bose-Einstein condensates in external potentials",

abstract = "We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include {"}twisted{"} domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.",

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TY - JOUR

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AU - Kevrekidis, P. G.

AU - Malomed, B. A.

AU - Frantzeskakis, D. J.

AU - Bishop, A. R.

AU - Nistazakis, H. E.

AU - Carretero-González, R.

PY - 2005/6/24

Y1 - 2005/6/24

N2 - We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.

AB - We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.

KW - Bose-Einstein condensation

KW - Domain wall

KW - Matter waves

KW - Optical lattice

KW - Soliton

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SN - 0378-4754

VL - 69

SP - 334

EP - 345

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 3-4

T2 - Nonlinear Waves: Computation and Theory III

Y2 - 7 April 2003 through 10 April 2003

ER -

Domain walls of single-component Bose-Einstein condensates in external potentials

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