Adiabatic Nsoliton interactions of BoseEinstein condensates in external potentials
Abstract
A perturbed version of the complex Toda chain (CTC) has been employed to describe adiabatic interactions within an Nsoliton train of the nonlinear Schroedinger equation. Perturbations induced by weak quadratic and periodic external potentials are studied by both analytical and numerical means. It is found that the perturbed CTC adequately models the Nsoliton train dynamics for both types of potentials. As an application of the developed theory, we consider the dynamics of a train of matterwave solitons confined to a parabolic trap and optical lattice, as well as tilted periodic potentials. In the last case, we demonstrate that there exist critical values of the strength of the linear potential for which one or more localized states can be extracted from a soliton train. An analytical expression for these critical strengths for expulsion is also derived.
 Authors:
 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Blvd. Tzarigradsko chaussee 72, 1784 Sofia (Bulgaria)
 Dipartimento di Fisica 'E.R. Caianiello' and Consorzio Nazionale, Interuniversitario per le Scienze Fisiche della Materia (CNISM), Unita di Salerno, Universita di Salerno, via S. Allende, I84081 Baronissi (Saudi Arabia) (Italy)
 Institute for Electronics, Bulgarian Academy of Sciences, Blvd. Tzarigradsko chaussee 72, 1784 Sofia (Bulgaria)
 Publication Date:
 OSTI Identifier:
 20779248
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevE.73.046606; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSEEINSTEIN CONDENSATION; NONLINEAR PROBLEMS; PERIODICITY; PERTURBATION THEORY; POTENTIALS; SCHROEDINGER EQUATION; SOLITONS
Citation Formats
Gerdjikov, V.S., Baizakov, B.B., Salerno, M., and Kostov, N.A. Adiabatic Nsoliton interactions of BoseEinstein condensates in external potentials. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVE.73.0.
Gerdjikov, V.S., Baizakov, B.B., Salerno, M., & Kostov, N.A. Adiabatic Nsoliton interactions of BoseEinstein condensates in external potentials. United States. doi:10.1103/PHYSREVE.73.0.
Gerdjikov, V.S., Baizakov, B.B., Salerno, M., and Kostov, N.A. Sat .
"Adiabatic Nsoliton interactions of BoseEinstein condensates in external potentials". United States.
doi:10.1103/PHYSREVE.73.0.
@article{osti_20779248,
title = {Adiabatic Nsoliton interactions of BoseEinstein condensates in external potentials},
author = {Gerdjikov, V.S. and Baizakov, B.B. and Salerno, M. and Kostov, N.A.},
abstractNote = {A perturbed version of the complex Toda chain (CTC) has been employed to describe adiabatic interactions within an Nsoliton train of the nonlinear Schroedinger equation. Perturbations induced by weak quadratic and periodic external potentials are studied by both analytical and numerical means. It is found that the perturbed CTC adequately models the Nsoliton train dynamics for both types of potentials. As an application of the developed theory, we consider the dynamics of a train of matterwave solitons confined to a parabolic trap and optical lattice, as well as tilted periodic potentials. In the last case, we demonstrate that there exist critical values of the strength of the linear potential for which one or more localized states can be extracted from a soliton train. An analytical expression for these critical strengths for expulsion is also derived.},
doi = {10.1103/PHYSREVE.73.0},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 4,
volume = 73,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}

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