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Landau dynamics of a grey soliton in a trapped condensate

Abstract

It is shown that grey soliton dynamics in a one-dimensional trap can be treated within the framework of the local density approximation as Landau dynamics of a quasiparticle. A soliton of arbitrary amplitude moves in the trapping potential without deformation of its density profile as a particle of mass 2m. The dynamics in the local density approximation is shown to be consistent with the perturbation theory for dark solitons. Dynamics of a vortex ring in a trap is discussed qualitatively.
Authors:
Konotop, Vladimir V; [1]  Pitaevskii, Lev; [2]  Kapitza Institute for Physical Problems, 119334 Moscow (Russian Federation)]
  1. Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisboa 1649-003 (Portugal)
  2. Dipartimento di Fisica, Universita di Trento and Istituto Nazionale per la Fisica della Materia, CRS-BEC, 38050 Trento (Italy)
Publication Date:
Dec 10, 2004
Product Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 93; Journal Issue: 24; Other Information: DOI: 10.1103/PhysRevLett.93.240403; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); PBD: 10 Dec 2004
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; BOSE-EINSTEIN CONDENSATION; DENSITY FUNCTIONAL METHOD; MASS; ONE-DIMENSIONAL CALCULATIONS; PARTICLES; PERTURBATION THEORY; POTENTIALS; RINGS; SOLITONS; TRAPPING; TRAPS; VORTICES
OSTI ID:
20621550
Country of Origin:
United States
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US05A6388065200
Submitting Site:
INIS
Size:
page(s) 240403-240403.4
Announcement Date:
Aug 28, 2005

Citation Formats

Konotop, Vladimir V, Pitaevskii, Lev, and Kapitza Institute for Physical Problems, 119334 Moscow (Russian Federation)]. Landau dynamics of a grey soliton in a trapped condensate. United States: N. p., 2004. Web. doi:10.1103/PhysRevLett.93.240403.
Konotop, Vladimir V, Pitaevskii, Lev, & Kapitza Institute for Physical Problems, 119334 Moscow (Russian Federation)]. Landau dynamics of a grey soliton in a trapped condensate. United States. https://doi.org/10.1103/PhysRevLett.93.240403
Konotop, Vladimir V, Pitaevskii, Lev, and Kapitza Institute for Physical Problems, 119334 Moscow (Russian Federation)]. 2004. "Landau dynamics of a grey soliton in a trapped condensate." United States. https://doi.org/10.1103/PhysRevLett.93.240403.
@misc{etde_20621550,
title = {Landau dynamics of a grey soliton in a trapped condensate}
author = {Konotop, Vladimir V, Pitaevskii, Lev, and Kapitza Institute for Physical Problems, 119334 Moscow (Russian Federation)]}
abstractNote = {It is shown that grey soliton dynamics in a one-dimensional trap can be treated within the framework of the local density approximation as Landau dynamics of a quasiparticle. A soliton of arbitrary amplitude moves in the trapping potential without deformation of its density profile as a particle of mass 2m. The dynamics in the local density approximation is shown to be consistent with the perturbation theory for dark solitons. Dynamics of a vortex ring in a trap is discussed qualitatively.}
doi = {10.1103/PhysRevLett.93.240403}
journal = []
issue = {24}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Dec}
}