Toggle Main Menu Toggle Search

Open Access padlockePrints

Dynamics of Shallow Dark Solitons in a Trapped Gas of Impenetrable Bosons

Lookup NU author(s): Professor Nikolaos Proukakis

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


Abstract

The dynamics of linear and nonlinear excitations in a Bose gas in the Tonks-Girardeau regime with longitudinal confinement are studied within a mean-field theory of quintic nonlinearity. A reductive perturbation method is used to demonstrate that the dynamics of shallow dark solitons, in the presence of an external potential, can effectively be described by a variable-coefficient Korteweg–de Vries equation. The soliton oscillation frequency is analytically obtained to be equal to the axial trap frequency, in agreement with numerical predictions obtained by Busch et al. [J. Phys. B 36, 2553 (2003)] via the Bose-Fermi mapping. We obtain analytical expressions for the evolution of both soliton and emitted radiation (sound) profiles.


Publication metadata

Author(s): Frantzeskakis DJ, Proukakis NP, Kevrekidis PG

Publication type: Article

Publication status: Published

Journal: Physical Review A: Atomic, Molecular and Optical Physics

Year: 2004

Volume: 70

Issue: 1

ISSN (print): 1050-2947

ISSN (electronic): 1094-1622

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevA.70.015601

DOI: 10.1103/PhysRevA.70.015601


Altmetrics

Altmetrics provided by Altmetric


Actions

Find at Newcastle University icon    Link to this publication


Share