Transcritical flow of a Bose-Einstein condensate through a penetrable barrier

Leszczyszyn, A. M., El, Gennady, Gladush, Yu. G. and Kamchatnov, A. M. (2009) Transcritical flow of a Bose-Einstein condensate through a penetrable barrier. Physical Review A, 79 (6). 063608. ISSN 1050-2947

[img]
Preview
Text
Transcritical flow of a Bose-Einstein condensate through a penetrable barrier.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0.

Download (402kB) | Preview
Official URL: https://doi.org/10.1103/PhysRevA.79.063608

Abstract

The problem of the transcritical flow of a Bose-Einstein condensate through a wide repulsive penetrable barrier is studied analytically using the combination of the locally steady "hydraulic" solution of the one-dimensional Gross-Pitaevskii equation and the solutions of the Whitham modulation equations describing the resolution of the upstream and downstream discontinuities through dispersive shocks. It is shown that within the physically reasonable range of parameters, the downstream dispersive shock is attached to the barrier and effectively represents the train of very slow dark solitons, which can be observed in experiments. The rate of the soliton emission, the amplitudes of the solitons in the train, and the drag force are determined in terms of the Bose-Einstein condensate oncoming flow velocity and the strength of the potential barrier. Good agreement with direct numerical solutions is demonstrated. Connection with recent experiments is discussed.

Item Type: Article
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 15 Apr 2020 11:29
Last Modified: 15 Apr 2020 11:30
URI: http://nrl.northumbria.ac.uk/id/eprint/42778

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics