Modeling of Bose–Einstein condensation in a water tank

Rousseaux, Germain and Stepanyants, Yury (2018) Modeling of Bose–Einstein condensation in a water tank. In: Nonlinear waves and pattern dynamics. Springer International Publishing, Cham, Switzerland, pp. 91-102. ISBN 978-3-319-78192-1

Abstract

A theoretical basis for the possibility to emulate Bose–Einstein condensates (BEC) in a water tank is elaborated. It is shown that the equation governing the mean-field BEC dynamics, viz., the Gross–Pitaevskii (GP) equation, can be derived in the same form for surface water waves in a tank with a spatially varying background current. Depending on the wavenumber of the carrier wave, the GP equation for the surface waves is tantamount to the GP equation corresponding to the attractive or repulsive inter-atomic interactions in BEC. The external potential in the effective GP equation can be easily implemented in the water tank with an uneven bottom featuring a well or hump. Examples of particular stable exact solutions of the GP equation with the effective potential are presented. Estimates for physical parameters of the hydrodynamic setting are given.


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Item Type: Book Chapter (Commonwealth Reporting Category B)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version, in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 28 May 2018 00:05
Last Modified: 19 Jun 2018 05:04
Uncontrolled Keywords: Bose–Einstein condensation, Gross–Pitaevskii equation, laboratory modelling, water tank, exact solution, solitary wave
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
02 Physical Sciences > 0204 Condensed Matter Physics > 020403 Condensed Matter Modelling and Density Functional Theory
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1007/978-3-319-78193-8
URI: http://eprints.usq.edu.au/id/eprint/34096

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