Phys. Rev. E 64, 016607 (2001) [9 pages]

Interaction of two one-dimensional Bose-Einstein solitons: Chaos and energy exchange

Abstract

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Pavel V. Elyutin^1,2, Alexander V. Buryak¹, Vladimir V. Gubernov¹, Rowland A. Sammut¹, and Isaac N. Towers¹
¹School of Mathematics and Statistics, Australian Defence Force Academy, Canberra, ACT 2600, Australia
²Department of Physics, Moscow State University, Moscow 119899, Russia

Received 13 December 2000; published 22 June 2001

We analyze the bright soliton interactions of a Bose-Einstein condensate in quasi-one-dimensional traps putting an emphasis on integrability break down due to a trapping potential. In particular, we derive a simple analytical model, which describes well all major features of soliton dynamics including chaos and energy exchange between interacting solitons induced by the trapping potential.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.64.016607

DOI:

10.1103/PhysRevE.64.016607

PACS:

42.65.Tg

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Phys. Rev. E 64, 016607 (2001) [9 pages]

Interaction of two one-dimensional Bose-Einstein solitons: Chaos and energy exchange