Fermi-Ulam problem for solitons

Nikolay N. Rosanov and Nina V. Vysotina
Phys. Rev. A 91, 013622 – Published 21 January 2015

Abstract

Dynamics of solitons in a one-dimensional trap with motionless and moving walls is studied by the example of bright solitons of an atomic Bose-Einstein condensate. Newton-type equations of the soliton's center motion are proposed and analyzed, and regimes of periodic, almost-periodic, and deterministically chaotic dynamics are presented. The predictions based on these approximate equations are in excellent agreement with that based on the Gross-Pitaevskii equation in the case of sufficiently narrow and slow solitons.

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  • Received 22 September 2014

DOI:https://doi.org/10.1103/PhysRevA.91.013622

©2015 American Physical Society

Authors & Affiliations

Nikolay N. Rosanov1,2,3,* and Nina V. Vysotina1

  • 1Vavilov State Optical Institute, 199053 St. Petersburg, Russia
  • 2St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), 197101 St. Petersburg, Russia
  • 3Ioffe Physical Technical Institute, 194021 St. Petersburg, Russia

  • *nrosanov@yahoo.com

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Issue

Vol. 91, Iss. 1 — January 2015

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