Controlling directed transport of matter-wave solitons using the ratchet effect

M. Rietmann, R. Carretero-González, and R. Chacón
Phys. Rev. A 83, 053617 – Published 16 May 2011

Abstract

We demonstrate that directed transport of bright solitons formed in a quasi-one-dimensional Bose-Einstein condensate can be reliably controlled by tailoring a weak optical lattice potential, biharmonic in both space and time, in accordance with the degree of symmetry breaking mechanism. By considering the regime where matter-wave solitons are narrow compared to the lattice period, (i) we propose an analytical estimate for the dependence of the directed soliton current on the biharmonic potential parameters that is in good agreement with numerical experiments, and (ii) we show that the dependence of the directed soliton current on the number of atoms is a consequence of the ratchet universality.

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  • Received 3 January 2011

DOI:https://doi.org/10.1103/PhysRevA.83.053617

©2011 American Physical Society

Authors & Affiliations

M. Rietmann1,*, R. Carretero-González1, and R. Chacón2

  • 1Nonlinear Dynamical Systems Group,† and Computational Science Research Center and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA
  • 2Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06006 Badajoz, Spain

  • *Present address: Department of Computer Science, Universität Basel, Klingelbergstrasse 50, CH-4056 Basel, Switzerland.
  • http://nlds.sdsu.edu

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Vol. 83, Iss. 5 — May 2011

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