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Phys. Rev. E 78, 036215 (2008) [6 pages]

Controlling chaos of a Bose-Einstein condensate loaded into a moving optical Fourier-synthesized lattice

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R. Chacón1, D. Bote2, and R. Carretero-González3,*
1Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain
2Departamento de Matemáticas, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain
3Nonlinear Dynamical Systems Group,† Computational Science Research Center,‡ and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA

Received 5 July 2008; published 12 September 2008

We study the chaotic properties of steady-state traveling-wave solutions of the particle number density of a Bose-Einstein condensate with an attractive interatomic interaction loaded into a traveling optical lattice of variable shape. We demonstrate theoretically and numerically that chaotic traveling steady states can be reliably suppressed by small changes of the traveling optical lattice shape while keeping the remaining parameters constant. We find that the regularization route as the optical lattice shape is continuously varied is fairly rich, including crisis phenomena and period-doubling bifurcations. The conditions for a possible experimental realization of the control method are discussed.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.036215
DOI:
10.1103/PhysRevE.78.036215
PACS:
05.45.Ac, 03.75.Lm, 03.75.Kk

*http://www.rohan.sdsu.edu/∼rcarrete/

http://nlds.sdsu.edu/

http://www.csrc.sdsu.edu/