Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium

ORAL

Abstract

We investigate the possibility of quantum (or wave) chaos for the Bogoliubov excitations of a Bose-Einstein condensate in billiards. Because of the mean field interaction in the condensate, the Bogoliubov excitations are very different from the single particle excitations in a non-interacting system. Nevertheless, we predict that the statistical distribution of level spacings is unchanged by mapping the non-Hermitian Bogoliubov operator to a real symmetric matrix. We numerically test our prediction by using a phase shift method for calculating the excitation energies.

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Authors

  • Chuanwei Zhang

    • Department of Physics and Center for Nonlinear Dynamics, The University of Texas, Austin, Texas 78712-1081, USA

  • Jie Liu

    • Institute of Applied Physics and Computational Mathematics, P.O.Box 100088, Beijing, P. R. of China

  • Mark Raizen

    • Department of Physics and Center for Nonlinear Dynamics, The University of Texas, Austin, Texas 78712-1081, USA

  • Qian Niu

    • Department of Physics, The University of Texas, Austin, Texas 78712-1081, USA