2004/04/30 by Chuanwei Zhang, Jie Liu, Mark G. Raizen +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.soft #cond-mat.stat-mech #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevlett.93.074101
published as Phys. Rev. Lett. 93, 074101 (2004) · minor change, 4 pages, 4 figures, to appear in Phys. Rev. Lett
arxiv created 2004/06/18 · openalex publication_date 2004/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 noninteracting 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.