Quantum chaos of bogoliubov waves for a bose-einstein condensate in stadium billiards.
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.
Department of Physics, The University of Texas, Austin, Texas 78712-1081, USA.
Chuanwei
C
Zhang
Jie
J
Liu
Mark G
MG
Raizen
Qian
Q
Niu