Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards
arXiv:cond-mat/0404420 · doi:10.1103/PhysRevLett.93.074101
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.
arXiv commentminor change, 4 pages, 4 figures, to appear in Phys. Rev. Lett
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