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Bogoliubov excitations in the quasiperiodic kicked rotor: Stability of a kicked condensate and the quasi–insulator-to-metal transition

Bogoliubov excitations in the quasiperiodic kicked rotor: Stability of a kicked condensate and the quasi–insulator-to-metal transition

We study the dynamics of a Bose-Einstein condensate in the quasiperiodic kicked rotor described by a Gross-Pitaevskii equation confined in a toroidal trap. As the interactions are increased, Bogoliubov excitations appear and deplete the condensate; we characterize this instability by considering the population of the first Bogoliubov mode, and we …