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Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards
Chuanwei Zhang, Jie Liu, Mark G. Raizen +1
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 co…
Dynamical generation of two-dimensional matter-wave discrete solitons
Artem M. Dudarev, Roberto B. Diener, Qian Niu
We suggest a method to experimentally obtain two-dimensional matter-wave discrete solitons with a {\it self-repulsive} BEC in optical lattices. At the edge of the Brillouin zone, a…
Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
Artem M. Dudarev, Roberto B. Diener, Iacopo Carusotto +1
We show how spin-orbit coupling and Berry phase can appear in two-dimensional optical lattices by coupling atoms' internal degrees of freedom to radiation. The Rashba Hamiltonian,…
Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
Biao Wu, Qian Niu
Superflow of Bose-Einstein condensate in an optical lattice is represented by a Bloch wave, a plane wave with periodic modulation of the amplitude. We review the theoretical result…