Berlin 2014 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 29: Ultra-cold atoms, ions and BEC III (with Q)
A 29.6: Vortrag
Mittwoch, 19. März 2014, 15:30–15:45, UDL HS3038
Microscopic description of Bose-Einstein condensates in complex potentials — •Dennis Dast, Daniel Haag, Holger Cartarius, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart
Bose-Einstein condensates with balanced gain and loss are described in mean-field approximation by a non-Hermitian but PT-symmetric Gross-Pitaevskii equation. To gain a deeper understanding of the non-Hermitian Hamiltonian a microscopic treatment of the incoupling and outcoupling of particles is necessary. We do this by modelling the open system as a subsystem of a closed system. The complete system including the environment is described, on the one hand, by a many-particle Bose-Hubbard Hamiltonian. On the other hand, a Lindblad master equation is used to describe gain and loss in the open quantum system. The behaviour of the Bose-Hubbard Hamiltonian and the Lindblad master equation are compared with the non-Hermitian mean-field description.