Dresden 2009 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 34: Postersession Matter at Low Temperature: Quantum Liquids, Bose-Einstein Condensates, Ultra-Cold Atoms
TT 34.6: Poster
Wednesday, March 25, 2009, 14:00–18:00, P1A
Mean-field dynamics of a non-hermitian Bose-Hubbard dimer — •Astrid Elisa Niederle1, Hans Jürgen Korsch2, and Eva Maria Graefe2 — 1Theoretical Physics, Saarland University, D-66041 Saarbrücken — 2FB Physik, TU Kaiserslautern, D-67653 Kaiserslautern
We investigate an N-particle Bose-Hubbard dimer with an additional effective decay term in one of the sites. A mean-field approximation for this non-hermitian many-particle system is derived, based on a coherent state approximation. The resulting nonlinear, non-hermitian two-level dynamics, in particular the fixed point structures showing characteristic modifications of the self trapping transition, are analyzed. The mean-field dynamics is found to be in reasonable agreement with the full many-particle evolution.