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We present a detailed analysis of the Landau-Zener problem for an interacting Bose-Einstein condensate in a time-varying double-well trap, especially focussing on the relation between the full many-particle problem and the mean-field approximation. Due to the nonlinear self-interaction a dynamical instability occurs, which leads to a breakdown of… (More)

D. Witthaut,1,* F. Trimborn,2 H. Hennig,1 G. Kordas,3 T. Geisel,1 and S. Wimberger3 1Max Planck Institute for Dynamics and Self-Organization, D-37073 Göttingen, Germany 2Institut für Theoretische Physik, Leibniz Universität Hannover, D-30167 Hannover, Germany 3Institut für Theoretische Physik and Center for Quantum Dynamics, Universität Heidelberg, D-69120… (More)

- F. Trimborn
- 2008

We discuss the dynamics of an open two-mode Bose-Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the mean-field limit is derived resulting in an effective non-hermitian (discrete) Gross-Pitaevskii equation which has been introduced only phenomenologically up to now. The… (More)

- Dirk Witthaut, F. Trimborn, Sandro Wimberger
- Physical review letters
- 2008

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly interacting condensate as well as the response to an external driving show a pronounced stochastic resonance effect: Both quantities become maximal for a finite value of the dissipation rate matching the… (More)

The number-conserving quantum phase space description of the Bose-Hubbard model is discussed for the illustrative case of two and three modes, as well as the generalization of the two-mode case to an open quantum system. The phase-space description based on generalized SU M coherent states yields a Liouvillian flow in the macroscopic limit, which can be… (More)

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly interacting condensate, experimentally measured via the contrast in an interference experiment, as well as the response to an external driving becomes maximal for a finite value of the dissipation rate… (More)

The dynamical evolution of a Bose-Einstein condensate in an open optical lattice is studied. Based on the Bose-Hubbard model we rederive the mean-field limit for the case of an environmental coupling including dissipation and phase-noise. Moreover, we include the next order correlation functions to investigate the dynamical behavior beyond mean field. We… (More)

D. Witthaut,1,2,3 F. Trimborn,3,4 V. Kegel,3 and H. J. Korsch3 1Network Dynamics Group, Max Planck Institute for Dynamics and Self-Organization, D-37073 Göttingen, Germany 2QUANTOP, The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark 3Fachbereich Physik, Technische Universität Kaiserslautern, D-67663 Kaiserslautern, Germany… (More)

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