Trimborn, F.; Witthaut, D.; Kegel, V.; Korsch, H. J.: Nonlinear Landau-Zener tunneling in quantum phase space. In: New Journal of Physics 12 (2010), 53010. DOI: https://doi.org/10.1088/1367-2630/12/5/053010
Abstract: | |
We present a detailed analysis of the Landau-Zener problem for an interacting Bose-Einstein condensate in a time-varying double-well trap, especially focusing 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 adiabaticity and thus fundamentally alters the dynamics. It is shown that essentially all the features of the Landau-Zener problem including the depletion of the condensate mode can be already understood within a semiclassical phase-space picture. In particular, this treatment resolves the formerly imputed incommutability of the adiabatic and semiclassical limits. The possibility of exploiting Landau-Zener sweeps to generate squeezed states for spectroscopic tasks is analyzed in detail. Moreover, we study the influence of phase noise and propose a Landau-Zener sweep as a sensitive yet readily implementable probe for decoherence, since the noise has significant effect on the transition rate for slow parameter variations. | |
License of this version: | CC BY-NC-SA 3.0 Unported |
Document Type: | Article |
Publishing status: | publishedVersion |
Issue Date: | 2010 |
Appears in Collections: | Fakultät für Mathematik und Physik |
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