Nonlinear Landau-Zener tunneling in quantum phase space

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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:

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Sum total of downloads: 146

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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pos. country downloads
total perc.
1 image of flag of Germany Germany 133 91.10%
2 image of flag of China China 4 2.74%
3 image of flag of United States United States 3 2.05%
4 image of flag of United Kingdom United Kingdom 2 1.37%
5 image of flag of Japan Japan 1 0.68%
6 image of flag of Denmark Denmark 1 0.68%
7 image of flag of Cameroon Cameroon 1 0.68%
8 image of flag of Australia Australia 1 0.68%

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