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A two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

We study an experimentally realizable paradigm of complex many-body quantum systems, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body Landau-Zener processes can be engineered. A cross-over between regular to quantum chaotic spectra is found within the many-body avoided crossings at resonant tunneling conditions. The spectral properties are shown to determine the evolution of states across a cascade of Landau-Zener events. We apply the obtained spectral information to study the non-equilibrium dynamics of our many-body system in different parameter regimes.

preprint2013arXivOpen access
Carlos A. Parra-MurilloJavier MadroñeroSandro Wimberger
nlin.CDcond-mat.quant-gasquant-ph
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Carlos A. Parra-MurilloJavier MadroñeroSandro Wimberger

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