A two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system
arXiv:1207.4699 · doi:10.1103/PhysRevA.88.032119
Abstract
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.
much extended and improved version (13 pages, 10 figures); comments are very welcome!
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