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arXiv · 1207.4699

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

Carlos A. Parra-Murillo·Javier Madroñero·Sandro Wimberger
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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.

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Carlos A. Parra-Murillo, Javier Madroñero, Sandro Wimberger. 2013-06-11. A two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system. https://doi.org/10.1103/physreva.88.032119

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