Carlos A. Parra-Murillo, Javier Madroñero, Sandro Wimberger
We study an experimentally realizable paradigm of a complex many-body quantum system, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body Landau-Zener processes can be engineered. A clean cross-over between regular to quantum chaotic spectra is found within the many-level avoided crossings at resonant tunneling conditions. The spectral properties determine the evolution of states across a cascade of Landau-Zener events, which can be used to study diffusion and to dynamically prepare target states interesting for experimental applications.
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http://arxiv.org/abs/1207.4699
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