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 crossover between regular and 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 nonequilibrium dynamics of our many-body system in different parameter regimes.
Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system / Carlos A. Parra-Murillo;Javier Madroñero;Sandro Wimberger. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 88:3(2013), p. 032119. [10.1103/PhysRevA.88.032119]
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