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

TL;DR

This paper investigates a two-band Wannier-Stark model to understand how spectral properties influence many-body dynamics, revealing a transition from regular to chaotic behavior during resonant tunneling.

Contribution

It introduces a two-band Bose-Hubbard model for studying many-body resonant tunneling and analyzes the spectral transition from regular to chaotic regimes.

Findings

Spectral properties determine state evolution during Landau-Zener processes.

A crossover from regular to chaotic spectra is observed at resonant tunneling.

The model provides insights into non-equilibrium dynamics of many-body quantum systems.

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.