Chaotic level mixing in a two-band Bose-Hubbard model

TL;DR

This paper investigates the non-equilibrium dynamics of a two-band Bose-Hubbard model, revealing chaotic level mixing and generalizing Landau-Zener transitions to many-body quantum systems.

Contribution

It introduces a minimal two-band Bose-Hubbard model at resonant tunneling and studies its dynamics through sweeping across avoided level crossings.

Findings

Chaotic level mixing observed in the model.

Generalization of Landau-Zener transitions to many-body systems.

Characterization of non-equilibrium dynamics via observables.

Abstract

We present a two-band Bose-Hubbard model which is shown to be minimal in the necessary coupling terms at resonant tunneling conditions. The dynamics of the many-body problem is studied by sweeping the system across an avoided level crossing. The linear sweep generalizes Landau-Zener transitions from single-particle to many-body realizations. The temporal evolution of single- and two-body observables along the sweeps is investigated in order to characterize the non-equilibrium dynamics in our complex quantum system.