Damping of Bloch oscillations in the Hubbard model

Abstract

Using nonequilibrium dynamical mean-field theory, we study the isolated Hubbard model in a static electric field in the limit of weak interactions. Linear response behavior is established at long times, but only if the interaction exceeds a critical value, below which the system exhibits an AC-type response with Bloch oscillations. The transition from AC to DC response is defined in terms of the universal long-time behavior of the system, which does not depend on the initial condition.

4 pages, 3 figures

References in corpus (9)

• Nonequilibrium dynamics of closed interacting quantum systems
• Dynamical phase transition in correlated fermionic lattice systems
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Dielectric breakdown of Mott insulators in dynamical mean-field theory
• Thermalization of a pump-excited Mott insulator
• Quenching Bloch oscillations in a strongly correlated material
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Nonlinear current response of an isolated system of interacting fermions
• Interacting Fermionic Atoms in Optical Lattices Diffuse Symmetrically Upwards and Downwards in a Gravitational Potential

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