Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field

Abstract

We use a self-consistent strong-coupling expansion for the self-energy (perturbation theory in the hopping) to describe the nonequilibrium dynamics of strongly correlated lattice fermions. We study the three-dimensional homogeneous Fermi-Hubbard model driven by an external electric field showing that the damping of the ensuing Bloch oscillations depends on the direction of the field, and that for a broad range of field strengths, a long-lived transient prethermalized state emerges. This long-lived transient regime implies that thermal equilibrium may be out of reach of the time scales accessible in present cold atom experiments, but shows that an interesting new quasi-universal transient state exists in nonequilibrium governed by a thermalized kinetic energy but not a thermalized potential energy. In addition, when the field strength is equal in magnitude to the interaction between atoms, the system undergoes a rapid thermalization, characterized by a different quasi-universal behavior of the current and spectral function for different values of the hopping.

(5 pages, 5 figures, ReVTeX)

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• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Quenching Bloch oscillations in a strongly correlated material
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
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Cited by in corpus (10)

• Nonequilibrium dynamical mean-field theory and its applications
• Dielectric breakdown of Mott insulators -- doublon production and doublon heating
• Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation
• Thermalization of field driven quantum systems
• Exact solution for Bloch oscillations of a simple charge-density-wave insulator
• Theoretical Description of Coherent Doublon Creation via Lattice Modulation Spectroscopy
• Exact solution of two simple non-equilibrium electron-phonon and electron-electron coupled systems: the atomic limit of the Holstein-Hubbard model and the generalized Hatsugai-Komoto model
• Simulation of inhomogeneous distributions of ultracold atoms in an optical lattice via a massively parallel implementation of nonequilibrium strong-coupling perturbation theory
• Feshbach modulation spectroscopy
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model