Quantum Simulation Meets Nonequilibrium Dynamical Mean-Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model

Nonequilibrium dynamical mean-field theory of strongly correlated electrons

We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time varying, electric field (neglecting all magnetic field effects). We show how to work with a manifestly gauge-invariant formalism, and compare numerical calcula...

Nonequilibrium dynamical mean-field theory.

The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0. We show how the Bloch oscillations are quenched by the electron-electron interactions, and how their character changes dramatically f...

Nonequilibrium dynamical mean-field theory

Chapter 1 Nonequilibrium dynamical mean - field theory of strongly correlated electrons

World Scientific Review Volume-9in x 6in paper Chapter 1 Nonequilibrium dynamical mean-field theory of strongly correlated electrons We present a review of our recent work in extending the successful dy-namical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time varying, electric field (...

Quenching Bloch oscillations in a strongly correlated material: Nonequilibrium dynamical mean-field theory

Dynamical mean-field theory is generalized to solve the nonequilibrium Keldysh boundary problem: a system is started in equilibrium at a temperature T=0.1, a uniform electric field is turned on at t=0, and the system is monitored as it approaches the steady state. The focus here is on the Bloch oscillations of the current and how they decay after their initial appearance near t=0. The system is...