Non-equilibrium dynamics of the driven Hubbard model

Abstract

We investigate the dynamics of a two-dimensional Hubbard model in a static electric field in order to identify the conditions to reach a non-equilibrium stationary state. For a generic electric field, the convergence to a stationary state requires the coupling to a thermostating bath absorbing the work done by the external force. Following the real-time dynamics of the system, we show that a non-equilibrium stationary state is reached for essentially any value of the coupling to the bath. We map out a phase diagram in terms of dissipation and electric field strengths and identify the dissipation values in which steady current is largest for a given field.

6 pages, 6 figures

References in corpus (9)

• Dynamical phase transition in correlated fermionic lattice systems
• Nonequilibrium quantum criticality in open electronic systems
• Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
• Revealing the high-energy electronic excitations underlying the onset of high-temperature superconductivity in cuprates
• Quenching Bloch oscillations in a strongly correlated material
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
• Damping of Bloch oscillations in the Hubbard model
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Dimensional Crossover Driven by an Electric Field

Cited by in corpus (51)

• Nonequilibrium dynamical mean-field theory and its applications
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Photo-induced states in a Mott insulator
• Quantum Dynamics of the Hubbard-Holstein Model in Equilibrium and Non-Equilibrium: Application to Pump-Probe Phenomena
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Electric-field-driven resistive switching in dissipative Hubbard model
• Linked cluster expansions for open quantum systems on a lattice
• Nonequilibrium steady states of the electric-field-driven Mott insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric breakdown
• Ultrafast separation of photo-doped carriers in Mott antiferromagnets
• Nonequilibrium dynamical mean field simulation of inhomogeneous systems
• Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory
• Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
• Electronic transport and dynamics in correlated heterostructures
• Parametric instability in periodically driven Luttinger liquids
• Non-equilibrium Optical Conductivity: General Theory and Application to Transient Phases
• Dielectric breakdown of Mott insulators -- doublon production and doublon heating
• Microscopic Theory of Resistive Switching in Ordered Insulators: Electronic vs. Thermal Mechanism
• Transport Through a Correlated Interface: Auxiliary Master Equation Approach
• Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
• Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
• Energy dissipation in DC-field driven electron lattice coupled to fermion baths
• Polarity dependent heating at the phase interface in metal-insulator transitions
• Nonequilibrium self-energy functional theory
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Current characteristics of a one-dimensional Hubbard chain: The role of correlation and dissipation
• Voltage induced metal-insulator transition in a one dimensional charge density wave
• Control of Competing Superconductivity and Charge Order by Non-equilibrium Currents
• Impurity model for non-equilibrium steady states
• Correlated Mott insulators in strong electric fields: Role of phonons in heat dissipation
• Mott insulator breakdown through pattern formation
• In search for the pairing glue in cuprates by non-equilibrium optical spectroscopy
• Resonance Effects in Correlated Multilayer Heterostructures
• Electrically driven insulator-to-metal transition in a correlated insulator: Electronic mechanism and thermal description
• Keldysh field theory of a driven dissipative Mott insulator: nonequilibrium response and phase transitions
• Peltier effect in strongly driven quantum wires
• Correlated Mott insulators in a strong electric field: The effects of phonon renormalization
• Damping of Bloch oscillations: Variational solutions of the Boltzmann equation beyond linear response
• Orbital-selective thermalization plateau in the mass imbalanced Hubbard model
• Towards numerically exact computation of conductivity in the thermodynamic limit of interacting lattice models
• Dynamical Mean-Field Theory description of the voltage induced transition in a non-equilibrium superconductor
• Post-quench dynamics and suppression of thermalization in an open half-filled Hubbard layer
• Energy and particle currents in a driven integrable system
• Electric Quantum Oscillation in Weyl Semimetals
• Impact of disorder and phonons on the Hubbard bands of Mott insulators in strong electric fields
• Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches
• Iterated Perturbation Theory for Mott Insulators in a Static Electric Field with Optical Phonons
• Energy current and energy fluctuations in driven quantum wires