Nonequilibrium dynamical cluster theory

Abstract

We study the effect of spatially nonlocal correlations on the nonequilibrium dynamics of interacting fermions by constructing the nonequilibrium dynamical cluster theory, a cluster generalization of the nonequilibrium dynamical mean-field theory (DMFT). The formalism is applied to interaction quenches in the Hubbard model in one and two dimensions, and the results are compared with data from single-site DMFT, the time-dependent density matrix renormalization group, and lattice perturbation theory. Both in one and two dimensions the double occupancy quickly thermalizes, while the momentum distribution relaxes only on much longer time scales. For the two-dimensional square lattice we find a strongly momentum-dependent evolution of the momentum distribution around the Fermi energy, with a much faster relaxation near the momenta $(0,\pi )$ and $(\pi ,0)$ than near $(\pi /2,\pi /2)$. This result is interpreted as reflecting the momentum-anisotropic quasiparticle lifetime of the marginal Fermi liquid. The method is further applied to the two-dimensional Hubbard model driven by a dc electric field, where the damping of the Bloch oscillation of the current is found to be less effective than predicted by DMFT and lattice perturbation theory.

References in corpus (20)

• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Nonequilibrium dynamical mean-field theory and its applications
• The ALPS project release 1.3: open source software for strongly correlated systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Strongly correlated fermions after a quantum quench
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
• Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Luttinger liquid universality in the time evolution after an interaction quench
• Nonthermal symmetry broken states in the strongly interacting Hubbard model
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Dynamical Transition in Interaction Quenches of the One-Dimensional Hubbard Model
• Non-equilibrium cluster-perturbation theory
• Interaction quenches in the two-dimensional fermionic Hubbard model

Cited by in corpus (28)

• Nonequilibrium dynamical mean-field theory and its applications
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations
• Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains
• Time-dependent many-variable variational Monte Carlo method for nonequilibrium strongly correlated electron systems
• Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics
• Truncating the memory time in nonequilibrium DMFT calculations
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Typicality of Prethermalization
• Photo-induced phase transition and associated time scales in the excitonic insulator Ta${}_2$NiSe${}_5$
• Non-thermal melting of Neel order in the Hubbard model
• Photo-induced nonequilibrium states in Mott insulators
• Photo-enhanced excitonic correlations in a Mott insulator with nonlocal interactions
• Nonequilibrium Steady States and Resonant Tunneling in Time-Periodically Driven Systems with Interactions
• Nonequilibrium Two-Particle Self-Consistent Approach
• Update of $\mathcal{H}\Phi$: Newly added functions and methods in versions 2 and 3
• Accelerating Nonequilibrium Green functions simulations: the G1-G2 scheme and beyond
• Nonequilibrium Dynamical Cluster Approximation study of the Falicov-Kimball Model
• Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• Spreading of correlations in the Falicov-Kimball model
• Electrically driven insulator-to-metal transition in a correlated insulator: Electronic mechanism and thermal description
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Spin correlations in the bilayer Hubbard model with perpendicular electric field
• Quasi-particle propagation across semiconductor-Mott insulator interfaces
• Momentum-dependent relaxation dynamics of the doped repulsive Hubbard model
• Enforcing conservation laws in nonequilibrium cluster perturbation theory