Nonequilibrium Two-Particle Self-Consistent Approach

Abstract

We present the nonequilibrium implementation of the two-particle self-consistent (TPSC) approach, which has been shown to provide a reliable equilibrium description of interacting lattice systems in the weak- and intermediate-correlation regime. This method captures the effects of local and nonlocal correlations in two- and higher-dimensional systems and satisfies the Mermin-Wagner theorem. We demonstrate the versatility of nonequilibrium TPSC with calculations of the time-dependent spin and charge response functions and the evolution of effective temperatures extracted from different correlation functions, after interaction ramps in the two-dimensional Hubbard model.

arXiv comment6 pages, 3 figures

References in corpus (41)

• Quantum Cluster Theories
• Nonequilibrium dynamical mean-field theory and its applications
• Interaction Quench in the Hubbard model
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Diagrammatic Monte Carlo
• Dual boson approach to collective excitations in correlated fermionic systems
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• NESSi: The Non-Equilibrium Systems Simulation package
• Charge dynamics in molecular junctions: Nonequilibrium Green's Function approach made fast
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Theory of single-particle properties of the Hubbard model
• Theory of spin and charge fluctuations in the Hubbard model
• On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime
• Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections
• Antiferromagnetic fluctuations and d-wave superconductivity in electron-doped high-temperature superconductors
• First-principles nonequilibrium Green's function approach to transient photoabsorption: Application to atoms
• Real-time GW: Toward an ab initio description of the ultrafast carrier and exciton dynamics in two-dimensional materials
• Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations
• Generic optical excitations of correlated systems: $\pi$-tons
• Low rank compression in the numerical solution of the nonequilibrium Dyson equation
• Multi-band non-equilibrium GW+EDMFT formalism for correlated insulators
• Nonequilibrium GW+EDMFT: Antiscreening and inverted populations from nonlocal correlations
• Truncating the memory time in nonequilibrium DMFT calculations
• Nearest-Neighbor Repulsion and Competing Charge and Spin Order in the Extended Hubbard Model
• Nonequilibrium dynamical cluster theory
• Non-equilibrium cluster-perturbation theory
• Non-local correlations in Iron Pnictides and Chalcogenides
• Collective modes in the paramagnetic phase of the Hubbard model
• Memory truncated Kadanoff-Baym equations
• Photo-enhanced excitonic correlations in a Mott insulator with nonlocal interactions
• Electronic and fluctuation dynamics following a quench to the superconducting phase
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Diagrammatic study of optical excitations in correlated systems
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• A general algorithm for calculating irreducible Brillouin zones
• Non-equilibrium evolution of the optical conductivity of the weakly interacting Hubbard model: Drude response and $\pi$-ton type vertex corrections
• Photo-induced Dirac cone flattening in BaNiS${}_2$
• Nonequilibrium variational-cluster approach to real-time dynamics in the Fermi-Hubbard model

Cited by in corpus (12)

• Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains
• Photo-induced nonequilibrium states in Mott insulators
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• An Improved Two-Particle Self-Consistent Approach
• Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach
• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Spin correlations in the bilayer Hubbard model with perpendicular electric field
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• Multi-orbital two-particle self-consistent approach -- strengths and limitations