Steady-state dynamical mean field theory based on influence functional matrix product states

Abstract

We implement the recently developed influence functional matrix product states approach as impurity solver in equilibrium and nonequilibrium dynamical mean field theory (DMFT) calculations of the single-band Hubbard model. The method yields numerically exact descriptions of metallic states without sharp spectral features, at a moderate numerical cost. Systems with narrow quasiparticle or spin-polaron peaks, as well as low-temperature Mott insulators provide more challenges, since these simulations require long time contours or high bond dimensions. A promising field of application is the DMFT simulation of nonequilibrium steady states, which we demonstrate with results for photo-doped Mott systems with long-lived doublon and holon populations.

23 pages, 10 figures

References in corpus (48)

• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body systems
• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• A continuous-time solver for quantum impurity models
• Strong electronic correlations from Hund's coupling
• Nonequilibrium dynamical mean-field theory and its applications
• Continuous Time Quantum Monte Carlo method for fermions
• Coherence-incoherence crossover in the normal state of iron-oxypnictides and importance of the Hund's rule coupling
• First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• Real-time path integral approach to nonequilibrium many-body quantum system
• Nonequilibrium dynamical mean-field theory
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model
• Taming the dynamical sign problem in real-time evolution of quantum many-body problems
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Matrix Product States for dynamical simulation of infinite chains
• Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
• High-Harmonic Generation in Mott Insulators
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Dielectric breakdown of Mott insulators in dynamical mean-field theory
• Lifetime of double occupancies in the Fermi-Hubbard model
• Photo-induced states in a Mott insulator
• Multitier self-consistent $GW$+EDMFT
• Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver
• Chebyshev expansion for Impurity Models using Matrix Product States
• Learning Feynman Diagrams with Tensor Trains
• Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
• Compression of Correlation Matrices and an Efficient Method for Forming Matrix Product States of Fermionic Gaussian States
• Electronic orders in multi-orbital Hubbard models with lifted orbital degeneracy
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Connecting Entanglement in Time and Space: Improving the Folding Algorithm
• An efficient method for quantum impurity problems out of equilibrium
• Real time evolution of Anderson impurity models via tensor network influence functionals
• Single-Particle Dynamics in the Vicinity of the Mott-Hubbard Metal-to-Insulator Transition
• Nonequilibrium steady states of electric-field driven Mott insulators
• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
• Doublon-holon origin of the subpeaks at the Hubbard band edges
• Multi-band non-equilibrium GW+EDMFT formalism for correlated insulators
• Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians
• Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
• Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
• Nonequilibrium steady-state theory of photodoped Mott insulators
• Equilibrium Quantum Impurity Problems via Matrix Product State Encoding of the Retarded Action
• Strong coupling impurity solver based on quantics tensor cross interpolation
• Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour

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• Semi-group influence matrices for non-equilibrium quantum impurity models
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• Infinite Grassmann time-evolving matrix product operators for quantum impurity problems after a quench
• Uniform process tensor approach for the calculation of multi-time correlation functions of non-Markovian open systems
• Process Tensor Approaches to Non-Markovian Quantum Dynamics