Diagrammatic Monte Carlo simulation of non-equilibrium systems

Abstract

We generalize the recently developed diagrammatic Monte Carlo techniques for quantum impurity models from an imaginary time to a Keldysh formalism suitable for real-time and nonequilibrium calculations. Both weak-coupling and strong-coupling based methods are introduced, analysed and applied to the study of transport and relaxation dynamics in interacting quantum dots.

References in corpus (23)

• Kondo Physics in a Single Electron Transistor
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• A Tunable Kondo Effect in Quantum Dots
• A continuous-time solver for quantum impurity models
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• The Kondo Effect in the Unitary Limit
• The ALPS project release 1.3: open source software for strongly correlated systems
• Continuous Time Quantum Monte Carlo method for fermions
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Real-time path integral approach to nonequilibrium many-body quantum system
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Transient dynamics of the Anderson impurity model out of equilibrium
• Perturbative Approach to the Nonequilibrium Kondo Effect in a Quantum Dot
• Applying Adaptive Time-Dependent DMRG to Calculate the Conductance of Strongly Correlated Nanostructures
• A quantum Monte-Carlo method for fermions, free of discretization errors
• Time-dependent DMRG Study on Quantum Dot under a Finite Bias Voltage
• A Numerical Renormalization Group approach to Non-Equilibrium Green's Functions for Quantum Impurity Models
• Spin dynamics and violation of the fluctuation dissipation theorem in a non-equilibrium ohmic spin boson model
• Transient current in a quantum dot asymmetrically coupled to metallic leads
• Mean-field results on the Anderson impurity model out of equilibrium

Cited by in corpus (217)

• Non-Hermitian Physics
• Continuous-time Monte Carlo methods for quantum impurity models
• Nonequilibrium dynamical mean-field theory and its applications
• Nonthermal pathways to ultrafast control in quantum materials
• Dynamical phase transition in correlated fermionic lattice systems
• Light-induced emergent phenomena in 2D materials and topological materials
• 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
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• Memory Effects In Nonequilibrium Quantum Impurity Models
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
• Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
• First order dynamical phase transitions
• Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
• Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: theory and application to the current-voltage characteristics of the Anderson model
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Thermalization of a pump-excited Mott insulator
• Comparative study of theoretical methods for nonequilibrium quantum transport
• Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
• Updated Core Libraries of the ALPS Project
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Multiple steady-states in nonequilibrium quantum systems with electron-phonon interactions
• Charge transport through single molecules, quantum dots, and quantum wires
• Quantum flutter of supersonic particles in one-dimensional quantum liquids
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
• Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
• Numerically exact, time-dependent treatment of vibrationally coupled electron transport in single-molecule junctions
• Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
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• Transport through an Anderson impurity: Current ringing, non-linear magnetization and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
• Green's functions from real-time bold-line Monte Carlo
• Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
• Damping of Bloch oscillations in the Hubbard model
• Numerically Exact Long Time Behavior of Nonequilibrium Quantum Impurity Models
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• Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
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• Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
• Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
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• Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
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• An efficient method for quantum impurity problems out of equilibrium
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• Dynamical synchronization transition in interacting electron systems
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• Ultrafast Dynamics of Strongly Correlated Fermions -- Nonequilibrium Green Functions and Selfenergy Approximations
• Solving quantum impurity problems in and out of equilibrium with variational approach
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• Sub-Ohmic to super-Ohmic crossover behavior in nonequilibrium quantum systems with electron-phonon interactions
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• Exact Calculation of the Time Convolutionless Master Equation Generator: Application to the Nonequilibrium Resonant Level Model
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• Multiple amplitude modes in strongly-coupled phonon-mediated superconductors
• Repulsion-to-attraction transition in correlated electron systems triggered by a monocycle pulse
• Entropy-cooled nonequilibrium states of the Hubbard model
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• Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
• Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
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• Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
• A Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
• Application of a semiclassical model for the second-quantized many-electron Hamiltonian to nonequilibrium quantum transport: The resonant level model
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• Spatial and temporal propagation of Kondo correlations
• Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
• Nonequilibrium dynamical mean field simulation of inhomogeneous systems
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• Nonequilibrium dynamical cluster theory
• Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
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• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• A Tensor Train Continuous Time Solver for Quantum Impurity Models
• Nonequilibrium steady state for strongly-correlated many-body systems: variational cluster approach
• Nonequilibrium transport in quantum impurity models: Exact path integral simulations
• Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
• Landauer Current and Mutual Information
• Continuous-Time Quantum Monte Carlo and Maximum Entropy Approach to an Imaginary-Time Formulation of Strongly Correlated Steady-State Transport
• Lead Geometry and Transport Statistics in Molecular Junctions
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• Nonequilibrium Anderson model made simple with density functional theory
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• Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
• Photo-induced nonequilibrium states in Mott insulators
• Flow Equation Calculation of Transient and Steady State Currents in the Anderson Impurity Model
• A multilayer multiconfiguration time-dependent Hartree study of the nonequilibrium Anderson impurity model at zero temperature
• 1/N expansion of the nonequilibrium infinite-U Anderson Model
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Simulation of time-dependent resonant inelastic X-ray scattering using non-equilibrium dynamical mean-field theory
• Imaginary-time formulation of steady-state nonequilibrium in quantum dot models
• Quantum Monte Carlo study of nonequilibrium transport through a quantum dot coupled to normal and superconducting leads
• Analytical solution for time-integrals in diagrammatic expansions: application to real-frequency diagrammatic Monte Carlo
• Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Energy dissipation in DC-field driven electron lattice coupled to fermion baths
• Nonequilibrium self-energy functional theory
• Slow down of the electronic relaxation close to the Mott transition
• Inclusion-Exclusion Principle for Open Quantum Systems with Bosonic Bath
• Generalized input-output method: A new route to quantum transport junctions
• Pseudoparticle vertex solver for quantum impurity models
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Cancellation of vacuum diagrams and long-time limit in out-of-equilibrium diagrammatic Quantum Monte Carlo
• Beyond the Hubbard bands in strongly correlated lattice bosons
• Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
• Relaxation dynamics of the Kondo lattice model
• A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport: The Anderson Impurity Model
• Out-of-time-ordered correlators of the Hubbard model: SYK strange metal in the spin freezing crossover region
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• A scalable numerical approach to the solution of the Dyson equation for the non-equilibrium single-particle Green's function
• Quantum quenches and driven dynamics in a single-molecule device
• Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
• A multi-fragment real-time extension of projected density matrix embedding theory: Non-equilibrium electron dynamics in extended systems
• Hamiltonian approach to the charge transfer statistics of Kondo quantum dots contacted by a normal metal and a superconductor
• Kondo effect and the fate of bistability in molecular quantum dots with strong electron-phonon coupling
• Reduced Dynamics of Full Counting Statistics
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Conservation laws in coupled cluster dynamics at finite-temperature
• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Accelerating Nonequilibrium Green functions simulations: the G1-G2 scheme and beyond
• Strong coupling impurity solver based on quantics tensor cross interpolation
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Optimal ramp shapes for the fermionic Hubbard model in infinite dimensions
• Light propagation through one-dimensional interacting open quantum systems
• Restricted phase-space approximation in real-time stochastic quantization
• Extracting spectral properties from Keldysh Green functions
• Non-equilibrium quantum transport through a dissipative resonant level
• Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
• Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Mott insulator breakdown through pattern formation
• The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems
• Prediction of femtosecond oscillations in the transient current of a quantum dot in the Kondo regime
• In memoriam Leonid V. Keldysh
• Symmetry breaking and restoration using the equation-of-motion technique for nonequilibrium quantum impurity models
• Variational approach to transport in quantum dots
• Exact interacting Green's function for the Anderson impurity at high bias voltages
• Nonequilibrium self-energy functional approach to the dynamical Mott transition
• On the Accuracy of the Noninteracting Electron Approximation for Vibrationally Coupled Electron Transport
• Nonequilibrium quantum dynamics of the magnetic Anderson model
• Simulations of the dynamics of quantum impurity problems with matrix product states
• Tree-based Implementation of the Small Matrix Path Integral for System-Bath Dynamics
• Semi-group influence matrices for non-equilibrium quantum impurity models
• Steady-state dynamical mean field theory based on influence functional matrix product states
• Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point
• Transient currents of a single molecular junction with a vibrational mode
• Double Occupancy and Magnetic Susceptibility of the Anderson Impurity Model out of Equilibrium
• Differential Equation Based Path Integral for System-Bath Dynamics
• Transient dynamical phase diagram of the spin-boson model
• Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
• The excitation operator approach to non-Markovian dynamics of quantum impurity models in the Kondo regime
• Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
• Quench dynamics of Anderson impurity model using configuration interaction method
• Modeling the metastable dynamics of correlated structures
• Local density of states on a vibrational quantum dot out of equilibrium
• A complete quasiclassical map for the dynamics of interacting fermions
• Nonequilibrium magnetic and superconducting phases in the two-dimensional Hubbard model coupled to electrodes
• Transport through a magnetic impurity: a slave-spin approach
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• The Anderson impurity model out of equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• Numerical operator method for the real time dynamics of strongly-correlated quantum impurity systems far from equilibrium
• Efficient Pseudomode Representation and Complexity of Quantum Impurity Models
• Renormalization group for open quantum systems using environment temperature as flow parameter
• Nonlinear Transport through Quantum Dots Studied by the Time-Dependent DMRG
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation
• Analytical Continuation Approaches to Electronic Transport: The Resonant Level Model
• AC transport in Correlated Quantum Dots: From Kondo to Coulomb blockade regime
• Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth
• Many-body wavefunctions for quantum impurities out of equilibrium
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Denoising of Imaginary Time Response Functions with Hankel projections
• Machine learning, quantum chaos, and pseudorandom evolution
• Parameter-free analytic continuation for quantum many-body calculations
• Solving real time evolution problems by constructing excitation operators
• Exact results for nonlinear ac-transport through a resonant level model
• Transport properties for a quantum dot coupled to normal leads with pseudogap
• Second-order functional renormalization group approach to quantum wires out of equilibrium
• Addressing general measurements in quantum Monte Carlo
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Current noise in quantum dot thermoelectric engines
• Third-order strong-coupling impurity solver for real-frequency DMFT: Accurate spectral functions for antiferromagnetic and photo-doped states
• The numerical operator method to the real time dynamics of currents through the nanostructures with different topologies
• Inchworm Monte Carlo method for open quantum systems
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Enforcing conservation laws in nonequilibrium cluster perturbation theory
• Exact description of fermionic reservoirs via purified damped ancillary fermions
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Spin current through an ESR quantum dot: A real-time study
• Nonequilibrium transport through a quantum dot coupled to normal and superconducting leads
• Charge density wave breakdown in a heterostructure with electron-phonon coupling