Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
arXiv:0808.0589 · doi:10.1103/PhysRevB.79.153302
Abstract
We propose a novel approach to nonequilibrium real-time dynamics of quantum impurities models coupled to biased non-interacting leads, such as those relevant to quantum transport in nanoscale molecular devices. The method is based on a Diagrammatic Monte Carlo sampling of the real-time perturbation theory along the Keldysh contour. We benchmark the method on a non-interacting resonant level model and, as a first non-trivial application, we study zero temperature non-equilibrium transport through a vibrating molecule.
5 pages, 3 figures
References in corpus (20)
- The numerical renormalization group method for quantum impurity systems
- A continuous-time solver for quantum impurity models
- Molecular Transport Junctions: Vibrational Effects
- Continuous Time Quantum Monte Carlo method for fermions
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Real-time path integral approach to nonequilibrium many-body quantum system
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Tuning the Kondo effect with a mechanically controllable break junction
- Unified description of inelastic propensity rules for electron transport through nanoscale junctions
- Efficient DMFT-simulation of the Holstein-Hubbard Model
- Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
- Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
- Transient dynamics of the Anderson impurity model out of equilibrium
- Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
- Vibration-induced correction to the current through a single molecule
- The Kondo Effect in Non-Equilibrium Quantum Dots: Perturbative Renormalization Group
- Semiclassical analysis of the Nonequilibrium Local Polaron
- Fermi liquid theory for the nonequilibrium Kondo effect at low bias voltages
Cited by in corpus (129)
- Non-Hermitian Physics
- Continuous-time Monte Carlo methods for quantum impurity models
- Nonequilibrium dynamical mean-field theory and its applications
- The Uniform Electron Gas at Warm Dense Matter Conditions
- Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
- 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
- The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
- Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: theory and application to the current-voltage characteristics of the Anderson model
- Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems
- Comparative study of theoretical methods for nonequilibrium quantum transport
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Multiple steady-states in nonequilibrium quantum systems with electron-phonon interactions
- Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
- Numerically exact, time-dependent treatment of vibrationally coupled electron transport in single-molecule junctions
- Non-perturbative stochastic method for driven spin-boson model
- Kondo memory in driven strongly-correlated quantum dots
- 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
- Numerically Exact Long Time Behavior of Nonequilibrium Quantum Impurity Models
- Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo
- Iterative summation of path integrals for nonequilibrium molecular quantum transport
- Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
- Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
- Green's function methods for single molecule junctions
- Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
- Numerically exact, time-dependent study of correlated electron transport in model molecular junctions
- Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
- An efficient method for quantum impurity problems out of equilibrium
- Time-dependent Landauer-Büttiker formula: application to transient dynamics in graphene nanoribbons
- Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
- Driven dissipative dynamics and topology of quantum impurity systems
- Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
- Solving quantum impurity problems in and out of equilibrium with variational approach
- The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
- Dynamics of Kondo voltage splitting after a quantum quench
- Quantum transport simulation scheme including strong correlations and its application to organic radicals adsorbed on gold
- Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
- Voltage quench dynamics of a Kondo system
- Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
- Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
- Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
- 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
- Spatial and temporal propagation of Kondo correlations
- Quantum Monte Carlo in the steady-state
- Quantum Monte Carlo solution of the dynamical mean field equations in real time
- Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
- Inclusion-Exclusion Principle for Many-Body Diagrammatics
- Anderson impurity model in nonequilibrium: analytical results versus quantum Monte Carlo data
- Numerically exact counting statistics of energy current in the Kondo regime
- Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
- Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
- Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
- A Tensor Train Continuous Time Solver for Quantum Impurity Models
- Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
- Nonequilibrium transport in quantum impurity models: Exact path integral simulations
- Many-Body Open Quantum Systems
- Lead Geometry and Transport Statistics in Molecular Junctions
- Continuous-Time Quantum Monte Carlo and Maximum Entropy Approach to an Imaginary-Time Formulation of Strongly Correlated Steady-State Transport
- Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
- Quantum Impurity Models coupled to Markovian and Non Markovian Baths
- A multilayer multiconfiguration time-dependent Hartree study of the nonequilibrium Anderson impurity model at zero temperature
- Flow Equation Calculation of Transient and Steady State Currents in the Anderson Impurity Model
- How to construct the proper gauge-invariant density matrix in steady-state nonequilibrium: Applications to spin-transfer and spin-orbit torques
- Iterative path integral summation for nonequilibrium quantum transport
- Effective Equilibrium Theory of Nonequilibrium Quantum Transport
- Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
- Functional renormalization group study of the Anderson--Holstein model
- Imaginary-time formulation of steady-state nonequilibrium in quantum dot models
- Thermodynamics of the polaron master equation at finite bias
- Disentangling thermal and non-thermal excited states in a charge-transfer insulator by time-and-frequency resolved pump-probe spectroscopy
- Analytical solution for time-integrals in diagrammatic expansions: application to real-frequency diagrammatic Monte Carlo
- Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
- Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
- Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
- Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
- Energy dissipation in DC-field driven electron lattice coupled to fermion baths
- Inclusion-Exclusion Principle for Open Quantum Systems with Bosonic Bath
- Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems
- Influence of phonon-assisted tunneling on the linear thermoelectric transport through molecular quantum dots
- 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
- Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
- A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport: The Anderson Impurity Model
- Quantum quenches and driven dynamics in a single-molecule device
- Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
- Reduced Dynamics of Full Counting Statistics
- Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
- Conservation laws in coupled cluster dynamics at finite-temperature
- Light propagation through one-dimensional interacting open quantum systems
- Exponential and power-law renormalization in phonon-assisted tunneling
- MLQD: A package for machine learning-based quantum dissipative dynamics
- Controlling the conductance of molecular junctions using proton transfer reactions: A theoretical model study
- Non-equilibrium quantum transport through a dissipative resonant level
- Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
- Mott insulator breakdown through pattern formation
- Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
- The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems
- On the Accuracy of the Noninteracting Electron Approximation for Vibrationally Coupled Electron Transport
- Symmetry breaking and restoration using the equation-of-motion technique for nonequilibrium quantum impurity models
- Variational approach to transport in quantum dots
- Nonequilibrium quantum dynamics of the magnetic Anderson model
- Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point
- Differential Equation Based Path Integral for System-Bath Dynamics
- Transient currents of a single molecular junction with a vibrational mode
- Local density of states on a vibrational quantum dot out of equilibrium
- The excitation operator approach to non-Markovian dynamics of quantum impurity models in the Kondo regime
- Transient dynamical phase diagram of the spin-boson model
- Modeling the metastable dynamics of correlated structures
- Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
- A complete quasiclassical map for the dynamics of interacting fermions
- Transport through a magnetic impurity: a slave-spin 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
- The excitation operator method in the spin dynamics of the one-dimensional XXZ model
- Efficient Pseudomode Representation and Complexity of Quantum Impurity Models
- Analytical Continuation Approaches to Electronic Transport: The Resonant Level Model
- Second-order functional renormalization group approach to quantum wires out of equilibrium
- Solving real time evolution problems by constructing excitation operators
- Transitional steady states of exchange dynamics between finite quantum systems
- Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
- Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system
- Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
- Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
- Enforcing conservation laws in nonequilibrium cluster perturbation theory
- Exact description of fermionic reservoirs via purified damped ancillary fermions
- Spin current through an ESR quantum dot: A real-time study