Quantum Monte Carlo in the steady-state

Abstract

We present a numerically exact steady-state inchworm Monte Carlo method for nonequilibrium quantum impurity models. Rather than propagating an initial state to long times, the method is directly formulated in the steady-state. This eliminates any need to traverse the transient dynamics and grants access to a much larger range of parameter regimes at vastly reduced computational costs. We benchmark the method on equilibrium Green's functions of quantum dots in the noninteracting limit and in the unitary limit of the Kondo regime. We then consider correlated materials described with dynamical mean field theory and driven away from equilibrium by a bias voltage. We show that the response of a correlated material to a bias voltage differs qualitatively from the splitting of the Kondo resonance observed in bias-driven quantum dots.

References in corpus (81)

• Efficient simulation of one-dimensional quantum many-body systems
• Continuous-time Monte Carlo methods for quantum impurity models
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Nonequilibrium dynamical mean-field theory and its applications
• Ultrafast switching to a stable hidden topologically protected quantum state in an electronic crystal
• The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
• Observation of Mott Transition in VO_2 Based Transistors
• Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• The Low-Temperature Fate of the 0.7 Structure in a Point Contact: A Kondo-like Correlated State in an Open System
• Real-time path integral approach to nonequilibrium many-body quantum system
• Universality and Critical Behavior at the Mott transition
• Light-induced emergent phenomena in 2D materials and topological materials
• Nonequilibrium dynamical mean-field theory
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• 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
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Ultrafast energy and momentum resolved dynamics of magnetic correlations in photo-doped Mott insulator Sr${}_2$IrO${}_4$
• Cooperative photoinduced metastable phase control in strained manganite films
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• Quantum interference between charge excitation paths in a solid state Mott insulator
• Universal electric-field-driven resistive transition in narrow-gap Mott insulators
• How long does it take for the Kondo effect to develop?
• Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
• Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
• Optically induced superconductivity in striped La2-xBaxCuO4 by polarization-selective excitation in the near infrared
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Anderson impurity model at finite Coulomb interaction U: generalized Non-crossing Approximation
• Ultrafast optical nonlinearity in quasi-one-dimensional Mott-insulator $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_3$
• Transport criticality of the first-order Mott transition in a quasi-two-dimensional organic conductor, $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Cl
• Electrically-driven phase transition in magnetite nanostructures
• The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
• Nevanlinna Analytical Continuation
• Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Self-energy-functional theory
• Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
• Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver
• Probing the Kondo density of states in a three-terminal quantum ring
• Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• 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
• Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
• Universal Prony fitting decomposition for optimized hierarchical quantum master equations
• Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo
• Polaronic conductivity in the photoinduced phase of 1T-TaS2
• Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Measuring the Out-of-Equilibrium Splitting of the Kondo Resonance
• Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
• Electrical Breakdown in a V2O3 device at the Insulator to Metal Transition
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Hierarchical equations of motion for impurity solver in dynamical mean-field theory
• Dynamics of Kondo voltage splitting after a quantum quench
• Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions
• Voltage quench dynamics of a Kondo system
• Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
• Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
• Inclusion-Exclusion Principle for Many-Body Diagrammatics
• Multiconfiguration time-dependent Hartree impurity solver for nonequilibrium dynamical mean-field theory
• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• Early-stage dynamics of metallic droplets embedded in the nanotextured Mott insulating phase of V${}_2$O${}_3$
• Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
• Non-equilibrium conductance of a three-terminal quantum dot in the Kondo regime: Perturbative Renormalization Group
• Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• Pseudogap Anderson impurity model out of equilibrium: A master equation tensor network approach
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Transport Through a Correlated Interface: Auxiliary Master Equation Approach
• Dynamic Control of Nonequilibrium Metal-Insulator Transitions
• Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements
• Nonequilibrium Kondo effect by equilibrium numerical renormalization group method: The hybrid Anderson model subject to a finite spin bias

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