Real-time path integral approach to nonequilibrium many-body quantum system
arXiv:0707.0956 · doi:10.1103/PhysRevLett.100.176403
Abstract
A real-time path integral Monte Carlo approach is developed to study the dynamics in a many-body quantum system until reaching a nonequilibrium stationary state. The approach is based on augmenting an exact reduced equation for the evolution of the system in the interaction picture which is amenable to an efficient path integral (worldline) Monte Carlo approach. Results obtained for a model of inelastic tunneling spectroscopy reveal the applicability of the approach to a wide range of physically important regimes, including high (classical) and low (quantum) temperatures, and weak (perturbative) and strong electron-phonon couplings.
5 pages, 2 figures
References in corpus (19)
- Kondo Physics in a Single Electron Transistor
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- A Tunable Kondo Effect in Quantum Dots
- Luttinger Liquid Behavior in Carbon Nanotubes
- A continuous-time solver for quantum impurity models
- Molecular Transport Junctions: Vibrational Effects
- The Statistical Theory of Quantum Dots
- Phonon effects in molecular transistors: Quantum and classical treatment
- Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
- Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
- Inelastic electron tunneling spectroscopy in molecular junctions: Peaks and dips
- Resonant inelastic tunneling in molecular junctions
- Efficient DMFT-simulation of the Holstein-Hubbard Model
- Tunneling broadening of vibrational sidebands in molecular transistors
- Exact Quantum Monte Carlo Process for the Statistics of Discrete Systems
- Path-integral Monte Carlo Simulations without the Sign Problem: Multilevel Blocking Approach for Effective Actions
- An Exactly Solvable Kondo Problem for Interacting One-Dimensional Fermions
- Path-integral Monte-Carlo simulations for electronic dynamics on molecular chains: I. Sequential hopping and super exchange
- Inelastic effects in Aharonov-Bohm molecular interferometer
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- Continuous-time Monte Carlo methods for quantum impurity models
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- Taming the dynamical sign problem in real-time evolution of quantum many-body problems
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
- Memory Effects In Nonequilibrium Quantum Impurity Models
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- Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
- Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
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- Transient dynamics of the Anderson impurity model out of equilibrium
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- Multiple steady-states in nonequilibrium quantum systems with electron-phonon interactions
- A nonequilibrium theory for transient transport dynamics in nanostructures via the Feynman-Vernon influence functional approach
- Nonequilibrium quantum systems with electron-phonon interactions: Transient dynamics and approach to steady state
- Electronic Density Response of Warm Dense Matter
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- Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
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- Vibrational Instabilities in Resonant Electron Transport through Single-Molecule Junctions
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- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
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- Bias-Controlled Selective Excitation of Vibrational Modes in Molecular Junctions: A Route Towards Mode-Selective Chemistry
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- : Implementation of the Stochastic Optimization Method for Analytic Continuation
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