Iterative path integral summation for nonequilibrium quantum transport

Abstract

We have developed a numerically exact approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the generating function of nonequilibrium observables of interest, e.g., the charge current or dynamical quantities of the central part. Self-energies due to the leads, being nonlocal in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects. Numerical results are extra-polated first to vanishing (Trotter) time discretization and, second, to infinite memory time...

submitted to Special issue in physica status solidi (b) Quantum transport at the molecular scale

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Cited by in corpus (20)

• Hubbard nanoclusters far from equilibrium
• 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
• Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
• Dynamics of Kondo voltage splitting after a quantum quench
• Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
• Voltage quench dynamics of a Kondo system
• Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
• Quantum heat engine operating between thermal and spin reservoirs
• Simulating Non-Markovian Quantum Dynamics on NISQ Computers Using the Hierarchical Equations of Motion
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Reconciling perturbative approaches in phonon assisted transport junctions
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves
• Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
• Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
• Interaction-induced current asymmetries in resonant transport through interacting quantum-dot spin valves revealed by iterative summation of path integrals
• Transfer-matrix summation of path integrals for transport through nanostructures
• Exact description of fermionic reservoirs via purified damped ancillary fermions