Nonequilibrium transport in quantum impurity models: Exact path integral simulations

Abstract

We simulate the nonequilibrium dynamics of two generic many-body quantum impurity models by employing the recently developed iterative influence-functional path integral method [Phys. Rev. B {\bf 82}, 205323 (2010)]. This general approach is presented here in the context of quantum transport in molecular electronic junctions. Models of particular interest include the single impurity Anderson model and the related spinless two-state Anderson dot. In both cases we study the time evolution of the dot occupation and the current characteristics at finite temperature. A comparison to mean-field results is presented, when applicable.

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Cited by in corpus (22)

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• Path-integral simulations with fermionic and bosonic reservoirs: Transport and dissipation in molecular electronic junctions
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• Green's function methods for single molecule junctions
• Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
• Vibrationally Induced Decoherence in Single-Molecule Junctions
• Dynamics of coherences in the interacting double-dot Aharonov-Bohm interferometer: Exact numerical simulations
• Qubit-mediated energy transfer between thermal reservoirs: beyond Markovian Master equation
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Finite coupling effects in double quantum dots near equilibrium
• How long does it take to form the Andreev quasiparticles ?
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Heat Current in Non-Markovian Open Systems
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Towards equilibration and thermalization between finite quantum systems: The role of dephasing effects and inelastic interactions
• Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
• Landau-Zener transitions in a fermionic dissipative environment
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• The Anderson impurity model out of equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation
• Dissipative features of the driven spin-fermion system
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature