A Liouville equation for systems which exchange particles with reservoirs: transport through a nano-device

Abstract

A Redfield-like Liouville equation for an open system that couples to one or more leads and exchanges particles with them is derived. The equation is presented for a general case. A case study of time-dependent transport through a single quantum level for varying electrostatic and chemical potentials in the leads is presented. For the case of varying electrostatic potentials the proposed equation yields, for the model study, the results of an exact solution.

8 pages, 2 figures

References in corpus (10)

• Electron transmission through molecules and molecular interfaces
• Thermal conductance through molecular wires
• Time-Dependent Transport through a Mesoscopic Structure
• Charging Effects in Ultrasmall Quantum Dots in the Presence of Time-Varying Fields
• Molecular Wires Acting as Coherent Quantum Ratchets
• Spin Current Generation and Detection in the Presence of AC Gate
• Coherent quantum transport in narrow constrictions in the presence of a finite-range longitudinally polarized time-dependent field
• Nonadiabatic quantum pumping in mesoscopic nanostructures
• Transport spectroscopy in a time-modulated open quantum dot
• Coherent quantum transport in the presence of a finite-range transversely polarized time-dependent field

Cited by in corpus (14)

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• Transport and optical response of molecular junctions driven by surface plasmon-polaritons
• Molecular Dynamics in a Grand Ensemble: Bergmann-Lebowitz model and Adaptive Resolution Simulation
• Bias-Controlled Selective Excitation of Vibrational Modes in Molecular Junctions: A Route Towards Mode-Selective Chemistry
• Switching the current through molecular wires
• The Driven Liouville von Neumann Equation in Lindblad Form
• Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
• Transient Dynamics in Molecular Junctions: Coherent Bichromophoric Molecular Electron Pumps
• Simulation of many-electron systems that exchange matter with the environment
• Hierarchical quantum master equation approach to charge transport in molecular junctions with time-dependent molecule-lead coupling strengths
• Coherent manipulation of charge qubits in double quantum dots