A Liouville equation for systems which exchange particles with reservoirs: Transport through a nanodevice

2004/04/29 by Igor V. Ovchinnikov, I. V. Ovchinnikov, Daniel Neuhauser · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Quantum-Dot Cellular Automata #physics.chem-ph

paper · pdf · doi:10.1063/1.1828037

8 pages, 2 figures

arxiv created 2004/04/29 · openalex publication_date 2004/12/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Transport spectroscopy in a time-modulated open quantum dot
• Completely positive maps and entropy inequalities
• Landauer formula for the current through an interacting electron region
• Spin-current generation and detection in the presence of an ac gate

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• Hierarchical quantum master equation approach to charge transport in molecular junctions with time-dependent molecule-lead coupling strengths