Kinetic Schemes in Open Interacting Systems

Abstract

We discuss utilization of kinetic schemes for description of open interacting systems, focusing on vibrational energy relaxation for an oscillator coupled to a nonequilibirum electronic bath. Standard kinetic equations with constant rate coefficients are obtained under the assumption of timescale separation between system and bath, with the bath dynamics much faster than that of the system of interest. This assumption may break down in certain limits and we show that ignoring this may lead to qualitatively wrong predictions. Connection with more general, nonequilibrium Green's function (NEGF) analysis, is demonstrated. Our considerations are illustrated within generic molecular junction models with electron-vibration coupling.

22 pages, 4 figures

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• Green's function methods for single molecule junctions
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• Optical properties of periodically-driven open nonequilibrium quantum systems
• Electronic friction in interacting systems
• Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
• Flux-conserving diagrammatic formulation of optical spectroscopy of open quantum systems
• Non-thermal vibrations in biased molecular junctions
• Emergence of negative viscosities and colored noise under current-driven Ehrenfest molecular dynamics
• Electron Transfer Methods in Open Systems
• Nonequilibrium reservoir engineering of a biased coherent conductor for hybrid energy transport in nanojunctions