ArticleThe Journal of chemical physics2017
Communication: Master equations for electron transport: The limits of the Markovian limit.
Article in The Journal of chemical physics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Spin Dynamics in Open Quantum Systems: A DLvN-TDDFT Approach.Journal of chemical theory and computation · 2026Article
- Quantum Statistical Mechanics of Electronically Open Molecules: Reduced Density Operators.Journal of chemical theory and computation · 2025Article
- Electron Dynamics in Open Quantum Systems: The Driven Liouville-von Neumann Methodology within Time-Dependent Density Functional Theory.Journal of chemical theory and computation · 2023Article
- Currents in a Quantum Nanoring Controlled by Non-Classical Electromagnetic Field.Entropy (Basel, Switzerland) · 2021Article
- Matrix Product State Simulations of Non-Equilibrium Steady States and Transient Heat Flows in the Two-Bath Spin-Boson Model at Finite Temperatures.Entropy (Basel, Switzerland) · 2021Article
- Analytic expressions for the steady-state current with finite extended reservoirs.The Journal of chemical physics · 2020Article
- Breaking the Entanglement Barrier: Tensor Network Simulation of Quantum Transport.Physical review letters · 2020Article
- Open System Tensor Networks and Kramers' Crossover for Quantum Transport.Physical review. A · 2020Article
- Generalized Master Equation Approach to Time-Dependent Many-Body Transport.Entropy (Basel, Switzerland) · 2019Article
- Communication: Gibbs phenomenon and the emergence of the steady-state in quantum transport.The Journal of chemical physics · 2018Article
- Topological quantization of energy transport in micro- and nano-mechanical lattices.Physical review. B · 2018Article
- Communication: Relaxation-limited electronic currents in extended reservoir simulations.The Journal of chemical physics · 2017Article
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Authors and funding
3 authors.
Funding
Abstract
Master equations are increasingly popular for the simulation of time-dependent electronic transport in nanoscale devices. Several recent Markovian approaches use "extended reservoirs"-explicit degrees of freedom associated with the electrodes-distinguishing them from many previous classes of master equations. Starting from a Lindblad equation, we develop a common foundation for these approaches. Due to the incorporation of explicit electrode states, these methods do not require a large bias or even "true Markovianity" of the reservoirs. Nonetheless, their predictions are only physically relevant when the Markovian relaxation is weaker than the thermal broadening and when the extended reservoirs are "sufficiently large," in a sense that we quantify. These considerations hold despite complete positivity and respect for Pauli exclusion at any relaxation strength.
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