Quantum Transport from the Perspective of Quantum Open Systems

Abstract

By viewing the non-equilibrium transport setup as a quantum open system, we propose a reduced-density-matrix based quantum transport formalism. At the level of self-consistent Born approximation, it can precisely account for the correlation between tunneling and the system internal many-body interaction, leading to certain novel behavior such as the non-equilibrium Kondo effect. It also opens a new way to construct time-dependent density functional theory for transport through large-scale complex systems.

arXiv comment4 pages, 2 figures; the TDDFT scheme is explained in more detail in this new version

References in corpus (7)

• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Microscopic derivation of rate equations for quantum transport
• Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
• Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
• Quantum master equation approach to quantum transport through mesoscopic systems
• Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
• Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited

Cited by in corpus (21)

• Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
• Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
• Time-dependent density-functional theory for open systems
• Time-dependent density functional theory for quantum transport
• Kondo memory in driven strongly-correlated quantum dots
• Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage
• A self-consistent quantum master equation approach to molecular transport
• Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach
• Full counting statistics of transport through two-channel Coulomb blockade systems
• Interference effects in the counting statistics of electron transfers through a double quantum dot
• Quantum master equation scheme of time-dependent density functional theory to time-dependent transport in nano-electronic devices
• Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. I. Formalism
• Time-dependent density-functional theory for real-time electronic dynamics on material surfaces
• Beyond Marcus theory and the Landauer-Buttiker approach in molecular junctions. II. A self-consistent Born approach
• Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. II. Numerical Implementation
• Quantum master equations for a system interacting with quantum gas in the low density limit and for the semiclassical collision model
• Self-consistent electron counting statistics
• Spin-dependent current noises in transport through coupled quantum dots
• Machine learning meets $\mathfrak{su}(n)$ Lie algebra: Enhancing quantum dynamics learning with exact trace conservation
• Toward Quantum-Aware Machine Learning: Improved Prediction of Quantum Dissipative Dynamics via Complex Valued Neural Networks
• Self-consistent approach to the dynamics of excitation energy transfer in multichromophoric systems