Dissipation equation of motion approach to open quantum systems

YJ Yan, J Jin, RX Xu, X Zheng - Frontiers of Physics, 2016 - Springer
This paper presents a comprehensive account of the dissipaton-equation-of-motion (DEOM)
theory for open quantum systems. This newly developed theory treats not only the quantum …

Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework

JK Sowa, JA Mol, GAD Briggs… - The Journal of chemical …, 2018 - pubs.aip.org
Charge transport through molecular junctions is often described either as a purely coherent
or a purely classical phenomenon, and described using the Landauer–Büttiker formalism or …

Statistical quasi-particle theory for open quantum systems

HD Zhang, RX Xu, X Zheng, YJ Yan - Molecular Physics, 2018 - Taylor & Francis
This paper presents a comprehensive account on the recently developed dissipaton–
equation–of–motion (DEOM) theory. This is a statistical quasi-particle theory for quantum …

Improving the efficiency of hierarchical equations of motion approach and application to coherent dynamics in Aharonov–Bohm interferometers

D Hou, S Wang, R Wang, LZ Ye, RX Xu… - The Journal of …, 2015 - pubs.aip.org
Several recent advancements for the hierarchical equations of motion (HEOM) approach are
reported. First, we propose an a priori estimate for the optimal number of basis functions for …

Electrically controllable Kondo correlation in spin-orbit-coupled quantum point contacts

LW Smith, HB Chen, CW Chang, CW Wu, ST Lo… - Physical review …, 2022 - APS
Integrating the Kondo correlation and spin-orbit interactions, each of which have individually
offered unprecedented means to manipulate electron spins, in a controllable way can open …

[HTML][HTML] Beyond Marcus theory and the Landauer–Büttiker approach in molecular junctions. II. A self-consistent Born approach

JK Sowa, N Lambert, T Seideman… - The Journal of Chemical …, 2020 - pubs.aip.org
Marcus and Landauer–Büttiker approaches to charge transport through molecular junctions
describe two contrasting mechanisms of electronic conduction. In previous work, we have …

[HTML][HTML] Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism

L Han, A Ullah, YA Yan, X Zheng, YJ Yan… - The Journal of …, 2020 - pubs.aip.org
In this work, we establish formally exact stochastic equation of motion (SEOM) theory to
describe the dissipative dynamics of fermionic open systems. The construction of the SEOM …

System–bath entanglement theorem with Gaussian environments

PL Du, Y Wang, RX Xu, HD Zhang… - The Journal of Chemical …, 2020 - pubs.aip.org
In this work, we establish a so-called “system–bath entanglement theorem,” for arbitrary
systems coupled with Gaussian environments. This theorem connects the entangled system …

Adiabatic terminator for fermionic hierarchical equations of motion

D Zhang, X Ding, HD Zhang, X Zheng… - Chinese Journal of …, 2021 - pubs.aip.org
The hierarchical equation of motion method has become one of the most popular numerical
methods for describing the dissipative dynamics of open quantum systems linearly coupled …

Memory-effect-preserving quantum master equation approach to noise spectrum of transport current

Y Xu, J Jin, S Wang, YJ Yan - Physical Review E, 2022 - APS
Within the time-nonlocal quantum master equation description, we develop an efficient
method for calculating the noise spectrum of transport current through interacting …