[HTML][HTML] Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM)

Y Tanimura - The Journal of chemical physics, 2020 - pubs.aip.org
An open quantum system refers to a system that is further coupled to a bath system
consisting of surrounding radiation fields, atoms, molecules, or proteins. The bath system is …

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 …

Coherent and incoherent theories for photosynthetic energy transfer

MJ Tao, NN Zhang, PY Wen, FG Deng, Q Ai, GL Long - Science Bulletin, 2020 - Elsevier
There is a remarkable characteristic of photosynthesis in nature, that is, the energy transfer
efficiency is close to 100%. Recently, due to the rapid progress made in the experimental …

Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems

C Schinabeck, A Erpenbeck, R Härtle, M Thoss - Physical Review B, 2016 - APS
Within the hierarchical quantum master equation (HQME) framework, an approach is
presented, which allows a numerically exact description of nonequilibrium charge transport …

Optical line shapes of molecular aggregates: Hierarchical equations of motion method

L Chen, R Zheng, Q Shi, YJ Yan - The Journal of chemical physics, 2009 - pubs.aip.org
The absorption line shapes of model molecular aggregates are investigated using the
recently developed Liouville space hierarchical equations of motion HEOM method. The …

Numerical approach to time-dependent quantum transport and dynamical Kondo transition

X Zheng, J Jin, S Welack, M Luo, YJ Yan - The Journal of chemical …, 2009 - pubs.aip.org
An accurate and efficient numerical approach is developed for the transient electronic
dynamics of open quantum systems at low temperatures. The calculations are based on a …

Time-dependent density functional theory for quantum transport

X Zheng, GH Chen, Y Mo, SK Koo, H Tian… - The Journal of …, 2010 - pubs.aip.org
Based on our earlier works [X. Zheng et al, Phys. Rev. B 75, 195127 (2007); JS Jin et al, J.
Chem. Phys. 128, 234703 (2008)], we propose a rigorous and numerically convenient …

Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and …

C Schinabeck, R Härtle, M Thoss - Physical Review B, 2018 - APS
We present a hierarchical quantum master equation (HQME) approach which provides a
numerically exact description of nonequilibrium charge transport in nanosystems with …

Kondo memory in driven strongly correlated quantum dots

X Zheng, YJ Yan, M Di Ventra - Physical Review Letters, 2013 - APS
We investigate the real-time current response of strongly correlated quantum dot systems
under sinusoidal driving voltages. By means of an accurate hierarchical equations of motion …

Nonadiabatic vibronic effects in single-molecule junctions: A theoretical study using the hierarchical equations of motion approach

C Kaspar, A Erpenbeck, J Bätge, C Schinabeck… - Physical Review B, 2022 - APS
The interaction between electronic and vibrational degrees of freedom is an important
mechanism in nonequilibrium charge transport through molecular nanojunctions. While …