From a quantum-electrodynamical light–matter description to novel spectroscopies

M Ruggenthaler, N Tancogne-Dejean, J Flick… - Nature Reviews …, 2018 - nature.com
Insights from spectroscopic experiments led to the development of quantum mechanics as
the common theoretical framework for describing the physical and chemical properties of …

Time‐dependent density matrix renormalization group method for quantum dynamics in complex systems

J Ren, W Li, T Jiang, Y Wang… - Wiley Interdisciplinary …, 2022 - Wiley Online Library
The simulations of spectroscopy and quantum dynamics are of vital importance to the
understanding of the electronic processes in complex systems, including the …

[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 …

[HTML][HTML] Universal time-domain Prony fitting decomposition for optimized hierarchical quantum master equations

ZH Chen, Y Wang, X Zheng, RX Xu… - The Journal of Chemical …, 2022 - pubs.aip.org
In this Communication, we propose the time-domain Prony fitting decomposition (t-PFD) as
an accurate and efficient exponential series method, applicable to arbitrary bath correlation …

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 …

Efficient low-temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model

X Dan, M Xu, JT Stockburger, J Ankerhold, Q Shi - Physical Review B, 2023 - APS
The hierarchical equations of motion (HEOM) approach is an accurate method to simulate
open system quantum dynamics, which allows for systematic convergence to numerically …

Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space

Y Ke, R Borrelli, M Thoss - The Journal of Chemical Physics, 2022 - pubs.aip.org
We extend the twin-space formulation of the hierarchical equations of motion approach in
combination with the matrix product state representation [R. Borrelli, J. Chem. Phys. 150 …

[HTML][HTML] A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations

CY Hsieh, J Cao - The Journal of Chemical Physics, 2018 - pubs.aip.org
We extend a standard stochastic theory to study open quantum systems coupled to a
generic quantum environment. We exemplify the general framework by studying a two-level …

[HTML][HTML] Green's function methods for single molecule junctions

G Cohen, M Galperin - The Journal of chemical physics, 2020 - pubs.aip.org
We present a brief pedagogical review of theoretical Green's function methods applicable to
open quantum systems out of equilibrium, in general, and single molecule junctions, in …

[HTML][HTML] Quantum mechanics of open systems: Dissipaton theories

Y Wang, YJ Yan - The Journal of Chemical Physics, 2022 - pubs.aip.org
This Perspective presents a comprehensive account of the dissipaton theories developed in
our group since 2014, including the physical picture of dissipatons and the phase–space …