HEOM‐QUICK: a program for accurate, efficient, and universal characterization of strongly correlated quantum impurity systems

LZ Ye, X Wang, D Hou, RX Xu… - Wiley Interdisciplinary …, 2016‏ - Wiley Online Library
Accurate characterization of correlated electronic states, as well as their evolution under
external fields or in dissipative environment, is essentially important for understanding the …

Dissipation equation of motion approach to open quantum systems

YJ Yan, J **, 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 …

Perspective: Theory of quantum transport in molecular junctions

M Thoss, F Evers - The Journal of chemical physics, 2018‏ - pubs.aip.org
Molecular junctions, where single molecules are bound to metal or semiconductor
electrodes, represent a unique architecture to investigate molecules in a distinct …

Taming the dynamical sign problem in real-time evolution of quantum many-body problems

G Cohen, E Gull, DR Reichman, AJ Millis - Physical review letters, 2015‏ - APS
Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that
makes simulating real-time dynamics for long times exponentially hard. We propose a new …

Toward quantum simulation of non-Markovian open quantum dynamics: A universal and compact theory

X Li, SX Lyu, Y Wang, RX Xu, X Zheng, YJ Yan - Physical Review A, 2024‏ - APS
Non-Markovianity, the intricate dependence of an open quantum system on its temporal
evolution history, holds tremendous implications across various scientific disciplines …

Theory of open quantum systems with bath of electrons and phonons and spins: Many-dissipaton density matrixes approach

YJ Yan - The Journal of chemical physics, 2014‏ - pubs.aip.org
This work establishes a strongly correlated system-and-bath dynamics theory, the many-
dissipaton density operators formalism. It puts forward a quasi-particle picture for …

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 …

Time-linear quantum transport simulations with correlated nonequilibrium green's functions

R Tuovinen, Y Pavlyukh, E Perfetto, G Stefanucci - Physical Review Letters, 2023‏ - APS
We present a time-linear scaling method to simulate open and correlated quantum systems
out of equilibrium. The method inherits from many-body perturbation theory the possibility to …

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 …