Equation-of-Motion Methods for the Calculation of Femtosecond Time-Resolved 4-Wave-Mixing and N-Wave-Mixing Signals

MF Gelin, L Chen, W Domcke - Chemical Reviews, 2022‏ - ACS Publications
Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of
photophysical and photochemical processes. Since most systems of chemical interest are …

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 …

Highly efficient and accurate sum-over-poles expansion of Fermi and Bose functions at near zero temperatures: Fano spectrum decomposition scheme

L Cui, HD Zhang, X Zheng, RX Xu… - The Journal of chemical …, 2019‏ - pubs.aip.org
The Fano spectrum decomposition (FSD) scheme is proposed as an efficient and accurate
sum-over-poles expansion of Fermi and Bose functions at cryogenic temperatures. The new …

Equilibrium and transient thermodynamics: A unified dissipaton-space approach

H Gong, Y Wang, HD Zhang, Q Qiao, RX Xu… - The Journal of …, 2020‏ - pubs.aip.org
This work presents a unified dissipaton-equation-of-motion (DEOM) theory and its
evaluations on the Helmholtz free energy change due to the isotherm mixing of two isolated …

Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments

HD Zhang, L Cui, H Gong, RX Xu, X Zheng… - The Journal of chemical …, 2020‏ - pubs.aip.org
The hierarchical equations of motion (HEOM) method has become one of the most popular
methods for the studies of the open quantum system. However, its applicability to systems at …

Theories of quantum dissipation and nonlinear coupling bath descriptors

RX Xu, Y Liu, HD Zhang, YJ Yan - The Journal of Chemical Physics, 2018‏ - pubs.aip.org
The quest of an exact and nonperturbative treatment of quantum dissipation in nonlinear
coupling environments remains in general an intractable task. In this work, we address the …

Low-frequency logarithmic discretization of the reservoir spectrum for improving the efficiency of hierarchical equations of motion approach

LZ Ye, HD Zhang, Y Wang, X Zheng… - The Journal of Chemical …, 2017‏ - pubs.aip.org
An efficient low-frequency logarithmic discretization (LFLD) scheme for the decomposition of
fermionic reservoir spectrum is proposed for the investigation of quantum impurity systems …

[HTML][HTML] Recent advances in fermionic hierarchical equations of motion method for strongly correlated quantum impurity systems

J Cao, L Ye, R Xu, X Zheng, Y Yan - JUSTC, 2023‏ - justc.ustc.edu.cn
Investigations of strongly correlated quantum impurity systems (QIS), which exhibit
diversified novel and intriguing quantum phenomena, have become a highly concerning …

Open quantum systems with nonlinear environmental backactions: Extended dissipaton theory vs core-system hierarchy construction

ZH Chen, Y Wang, RX Xu, YJ Yan - The Journal of Chemical Physics, 2023‏ - pubs.aip.org
In this paper, we present a comprehensive account of quantum dissipation theories with the
quadratic environment couplings. The theoretical development includes the Brownian …

Fokker-Planck equation of the reduced Wigner function associated to an Ohmic quantum Langevin dynamics

PJ Colmenares - Physical Review E, 2018‏ - APS
This article has to do with the derivation and solution of the Fokker-Planck equation
associated to the momentum-integrated Wigner function of a particle subjected to a …