[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 …
consisting of surrounding radiation fields, atoms, molecules, or proteins. The bath system is …
HEOM‐QUICK2: A general‐purpose simulator for fermionic many‐body open quantum systems—An update
Many‐body open quantum systems (OQSs) have a profound impact on various
subdisciplines of physics, chemistry, and biology. Thus, the development of a computer …
subdisciplines of physics, chemistry, and biology. Thus, the development of a computer …
Resonance theory and quantum dynamics simulations of vibrational polariton chemistry
We present numerically exact quantum dynamics simulations using the hierarchical
equation of motion approach to investigate the resonance enhancement of chemical …
equation of motion approach to investigate the resonance enhancement of chemical …
A new method to improve the numerical stability of the hierarchical equations of motion for discrete harmonic oscillator modes
The hierarchical equations of motion (HEOMs) have developed into an important tool in
simulating quantum dynamics in condensed phases. Yet, it has recently been found that the …
simulating quantum dynamics in condensed phases. Yet, it has recently been found that the …
Highly efficient and accurate sum-over-poles expansion of Fermi and Bose functions at near zero temperatures: Fano spectrum decomposition scheme
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 …
sum-over-poles expansion of Fermi and Bose functions at cryogenic temperatures. The new …
A new perspective for nonadiabatic dynamics with phase space mapping models
Based on the recently developed unified theoretical framework [J. Liu, J. Chem. Phys. 145
(20), 204105 (2016)], we propose a new perspective for studying nonadiabatic dynamics …
(20), 204105 (2016)], we propose a new perspective for studying nonadiabatic dynamics …
Negative zero-point-energy parameter in the Meyer–Miller mapping model for nonadiabatic dynamics
The celebrated Meyer–Miller mapping model has been a useful approach for generating
practical trajectory-based nonadiabatic dynamics methods. It is generally assumed that the …
practical trajectory-based nonadiabatic dynamics methods. It is generally assumed that the …
About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach
M Xu, J Ankerhold - The European Physical Journal Special Topics, 2023 - Springer
The hierarchical equations of motion (HEOM) provide a numerically exact approach for
simulating the dynamics of open quantum systems coupled to a harmonic bath. However, its …
simulating the dynamics of open quantum systems coupled to a harmonic bath. However, its …
Exact dynamics of the spin-boson model at the Toulouse limit
Starting from the stochastic Liouville equation, we obtain an integral functional equation for
describing the finite-temperature dynamics of the asymmetric spin-boson model. Like the …
describing the finite-temperature dynamics of the asymmetric spin-boson model. Like the …
Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments
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 …
methods for the studies of the open quantum system. However, its applicability to systems at …