[HTML][HTML] Extended hierarchy equation of motion for the spin-boson model
An extended hierarchy equation of motion (HEOM) is proposed and applied to study the
dynamics of the spin-boson model. In this approach, a complete set of orthonormal functions …
dynamics of the spin-boson model. In this approach, a complete set of orthonormal functions …
Spin-selective electron transfer reactions of radical pairs: Beyond the Haberkorn master equation
Radical pair recombination reactions are normally described using a quantum mechanical
master equation for the electronic and nuclear spin density operator. The electron spin state …
master equation for the electronic and nuclear spin density operator. The electron spin state …
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 …
Predicting rate kernels via dynamic mode decomposition
Simulating dynamics of open quantum systems is sometimes a significant challenge, despite
the availability of various exact or approximate methods. Particularly when dealing with …
the availability of various exact or approximate methods. Particularly when dealing with …
[HTML][HTML] Analytical derivation of equilibrium state for open quantum system
A Gelzinis, L Valkunas - The Journal of Chemical Physics, 2020 - pubs.aip.org
Calculation of the equilibrium state of an open quantum system interacting with a bath
remains a challenge to this day, mostly due to a huge number of bath degrees of freedom …
remains a challenge to this day, mostly due to a huge number of bath degrees of freedom …
Fast calculation and analysis of the equivalent impedance of a wireless power transfer system using an array of magnetically coupled resonators
In this paper the equivalent impedance of resonator arrays for wireless power transfer
systems is obtained in closed-form from a continued fraction expression. Using the theory of …
systems is obtained in closed-form from a continued fraction expression. Using the theory of …
Electron transfer under the Floquet modulation in donor–bridge–acceptor systems
Electron transfer (ET) processes are of broad interest in modern chemistry. With the
advancements of experimental techniques, one may modulate the ET via such events as …
advancements of experimental techniques, one may modulate the ET via such events as …
Convergence of high order memory kernels in the Nakajima-Zwanzig generalized master equation and rate constants: Case study of the spin-boson model
The Nakajima-Zwanzig generalized master equation provides a formally exact framework to
simulate quantum dynamics in condensed phases. Yet, the exact memory kernel is hard to …
simulate quantum dynamics in condensed phases. Yet, the exact memory kernel is hard to …
Convergence of high order perturbative expansions in open system quantum dynamics
We propose a new method to directly calculate high order perturbative expansion terms in
open system quantum dynamics. They are first written explicitly in path integral expressions …
open system quantum dynamics. They are first written explicitly in path integral expressions …
[HTML][HTML] Condensed phase electron transfer beyond the Condon approximation
Condensed phase electron transfer problems are often simplified by making the Condon
approximation: the approximation that the coupling connecting two charge-transfer diabatic …
approximation: the approximation that the coupling connecting two charge-transfer diabatic …