[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 …
Efficient propagation of the hierarchical equations of motion using the Tucker and hierarchical Tucker tensors
We develop new methods to efficiently propagate the hierarchical equations of motion
(HEOM) by using the Tucker and hierarchical Tucker (HT) tensors to represent the reduced …
(HEOM) by using the Tucker and hierarchical Tucker (HT) tensors to represent the reduced …
Efficient low-temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
The hierarchical equations of motion (HEOM) approach is an accurate method to simulate
open system quantum dynamics, which allows for systematic convergence to numerically …
open system quantum dynamics, which allows for systematic convergence to numerically …
Efficient propagation of the hierarchical equations of motion using the matrix product state method
We apply the matrix product state (MPS) method to propagate the hierarchical equations of
motion (HEOM). It is shown that the MPS approximation works well in different type of …
motion (HEOM). It is shown that the MPS approximation works well in different type of …
Statistical quasi-particle theory for open quantum systems
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 …
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
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 …
[HTML][HTML] Recent advances in fermionic hierarchical equations of motion method for strongly correlated quantum impurity systems
Investigations of strongly correlated quantum impurity systems (QIS), which exhibit
diversified novel and intriguing quantum phenomena, have become a highly concerning …
diversified novel and intriguing quantum phenomena, have become a highly concerning …
Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and …
C Schinabeck, R Härtle, M Thoss - Physical Review B, 2018 - APS
We present a hierarchical quantum master equation (HQME) approach which provides a
numerically exact description of nonequilibrium charge transport in nanosystems with …
numerically exact description of nonequilibrium charge transport in nanosystems with …
Current-induced dissociation in molecular junctions beyond the paradigm of vibrational heating: The role of antibonding electronic states
The interaction between electronic and nuclear degrees of freedom in single-molecule
junctions is an essential mechanism, which may result in the current-induced rupture of …
junctions is an essential mechanism, which may result in the current-induced rupture of …
Generalized master equation for charge transport in a molecular junction: Exact memory kernels and their high order expansion
We derive a set of generalized master equations (GMEs) to study charge transport dynamics
in molecular junctions using the Nakajima–Zwanzig–Mori projection operator approach. In …
in molecular junctions using the Nakajima–Zwanzig–Mori projection operator approach. In …