[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 …

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 …

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 …

Coherent and incoherent theories for photosynthetic energy transfer

MJ Tao, NN Zhang, PY Wen, FG Deng, Q Ai, GL Long - Science Bulletin, 2020‏ - Elsevier
There is a remarkable characteristic of photosynthesis in nature, that is, the energy transfer
efficiency is close to 100%. Recently, due to the rapid progress made in the experimental …

[HTML][HTML] Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities

Y Tanimura - The Journal of chemical physics, 2014‏ - pubs.aip.org
For a system strongly coupled to a heat bath, the quantum coherence of the system and the
heat bath plays an important role in the system dynamics. This is particularly true in the case …

Real-time evolution of Anderson impurity models via tensor network influence functionals

N Ng, G Park, AJ Millis, GKL Chan, DR Reichman - Physical Review B, 2023‏ - APS
In this work, we present and analyze two tensor network-based influence functional
approaches for simulating the real-time dynamics of quantum impurity models such as the …

[HTML][HTML] Communication: Padé spectrum decomposition of Fermi function and Bose function

J Hu, RX Xu, Y Yan - The Journal of chemical physics, 2010‏ - pubs.aip.org
Padé approximant is exploited for an efficient sum-over-poles decomposition of Fermi and
Bose functions. The resulting poles are all pure imaginary and can therefore be used to …

Padé spectrum decompositions of quantum distribution functions and optimal hierarchical equations of motion construction for quantum open systems

J Hu, M Luo, F Jiang, RX Xu, Y Yan - The Journal of chemical physics, 2011‏ - pubs.aip.org
Padé spectrum decompositions of quantum distribution functions and optimal hierarchical
equations of motion construction for quantum open systems | The Journal of Chemical Physics …

Efficient propagation of the hierarchical equations of motion using the Tucker and hierarchical Tucker tensors

Y Yan, M Xu, T Li, Q Shi - The Journal of Chemical Physics, 2021‏ - pubs.aip.org
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 …

Hierarchical Liouville-Space Approach for Accurate and Universal Characterization<? format?> of Quantum Impurity Systems

ZH Li, NH Tong, X Zheng, D Hou, JH Wei, J Hu… - Physical Review Letters, 2012‏ - APS
A hierarchical equations of motion based numerical approach is developed for accurate and
efficient evaluation of dynamical observables of strongly correlated quantum impurity …