Dynamics of non-Markovian open quantum systems

I De Vega, D Alonso - Reviews of Modern Physics, 2017 - APS
Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

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 …

[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 …

Stochastic Liouville, Langevin, Fokker–Planck, and master equation approaches to quantum dissipative systems

Y Tanimura - Journal of the Physical Society of Japan, 2006 - journals.jps.jp
Half century has past since the pioneering works of Anderson and Kubo on the stochastic
theory of spectral line shape were published in J. Phys. Soc. Jpn. 9 (1954) 316 and 935 …

Quantum dynamics of system strongly coupled to low-temperature colored noise bath: Reduced hierarchy equations approach

A Ishizaki, Y Tanimura - Journal of the Physical Society of Japan, 2005 - journals.jps.jp
Reduced equations of motion for a two-level system strongly coupled to a harmonic
oscillators bath are constructed by extending the hierarchy of equations introduced by …

Theory of ultrafast nonadiabatic excited-state processes and their spectroscopic detection in real time

W Domcke, G Stock - Advances in Chemical Physics, 1997 - books.google.com
1. General Aspects 2. Normal-Mode Taylor Expansion 3. A Model of Nonadiabatic
Photoisomerization III. Time-Dependent Methodology A. Representation of the State Vector …

Multilayer multiconfiguration time-dependent Hartree theory

H Wang - The Journal of Physical Chemistry A, 2015 - ACS Publications
Multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) theory is a rigorous and
powerful method to simulate quantum dynamics in complex many-body systems. This …

[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 …

Self-consistent hybrid approach for complex systems: Application to the spin-boson model with Debye spectral density

M Thoss, H Wang, WH Miller - The Journal of Chemical Physics, 2001 - pubs.aip.org
The self-consistent hybrid approach [H. Wang, M. Thoss, and WH Miller, J. Chem. Phys. 115,
2979 (2001), preceding paper] is applied to the spin-boson problem with Debye spectral …

Exact -Number Representation of Non-Markovian Quantum Dissipation

JT Stockburger, H Grabert - Physical review letters, 2002 - APS
The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact
representation in terms of a stochastic Schrödinger equation. All memory effects of the …