[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‐QUICK: a program for accurate, efficient, and universal characterization of strongly correlated quantum impurity systems
Accurate characterization of correlated electronic states, as well as their evolution under
external fields or in dissipative environment, is essentially important for understanding the …
external fields or in dissipative environment, is essentially important for understanding the …
Dissipation equation of motion approach to open quantum systems
This paper presents a comprehensive account of the dissipaton-equation-of-motion (DEOM)
theory for open quantum systems. This newly developed theory treats not only the quantum …
theory for open quantum systems. This newly developed theory treats not only the quantum …
General non-Markovian dynamics of open quantum systems
We present a general theory of non-Markovian dynamics for open systems of noninteracting
fermions (bosons) linearly coupled to thermal environments of noninteracting fermions …
fermions (bosons) linearly coupled to thermal environments of noninteracting fermions …
Introduction to quantum thermodynamics: History and prospects
Quantum Thermodynamics is a continuous dialogue between two independent theories:
Thermodynamics and Quantum Mechanics. Whenever the two theories have addressed the …
Thermodynamics and Quantum Mechanics. Whenever the two theories have addressed the …
Taming the dynamical sign problem in real-time evolution of quantum many-body problems
Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that
makes simulating real-time dynamics for long times exponentially hard. We propose a new …
makes simulating real-time dynamics for long times exponentially hard. We propose a new …
Efficient method for quantum impurity problems out of equilibrium
We introduce an efficient method to simulate the dynamics of an interacting quantum
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …
[HTML][HTML] Universal time-domain Prony fitting decomposition for optimized hierarchical quantum master equations
In this Communication, we propose the time-domain Prony fitting decomposition (t-PFD) as
an accurate and efficient exponential series method, applicable to arbitrary bath correlation …
an accurate and efficient exponential series method, applicable to arbitrary bath correlation …
Efficient hierarchical Liouville space propagator to quantum dissipative dynamics
We propose an efficient method to propagate the hierarchical quantum master equations
based on a reformulation of the original formalism and the incorporation of a filtering …
based on a reformulation of the original formalism and the incorporation of a filtering …
[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 …
heat bath plays an important role in the system dynamics. This is particularly true in the case …