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This work presents a unified dissipaton-equation-of-motion (DEOM) theory and its evaluations on the Helmholtz free energy change due to the isotherm mixing of two isolated subsystems. One is a local impurity and another is a nonlocal…

Statistical Mechanics · Physics 2021-11-19 Hong Gong , Yao Wang , Hou-Dao Zhang , Qin Qiao , Rui-Xue Xu , Xiao Zheng , YiJing Yan

In this work we construct a novel dissipaton-equation-of-motion (DEOM) theory in quadratic bath coupling environment, based an extended algebraic statistical quasi-particle approach. To validate the new ingredient of the underlying…

Chemical Physics · Physics 2017-10-11 Rui-Xue Xu , Yang Liu , Hou-Dao Zhang , YiJing Yan

This Perspective presents a comprehensive account of the dissipaton theories developed in our group since 2014, including the physical picture of dissipatons and the phase-space dissipaton algebra. The dissipaton-equation-of-motion-space…

Quantum Physics · Physics 2022-11-17 Yao Wang , YiJing Yan

We present the quantum dynamics of a spin coupling to a bath of independent spins via the dissipaton equation of motion (DEOM) approach. The bath, characterized by a continuous spectral density function, is composed of spins that are…

Quantum Physics · Physics 2023-02-02 Wenxiang Ying , Yu Su , Zi-Hao Chen , Yao Wang , Pengfei Huo

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 typically modeled by an infinite number of harmonic…

Chemical Physics · Physics 2020-07-10 Yoshitaka Tanimura

Time- and frequency resolved optical signals provide insights into the properties of light harvesting molecular complexes, including excitation energies, dipole strengths and orientations, as well as in the exciton energy flow through the…

Chemical Physics · Physics 2018-06-15 Tobias Kramer , Matthias Noack , Alexander Reinefeld , Mirta Rodriguez , Yaroslav Zelinskyy

In this paper, we present a comprehensive account of quantum dissipation theories with the quadratic environment couplings. The theoretical development includes the Brownian solvation mode embedded hierarchical quantum master equations, a…

Quantum Physics · Physics 2023-02-07 Zi-Hao Chen , Yao Wang , Rui-Xue Xu , YiJing Yan

Over the last two decades, the hierarchical equations of motion (HEOM) of Tanimura and Kubo have become the equation of motion-based tool for numerically exact calculations of system-bath problems. The HEOM is today generalized to many…

Quantum Physics · Physics 2023-05-15 Robert Fuchs , Marten Richter

Accurate and efficient simulation on quantum dissipation with nonlinear environment couplings remains nowadays a challenging task. In this work, we propose to incorporate the stochastic fields, which resolve just the nonlinear environment…

Quantum Physics · Physics 2021-11-19 Zi-Hao Chen , Yao Wang , Rui-Xue Xu , YiJing Yan

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

The hierarchical equations of motion (HEOM) for a generalized quantum dissipative system is rigorously constructed in the frameworks of two different stochastic dynamical descriptions, i.e., the non-Markovian quantum state diffusion…

Quantum Physics · Physics 2018-07-18 Wei Wu

A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly…

Strongly Correlated Electrons · Physics 2014-08-04 Dong Hou , Rulin Wang , Xiao Zheng , NingHua Tong , JianHua Wei , YiJing Yan

We investigate the quantum dynamics of Coulomb potential systems in thermal baths. We study these systems within the framework of open quantum dynamics theory, focusing on preserving the rotational symmetry of the entire system, including…

Quantum Physics · Physics 2026-03-18 Yankai Zhang , Yoshitaka Tanimura

Discretizing a distribution function in a phase space for an efficient quantum dynamics simulation is a non-trivial challenge, in particular for a case that a system is further coupled to environmental degrees of freedom. Such open quantum…

Computational Physics · Physics 2021-12-14 Yuki Iwamoto , Yoshitaka Tanimura

The hierarchical equations of motion (HEOM) theory is one of the standard methods to rigorously describe open quantum dynamics coupled to harmonic environments. Such a model is used to capture non-Markovian and non-perturbative effects of…

Chemical Physics · Physics 2020-06-02 Tatsushi Ikeda , Gregory D. Scholes

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

The time evolution in open quantum systems, such as a molecular aggregate in contact with a thermal bath, still poses a complex and challenging problem. The influence of the thermal noise can be treated using a plethora of schemes, several…

Chemical Physics · Physics 2019-07-24 Hasan Rahman , Ulrich Kleinekathoefer

The dynamics of the electrons for a molecule in solution is coupled to the dynamics of its polarizable environment, i.e., the solvent. To theoretically investigate such electronic dynamics, we have recently developed equations of motion…

Chemical Physics · Physics 2017-02-16 Silvio Pipolo , Stefano Corni , Roberto Cammi

The theory of hierarchical equations of motion (HEOM) is one of the standard methods to give exact evaluations of the dynamics as coupled to harmonic oscillator environments. However, the theory is numerically demanding due to its…

Chemical Physics · Physics 2022-05-31 Tatsushi Ikeda , Akira Nakayama

The hierarchical equations of motion technique has found widespread success as a tool to generate the numerically exact dynamics of non-Markovian open quantum systems. However, its application to low temperature environments remains a…

Chemical Physics · Physics 2013-10-15 Jeremy M. Moix , Jianshu Cao
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