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We present a general and practical theoretical framework to investigate how energy is dissipated in open quantum system dynamics. This is done by quantifying the contributions of individual bath components to the overall dissipation of the…

Quantum Physics · Physics 2024-06-11 Chang Woo Kim , Ignacio Franco

The Hierarchical equations of motion (HEOM) method is an important non-perturbative technique, allowing numerically exact treatment of open quantum systems with strong coupling and non-Markovian memory. However, its encoding of bath memory…

Quantum Physics · Physics 2026-03-25 Po-Rong Lai , Jhen-Dong Lin , Yi-Te Huang , Po-Chen Kuo , Neill Lambert , Yueh-Nan Chen

Correlated driving-and-dissipation equation (CODDE) is an optimized complete second-order quantum dissipation approach, which is originally concerned with the reduced system dynamics only. However, one can actually extract the hybridized…

Chemical Physics · Physics 2022-08-11 Jie Fang , Zi-Hao Chen , Yao Wang , Rui-Xue Xu , YiJing Yan

We unite two of the most widely used approaches for strongly damped, non-Markovian open quantum dynamics, the Hierarchical Equations of Motion (HEOM) and the pseudomode method by proving two statements: First, every physical bath…

Quantum Physics · Physics 2026-04-09 Kai Müller , Walter T. Strunz

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutomu Shiokawa , Raymond Kapral

Studies of quantum thermal effects on molecular excitation dynamics have often relied on oversimplified models, such as energy eigenstates or low-dimensional potentials, which fail to capture the complexity of real chemical systems. In…

Chemical Physics · Physics 2025-12-30 Yankai Zhang , Yoshitaka Tanimura , So Hirata

Decoherence is ubiquitous in quantum physics, from the conceptual foundations to quantum information processing or quantum technologies, where it is a threat that must be countered. While decoherence has been extensively studied for simple,…

In this work, we establish formally exact stochastic equations of motion (SEOM) theory to describe the dissipative dynamics of fermionic open systems. The construction of the SEOM is based on a stochastic decoupling of the dissipative…

Statistical Mechanics · Physics 2020-06-24 Lu Han , Arif Ullah , Yun-An Yan , Xiao Zheng , YiJing Yan , Vladimir Chernyak

We rigorously investigate the quantum non-Markovian dissipative dynamics of a system coupled to a harmonic oscillator bath by deriving hierarchical Schrodinger equations of motion (HSEOM) and studying their dynamics. The HSEOM are the…

Quantum Physics · Physics 2018-07-11 Kiyoto Nakamura , Yoshitaka Tanimura

We study a system consisting of an infinite one-dimensional molecular chain and a locally coupled probe. Starting from the Hamiltonian of the chain-probe composite and the corresponding spectral densities, we evaluate the heat current…

Chemical Physics · Physics 2026-04-01 Hao-Yang Qi , Zi-Fan Zhu , Yao Wang , Rui-Xue Xu , YiJing Yan

A model of a bulk water system describing the vibrational motion of intramolecular and intermolecular modes is constructed, enabling analysis of its linear and nonlinear vibrational spectra, as well as the energy transfer processes between…

Computational Physics · Physics 2023-02-21 Hideaki Takahashi , Yoshitaka Tanimura

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 of non-Markovian noise. We rigorously investigate the…

Statistical Mechanics · Physics 2015-02-16 Yoshitaka Tanimura

The hierarchical equations of motion (HEOM), derived from the exact Feynman-Vernon path integral, is one of the most powerful numerical methods to simulate the dynamics of open quantum systems that are embedded in thermal environments.…

Quantum Physics · Physics 2025-10-07 Meng Xu , Yaming Yan , Qiang Shi , J. Ankerhold , J. T. Stockburger

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

We develop a new fermionic path-integral formalism to analyze the phase diagram of open nonequilibrium systems. The formalism is applied to analyze an ensemble of two-level atoms interacting with a single-mode optical cavity, described by…

Simulating the irreversible quantum dynamics of exciton and electron transfer problems poses a nontrivial challenge. Because the irreversibility of the system dynamics is a result of quantum thermal activation and dissipation caused by the…

Chemical Physics · Physics 2021-03-30 Seiji Ueno , Yoshitaka Tanimura

In non-perturbative non-Markovian open quantum systems, reaching either low temperatures with the hierarchical equations of motion (HEOM) or high temperatures with the Thermalized Time Evolving Density Operator with Orthogonal Polynomials…

Quantum Physics · Physics 2025-03-05 Brieuc Le Dé , Amine Jaouadi , Etienne Mangaud , Alex W. Chin , Michèle Desouter-Lecomte

The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium…

Statistical Mechanics · Physics 2026-04-22 Davide Rossini , Ettore Vicari

We study a generic open quantum system where the coupling between the system and its environment is of an energy-preserving quantum nondemolition (QND) type. We obtain the general master equation for the evolution of such a system under the…

Quantum Physics · Physics 2007-10-02 Subhashish Banerjee , R. Ghosh

A novel method is introduced in order to treat the dissipative dynamics of quantum systems interacting with a bath of classical degrees of freedom. The method is based upon an extension of the Nos\`e-Hoover chain (constant temperature)…

Quantum Physics · Physics 2009-11-13 Alessandro Sergi