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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

Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such…

Quantum Physics · Physics 2025-02-20 Xiaohan Dan , Eitan Geva , Victor S. Batista

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

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

We introduce a numerical method to simulate nonlinear open quantum dynamics of a particle in situations where its state undergoes significant expansion in phase space while generating small quantum features at the phase-space Planck scale.…

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

We consider a rotationally invariant system-bath (RISB) model in three-dimensional space that is described by a linear-rigid rotor independently coupled to three sets of harmonic-oscillator baths as functions of the Euler angle. While this…

Statistical Mechanics · Physics 2019-07-22 Yuki Iwamoto , Yoshitaka Tanimura

We present a Wigner function-based approach for the particle density evolution in fermionic and bosonic open quantum many-body systems, including the effects of dephasing. In particular, we focus on chains of non-interacting particles…

Quantum Gases · Physics 2023-05-31 Michele Coppola , Gabriel T. Landi , Dragi Karevski

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

Dissipaton-equation-of-motion (DEOM) theory [Y. J. Yan, J. Chem. Phys. 140, 054105 (2014)] is an exact and nonperturbative many-particle method for open quantum systems. The existing dissipaton algebra treats also the dynamics of hybrid…

Chemical Physics · Physics 2020-01-24 Yao Wang , Rui-Xue Xu , YiJing Yan

Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad's theory for open quantum systems. We deduce the density…

High Energy Physics - Theory · Physics 2007-05-23 Aurelian Isar

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

The dynamics of open quantum systems is formulated in a minimally extended state space comprising the degrees of freedom of a system of interest and a finite set of non-unitary, pure-state reservoir modes. This formal structure, derived…

Quantum Physics · Physics 2023-08-01 Meng Xu , Vasilii Vadimov , Malte Krug , J. T. Stockburger , J. Ankerhold

We present a numerical scheme for simulating the 2D quantum dynamics of a two-level particle gas with internal degrees of freedom such as spin, pseudo-spin, or a two-band electronic structure. We adopt the Wigner formulation of quantum…

Mathematical Physics · Physics 2026-04-10 O. Morandi

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 obtain analytic solutions to various models of dissipation of the quantum harmonic oscillator, employing a simple method in the Wigner function Fourier transform description of the system; and study as an exemplification, the driven open…

Quantum Physics · Physics 2018-01-19 Pablo Carlos López Vázquez , Roberto Santos Silva

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

We present the Reduced Operator Approximation: a simple, physically transparent and computationally efficient method of modelling open quantum systems. It employs the Heisenberg picture of the quantum dynamics, which allows us to focus on…

Quantum Physics · Physics 2015-08-06 Agnieszka Werpachowska

We introduce a scalable variational method for simulating the dynamics of interacting open quantum bosonic systems deep in the quantum regime. The method is based on a multi-dimensional Wigner phase-space representation and employs a…

Quantum Physics · Physics 2025-07-21 Jacopo Tosca , Francesco Carnazza , Luca Giacomelli , Cristiano Ciuti

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
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