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Open quantum systems are a topic of intense theoretical research. The use of master equations to model a system's evolution subject to an interaction with an external environment is one of the most successful theoretical paradigms. General…

Including the effect of the molecular environment in the numerical modeling of time-resolved electronic spectroscopy remains an important challenge in computational spectroscopy. In this contribution, we present a general approach for the…

Quantum Physics · Physics 2024-12-17 Federico Gallina , Matteo Bruschi , Roberto Cacciari , Barbara Fresch

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

We present a machine learning-based approach for characterising the environment that affects the dynamics of an open quantum system. We focus on the case of an exactly solvable spin-boson model, where the system-environment interaction,…

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

Quantum Physics · Physics 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

Using a recently proposed measure for divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a driven spin-$S$ system weakly coupled to a bosonic bath. The complete tomographic knowledge about the…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Xuefen Xu , Xiaoqun Wang

We present perturbative error bounds for the non-Markovian dynamics of observables in open quantum systems interacting with Gaussian environments, governed by a general Liouville dynamics. This extends the work of [Mascherpa et al., Phys.…

Quantum Physics · Physics 2025-12-16 Zhen Huang , Yuanran Zhu , Gunhee Park , Lin Lin

We show that the effect of a Gaussian Bosonic environment linearly coupled to a quantum system can be simulated by a stochastic Lindblad master equation characterized by a set of ancillary Bosonic modes initially at zero temperature and…

Quantum Physics · Physics 2023-10-31 Si Luo , Neill Lambert , Pengfei Liang , Mauro Cirio

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

Quantum Physics · Physics 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

Quantum Physics · Physics 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

We study the asymptotic dynamics of a driven spin-boson system where the environment is formed by a broadened localized mode. Upon exploiting an exact mapping, an equivalent formulation of the problem in terms of a quantum two-state system…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. C. Goorden , M. Thorwart , M. Grifoni

We address the dynamics of a bosonic system coupled to either a bosonic or a magnetic environment, and derive a set of sufficient conditions that allow one to describe the dynamics in terms of the effective interaction with a classical…

This thesis deals with the study of dynamical properties of out-of-equilibrium quantum systems. We introduce in particular a general class of Spin-Boson models, which describe for example light-matter interaction or dissipative phenomena.…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Loïc Henriet

We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz

Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources.…

Quantum Physics · Physics 2026-01-12 Yukai Guo , Xing Gao

Employing the non-perturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with spectral density J(omega) propto omega^s. We show that,…

Statistical Mechanics · Physics 2007-06-13 Frithjof B. Anders , Ralf Bulla , Matthias Vojta

We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established…

Quantum Physics · Physics 2023-09-06 Valentin Link , Kimmo Luoma , Walter T. Strunz

We propose a method to simulate the dynamics of spin-boson models with small crystals of trapped ions where the electronic degree of freedom of one ion is used to encode the spin while the collective vibrational degrees of freedom are…