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We derive the exact out-of-equilibrium Wigner function of a bosonic mode linearly coupled to a bosonic bath of arbitrary spectral density. Our solution does not rely on any master equation approach and it therefore also correctly describes…

Quantum Physics · Physics 2014-01-13 A. Rancon , J. Bonart

Control of the dynamics of an open quantum system is crucial in quantum information processing. Basically there are two ways: one is the control on the system and the other is tuning the bath parameters. In this paper, we use the latter to…

Quantum Physics · Physics 2023-10-16 Arapat Ablimit , Feng-Hua Ren , Run-Hong He , Yang-Yang Xie , Zhao-Ming Wang

We present a detailed study of the entanglement dynamics of a two-qubit system coupled to independent non-Markovian environments, employing hierarchy equations. This recently developed theoretical treatment can conveniently solve…

Quantum Physics · Physics 2015-05-20 Hao-Tian Wang , Chuan-Feng Li , Yang Zou , Rong-Chun Ge , Guang-Can Guo

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

Quantum Physics · Physics 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

We study the dynamics of a dressed qubit implemented by a spinless fermion hopping between two lattice sites with each site strongly coupled to a bath of phonons. We employ Lang-Firsov transformation to make the problem tractable…

Quantum Physics · Physics 2026-02-10 Saima Bashir , Muzaffar Qadir Lone , Prince A Ganai

The spin-boson model, describing a two-level system strongly coupled to a bosonic bath, is extensively studied as a paradigmatic dissipative quantum system, exhibiting rich dynamical behavior and even a localization transition in the strong…

Quantum Physics · Physics 2024-08-20 Naushad Ahmad Kamar , Daniel A. Paz , Mohammad F. Maghrebi

We consider two identical and non-interacting harmonic oscillators coupled to either two independent bosonic baths or to a common bosonic bath. Under the only assumption of weak coupling, we analyze in details the non-Markovian short…

Quantum Physics · Physics 2015-05-18 R. Vasile , P. Giorda , S. Olivares , M. G. A. Paris , S. Maniscalco

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

We develop a method to study quantum impurity models, small interacting quantum systems linearly coupled to an environment, in presence of an additional Markovian quantum bath, with a generic non-linear coupling to the impurity. We aim at…

Quantum Physics · Physics 2025-03-10 Orazio Scarlatella , Marco Schirò

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a…

Quantum Physics · Physics 2024-12-03 Mariia Ivanchenkoa , Peter L. Walters , Fei Wang

We derive an extension to the quantum regression theorem which facilitates the calculation of two-time correlation functions and emission spectra for systems undergoing non-Markovian evolution. The derivation exploits projection operator…

Quantum Physics · Physics 2016-05-04 Dara P. S. McCutcheon

We propose a scheme to characterize the non-Markovian dynamics and quantify the non-Markovianity via the non-classicality measured by the negativity of quantumness. By considering a qubit in contact with a critical Ising spin bath and…

Quantum Physics · Physics 2015-06-23 Zheng-Da Hu , Yixin Zhang , Ye-Qi Zhang

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

We show that eigenstates |n> of the harmonic oscillator coupled to a linear Markovian bath demonstrate a non-trivial behavior in the dynamics of measures of non-classicality. Specifically, as the system undergoes decoherence, a…

Quantum information processing relies on how dynamics unfold in open quantum systems. In this work, we study the non-Markovian dynamics in the single mode spin-boson model at strong couplings. In order to apply perturbation theory, we…

Quantum Physics · Physics 2025-01-03 Rayees A Mala , Mehboob Rashid , Muzaffar Qadir Lone

A new analytical approach, beyond rotating wave approximation, based on unitary transformations and the non-Markovian master equation for the density operator, is applied to treat the biased spin boson model with a Lorentzian structured…

Mesoscale and Nanoscale Physics · Physics 2010-03-10 Congjun Gan , Peihao Huang , Hang Zheng

We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we…

Quantum Physics · Physics 2013-04-30 F. Ciccarello , G. M. Palma , V. Giovannetti

We investigate continuous quantum error correction, comparing performance under a Markovian error model to two distinct non-Markovian models. The first non-Markovian model involves an interaction Hamiltonian between the system and an…

Quantum Physics · Physics 2026-03-09 Juan Garcia Nila , Todd A. Brun

Non-Markovian quantum state diffusion (NMQSD) provides a powerful approach to the dynamics of an open quantum system in bosonic environments. Here we develop an NMQSD method to study the open quantum system in fermionic environments. This…

Quantum Physics · Physics 2015-06-04 Mi Chen , J. Q. You

Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been…

Statistical Mechanics · Physics 2018-07-20 Chitrak Bhadra , Ion Santra , Dhruba Banerjee