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相关论文: Correlated projection operator approach to non-Mar…

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The correlated projection superoperator techniques provide a better understanding about how correlations lead to strong non-Markovian effects in open quantum systems. Their superoperators are independent of initial state, which may not be…

量子物理 · 物理学 2020-09-11 Zhiqiang Huang

The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We introduce a class of projection superoperators which project the states of the total system…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

The reduced dynamics of a central spin coupled to a bath of N spin-1/2 particles arranged in a spin star configuration is investigated. The exact time evolution of the reduced density operator is derived, and an analytical solution is…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer , Daniel Burgarth , Francesco Petruccione

Efficient methods for the description of the non-Markovian dynamics of open systems play an important role in many proposed applications of quantum mechanics. Here we review some of the most important tools that are based on the projection…

量子物理 · 物理学 2007-07-03 Heinz-Peter Breuer

The reduced dynamics of two interacting qubits coupled to two independent bosonic baths is investigated. The one-excitation dynamics is derived and compared with that based on the resolution of appropriate non-Markovian master equations.…

量子物理 · 物理学 2018-09-05 E. Ferraro , M. Scala , R. Migliore , A. Napoli

The non-Markovian master equation for open quantum systems is obtained by generalization of the ordinary Zwanzig-Nakajima (ZN) projection technique. To this end, a coupled chain of equations for the reduced density matrices of the bath…

统计力学 · 物理学 2019-11-28 V. V. Ignatyuk , V. G. Morozov

We present an analytic approach to treat open quantum systems strongly coupled to multiple environments via noncommuting system operators, a prime example is a qubit concurrently coupled to both decoherring and dissipative baths. Our…

量子物理 · 物理学 2025-04-23 Jakub Garwoła , Dvira Segal

We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian and non-Markovian master equations describing the dynamics of…

量子物理 · 物理学 2007-12-04 Hari Krovi , Ognyan Oreshkov , Mikhail Ryazanov , Daniel A. Lidar

Studies of the dynamics of a quantum system coupled to baths are typically performed by utilizing the Nakajima-Zwanzig memory kernel (${\mathcal{K}}$) or the influence functions ($\mathbf{{I}}$), especially when the dynamics exhibit memory…

量子物理 · 物理学 2024-06-05 Felix Ivander , Lachlan P. Lindoy , Joonho Lee

We present a projection-based, stability-preserving methodology for computing time correlation functions in open quantum systems governed by generalized quantum master equations with non-Markovian effects. Building upon the memory kernel…

量子物理 · 物理学 2026-02-12 Wei Liu , Rui-Hao Bi , Yu Su , Limin Xu , Zhennan Zhou , Yao Wang , Wenjie Dou

In this article we revisit the theory of open quantum systems from the perspective of fermionic baths. Specifically, we concentrate on the dynamics of a central spin half particle interacting with a spin bath. We have calculated the exact…

量子物理 · 物理学 2021-09-14 Samyadeb Bhattacharya , Subhashish Banerjee

The strong system-bath correlation is a typical initial condition in many condensed matter and some quantum optical systems. Here, the dynamics of a spin interacting with a spin bath through an intermediate spin are studied. Initial…

量子物理 · 物理学 2014-01-30 V. Semin , I. Sinayskiy , F. Petruccione

The standard theoretical descriptions of the dynamics of open quantum systems rely on the assumption that the correlations with the environment can be neglected at some reference (initial) time. While being reasonable in specific instances,…

量子物理 · 物理学 2021-11-22 Andrea Trevisan , Andrea Smirne , Nina Megier , Bassano Vacchini

We apply the time-convolutionless (TCL) projection operator technique to the model of a central spin which is coupled to a spin bath via nonuniform Heisenberg interaction. The second-order results of the TCL method for the coherences and…

量子物理 · 物理学 2008-08-28 E. Ferraro , H. -P. Breuer , A. Napoli , M. A. Jivulescu , A. Messina

The generalized Master equation of the Nakajima-Zwanzig (NZ) type has been used extensively to investigate the coherence dynamics of the central spin model with the nuclear bath in a narrowed state characterized by a well defined value of…

介观与纳米尺度物理 · 物理学 2011-10-19 Edwin Barnes , Łukasz Cywiński , S. Das Sarma

Here, we develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system. Particularly, two different types of interactions are investigated between the system and the bath: Heisenberg interaction with…

量子物理 · 物理学 2025-11-11 Devvrat Tiwari , Subhashish Banerjee

A model of an arbitrary spin coupled to a bath of spins 1/2 in a star configuration is considered. The exact reduced dynamics of the central spin is found for the case of non-correlated initial conditions of the system and the bath. The…

量子物理 · 物理学 2014-06-20 V. Semin , I. Sinayskiy , F. Petruccione

The dynamics of finite dimension open quantum systems is studied with the help of the simplest possible form of projection operators, namely the ones which project only onto one dimensional subspaces. The simplicity of the action of the…

量子物理 · 物理学 2016-08-17 Vitalii Semin , Francesco Petruccione

We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second order expansion of the Nakajima-Zwanzig master…

介观与纳米尺度物理 · 物理学 2019-10-18 Stephanie Matern , Daniel Loss , Jelena Klinovaja , Bernd Braunecker

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer
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