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Positivity preservation is naturally guaranteed in exact non-Markovian master equations for open quantum system dynamics. However, in many approximated non-Markovian master equations, the positivity of the reduced density matrix is not…

Quantum Physics · Physics 2024-02-08 Wufu Shi , Yusui Chen , Quanzhen Ding , Jin Wang , Ting Yu

We study transient entanglement generation between two quantum nodes coupled through a chiral one-dimensional channel. In an emitter-only Born-Markov description, we show that continuous driving and an initial ground state can raise the…

Quantum Physics · Physics 2026-04-16 Yan Xi Foo , Kian Hwee Lim , Jia-Bin You , Leong Chuan Kwek , Davit Aghamalyan

In this work we study the behaviour of two weakly coupled quantum systems, described by a separable density operator; one of them is a single oscillator, representing a microscopic system, while the other is a set of oscillators which…

Mathematical Physics · Physics 2016-08-24 Jeferson Tomazelli , Renan Cunha

We investigate a special time-dependent quantum model which assumes the Landau-Zener driving form but with an overall modulation of the intensity of the pulsing field. We demonstrate that the dynamics of the system, including the two-level…

Quantum Physics · Physics 2018-06-19 Wei Li , Li-Xiang Cen

We analyze some solvable models of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. We apply Nakajima-Zwanzig's projection method by choosing a reference state of the reservoir endowed…

Quantum Physics · Physics 2008-03-01 K. Yuasa , S. Tasaki , P. Facchi , G. Kimura , H. Nakazato , I. Ohba , S. Pascazio

For the efficient simulation of open quantum systems we often use quantum jump trajectories given by pure states that evolve stochastically to unravel the dynamics of the underlying master equation. In the Markovian regime, when the…

Quantum Physics · Physics 2023-10-20 Tobias Becker , Ché Netzer , André Eckardt

Quantum Markov models are employed ubiquitously in quantum physics and in quantum information theory due to their relative simplicity and analytical tractability. In particular, these models are known to give accurate approximations for a…

Quantum Physics · Physics 2024-02-02 Hendra I. Nurdin

In open quantum systems theory, reduced models are invaluable for conceptual understanding and computational efficiency. Adiabatic elimination is a useful model reduction method for systems with separated timescales, where a reduced model…

Quantum Physics · Physics 2025-05-12 Masaaki Tokieda , Angela Riva

Based on the non-autonomous quantum master equation, we investigate the dissipative and decoherence properties of the two-level atom system interacting with the environment of thermal quantum radiation fields. For this system, by a novel…

Quantum Physics · Physics 2009-11-11 Shun-Jin Wang , Jun-Hong An , Hong-Gang Luo , Cheng-Long Jia

We study a generic quantum Markovian master equation for a linearly displaced or driven harmonic oscillator. It was known that the displacement dynamics of Gaussian mixed states depends on the unitary part of the Liouvillian, the decay rate…

Quantum Physics · Physics 2026-05-15 B. A. Tay

The dynamics of quantum Fisher information (QFI) of the phase parameter in a driven two-state system is studied within the framework of non-Markovian dissipative process. The influences of memory effects, classical driving and detunings on…

Quantum Physics · Physics 2015-05-20 Yan-Ling Li , Xing Xiao , Yao Yao

When a quantum system couples strongly to multiple baths then it is generally no longer possible to describe the resulting system dynamics by simply adding the individual effects of each bath. However, capturing such multi-bath system…

Using random matrices, we study the reduced dynamics of a two level system interacting with a generic environment. In the weak coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian…

Quantum Physics · Physics 2016-02-01 Nephtalí Garrido , Thomas Gorin , Carlos Pineda

Driven critical dynamics in quantum phase transitions holds significant theoretical importance, and also practical applications in fast-developing quantum devices. While scaling corrections have been shown to play important roles in fully…

Statistical Mechanics · Physics 2025-09-15 Jing-Wen Liu , Shuai Yin , Yu-Rong Shu

By using a correlated projection operator, the time-convolutionless (TCL) method to derive a quantum master equation can be utilized to investigate the transport behavior of quantum systems as well. Here, we analyze a three-dimensional…

Quantum Physics · Physics 2008-01-18 Hendrik Weimer , Mathias Michel , Jochen Gemmer , Günter Mahler

New exact completely closed homogeneous Generalized Master Equations (GMEs), governing the evolution in time of equilibrium two-time correlation functions for dynamic variables of a subsystem of s particles (s<N) selected from N>>1…

Statistical Mechanics · Physics 2020-12-30 Victor F. Los

We give a detailed theoretical derivation of the quantum master equation for the coherent Ising machine. This is a quantum computational network with feedback, that solves NP hard combinatoric problems, including the traveling salesman…

Quantum Physics · Physics 2022-08-17 Simon Kiesewetter , Peter D Drummond

We develop a Markovian master equation in the Lindblad form that enables the efficient study of a wide range of open quantum many-body systems that would be inaccessible with existing methods. The validity of the master equation is based…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Frederik Nathan , Mark S. Rudner

The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate…

Quantum Physics · Physics 2017-07-31 Nina Megier , Dariusz Chruściński , Jyrki Piilo , Walter T. Strunz

We assess non-Markovianity of a quantum open-system dynamics through the violation of temporal bell-like inequalities in a controllable Nuclear Magnetic Resonance system. We investigate experimentally the connections between the violation…

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