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A Markovian quantum process can be arbitrarily divided into two or more legitimate completely-positive (CP) subprocesses. When at least one non-CP process exists among the divided processes, the dynamics is considered non-Markovian.…

Quantum Physics · Physics 2024-03-19 Chan Hsu , Yu-Chien Kao , Hong-Bin Chen , Shih-Hsuan Chen , Che-Ming Li

In this work, we detail different approaches to treat multi-mode photonic environments within non-relativistic quantum electrodynamics in the long-wavelength approximation efficiently. Specifically we show that for equilibrium properties of…

Quantum Physics · Physics 2025-12-08 Davis M. Welakuh , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We study the non-Markovian dynamics of a qubit made up of a two-level atom interacting with an electromagnetic field (EMF) initially at finite temperature. Unlike most earlier studies where the bath is assumed to be fixed, we study the…

Quantum Physics · Physics 2009-11-10 S. Shresta , C. Anastopoulos , A. Dragulescu , B. L. Hu

We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the…

Quantum Physics · Physics 2010-01-05 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo

We study the dynamics of an open quantum system interacting with a non-thermal bath. Here, "non-thermal" means that the bath modes do not need to have the same temperature, but they have an effective temperature distribution. We find that,…

Quantum Physics · Physics 2016-04-12 Sheng-Wen Li , Moochan B. Kim , Marlan O. Scully

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

Quantum Physics · Physics 2014-11-24 Vitalii Semin , Francesco Petruccione

The reliable transmission of quantum information remains a central challenge in the presence of environmental noise. In particular, maintaining high teleportation fidelity in open quantum systems is hindered by decoherence, which disrupts…

Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental science and concrete applications. Most of the…

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

It is common, when dealing with quantum processes involving a subsystem of a much larger composite closed system, to treat them as effectively memory-less (Markovian). While open systems theory tells us that non-Markovian processes should…

Quantum Physics · Physics 2019-05-02 Pedro Figueroa-Romero , Kavan Modi , Felix A. Pollock

Models of quantum disentanglement are developed for nanometer-scale molecular charge qubits (MCQs). Two MCQs, $A$ and $B$, are prepared in a Bell state and separated for negligible $A$-$B$ interactions. Interactions between the local…

Quantum Physics · Physics 2020-03-18 Shengyang Zhou , Enrique P. Blair

A Markov assumption considers a physical system memoryless to simplify its dynamics. Whereas memory effect or the non-Markovian phenomenon is more general in nature. In the quantum regime, it is challenging to define or quantify the…

We analyze and compare different measures for the degree of non-Markovianity in the dynamics of open quantum systems. These measures are based on the distinguishability of quantum states which is quantified, on the one hand, by the trace…

Quantum Physics · Physics 2022-10-25 Federico Settimo , Heinz-Peter Breuer , Bassano Vacchini

Cascaded emission from the biexciton state of a quantum dot results in polarization entangled photon pairs. However, modelling this system becomes challenging when photon emission is cavity-mediated due to the large Hilbert space and…

Quantum Physics · Physics 2026-03-24 Katy Snow , Mauro Paternostro

We present a new short-time approximation scheme for evaluation of decoherence. At low temperatures, the approximation is argued to apply at intermediate times as well. It then provides a tractable approach complementary to Markovian-type…

Quantum Physics · Physics 2010-10-12 Vladimir Privman

The system-environment interaction is simulated by light propagating in coupled photonic waveguides. The profile of the electromagnetic field provides intuitive physical insight to study the Markovian and non-Markovian dynamics of open…

Quantum Physics · Physics 2013-12-16 Chang-Ling Zou , Xiang-Dong Chen , Xiao Xiong , Fang-Wen Sun , Xu-Bo Zou , Zheng-Fu Han , Guang-Can Guo

In this work we develop an open quantum system view of the parametric approximation, which allows us to obtain systematic perturbative corrections to it. We consider the Jaynes-Cummings model with dissipation, assuming that the field is in…

Quantum Physics · Physics 2025-05-07 A. Yu. Karasev , A. E. Teretenkov

Dynamical aspects of quantum Brownian motion in a low temperature environment are investigated. We give a systematic calculation of quantum entanglement among two Brownian oscillators without invoking Born-Markov approximation widely used…

Quantum Physics · Physics 2009-11-13 K. Shiokawa

Non-Markovianity, as an important feature of general open quantum systems, is usually difficult to quantify with limited knowledge of how the plant that we are interested in interacts with its environment-the bath. It often happens that the…

Quantum Physics · Physics 2011-11-28 Huan Yang , Haixing Miao , Yanbei Chen

In this paper, we study both open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics arising from the interaction between a quantum system and its environment. We use the widely studied cavity…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Nina H. Amini , John E. Gough , Guofeng Zhang
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