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We study non-Markovianity in the exact dynamics of two two-level atoms in a resonant cavity. We find a critical behavior in the form of a Markovian to non-Markovian transition at a finite interatomic distance and a discontinuity in the…

Quantum Physics · Physics 2025-02-28 Ignacio González , Ángel Rivas

We study discrete quantum dynamics where single evolution step consists of unitary system transformation followed by decoherence via coupling to an environment. Often non-Markovian memory effects are attributed to structured environments…

Quantum Physics · Physics 2016-06-22 Kimmo Luoma , Jyrki Piilo

We introduce a method of characterization of non-Markovianity using coherence of a system interacting with the environment. We show that under the allowed incoherent operations, monotonicity of a valid coherence measure is affected due to…

Quantum Physics · Physics 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

An operational (measurement based) scheme that connects measurement invasiveness and the presence of non-classical memory effects in open quantum systems is defined. Its underlying theoretical basis relies on a non-invasive measurability of…

Quantum Physics · Physics 2025-07-09 Adrián A. Budini

Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in…

Quantum Physics · Physics 2012-12-27 A. Barchielli , C. Pellegrini , F. Petruccione

The interaction between an open quantum system and its environment induces generally memory effects generated by the fact that the response of the system to the environment is not instantaneous. Different physical reasons can be at the…

Quantum Physics · Physics 2014-09-01 Tarek Khalil , Jean Richert

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

The degree of non-Markovianity of quantum processes has been characterized in several different ways in the recent literature. However, the relationship between the non-Markovian behavior and the flow of information between the system and…

Quantum non-Markovianity represents memory during the system dynamics, which is typically weakened by the temperature. We here study the effects of environmental temperature on the non-Markovianity of an open quantum system by virtue of…

Quantum Physics · Physics 2018-06-13 Zhong-Xiao Man , Yun-Jie Xia , Rosario Lo Franco

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit…

Quantum Physics · Physics 2010-04-27 Z. Y. Xu , W. L. Yang , M. Feng

Principles of monitoring non-Markovian open quantum systems are analyzed. We use the field representation of the environment (Gardiner and Collet, 1985) for the separation of its memory and detector part, respectively. We claim the…

Quantum Physics · Physics 2013-05-30 Lajos Diósi

We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We provide a toy model to show that these two…

Quantum Physics · Physics 2011-06-03 Dariusz Chruściński , Andrzej Kossakowski , Ángel Rivas

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

We study a class of multipartite open quantum dynamics for systems of arbitrary number of qubits. The non-Markovian quantum master equation can involve arbitrary single or multipartite and time-dependent dissipative coupling mechanisms,…

Quantum Physics · Physics 2021-09-09 Adrián A. Budini , Juan P. Garrahan

We study electronic transport through a quantum dot in the Fermi-edge singularity regime, placing emphasis on its non-Markovian attributes. These are quantified by the behavior of current noise as well as trace-distance-based measure of…

Mesoscale and Nanoscale Physics · Physics 2012-12-05 Katarzyna Roszak , Tomáš Novotný

We introduce a method to distribute memory effects among different subspaces of an open two-qubit system's state space. Within the linear optical framework, our system of interest is the polarization of two photons, while the environment…

Quantum Physics · Physics 2020-08-27 O. Siltanen , T. Kuusela , J. Piilo

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

Using recently proposed measures for non-Markovianity [H. P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. {\bf 103}, 210401 (2009)], we study the dynamics of a qubit coupled to a spin environment via an energy-exchange mechanism. We…

Quantum Physics · Physics 2015-05-20 T. J. G. Apollaro , C. Di Franco , F. Plastina , M. Paternostro

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown of monotonicity of thermodynamic functions. By adopting an entropy-based formulation of quantum thermodynamics, we use the…

Quantum Physics · Physics 2023-03-28 J. M. Z. Choquehuanca , F. M. de Paula , M. S. Sarandy

We unveil a novel source of non-Markovianity for the dynamics of quantum systems, which appears when the system does not explore the full set of dynamical trajectories in the interaction with its environment. We term this effect…

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