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We study the non-Markovianity and quantum speedup of a two-level atom (quantum system of interest) in a dissipative Jaynes-Cumming model, where the atom is embedded in a single-mode cavity, which is leaky being coupled to an external…

Quantum Physics · Physics 2020-07-21 Hong-Mei Zou , Rongfang Liu , Dan Long , Jianhe Yang , Danping Lin

In this work we study the non-Markovian behaviour of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both…

Quantum Physics · Physics 2014-03-03 I. Garcia-Mata , Carlos Pineda , Diego A. Wisniacki

The dynamics of open quantum systems and manipulation of quantum resources are both of fundamental interest in quantum physics. Here, we investigate the relation between quantum Markovianity and coherence, providing an effective way for…

Quantum Physics · Physics 2020-06-23 Kang-Da Wu , Zhibo Hou , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo , Daoyi Dong , Franco Nori

Understanding and simulating non-Markovian quantum dynamics remains an important challenge in open quantum system theory. A key advance in this endeavour would be to develop a unified mathematical description of non-Markovian dynamics, and…

Quantum Physics · Physics 2022-11-09 Rahul Trivedi

A procedure that allows to obtain the dynamics of $N$ independent bodies each locally interacting with its own reservoir is presented. It relies on the knowledge of single body dynamics and it is valid for any form of environment noise. It…

Quantum Physics · Physics 2009-11-13 Bruno Bellomo , Rosario Lo Franco , Giuseppe Compagno

Quantum dynamical maps provide suitable mathematical representation of quantum evolutions. It is the very notion of complete positivity which provides a proper mathematical representation of quantum evolution and gives rise to the powerful…

Quantum Physics · Physics 2022-09-30 Dariusz Chruściński

In the case of the discrete time coined quantum walk the reduced dynamics of the coin shows non-Markovian recurrence features due to information back-flow from the position degree of freedom. Here we study how this non-Markovian behavior is…

We study the effect of non-Markovianity in the charging process of an open-system quantum battery. We employ a collisional model framework, where the environment is described by a discrete set of ancillary systems and memory effects in the…

Quantum Physics · Physics 2023-05-15 Daniele Morrone , Matteo A. C. Rossi , Andrea Smirne , Marco G. Genoni

Quantum dynamics simulation on analog quantum simulators and digital quantum computer platforms has emerged as a powerful and promising tool for understanding complex non-equilibrium physics. However, the impact of quantum noise on the…

Quantum Physics · Physics 2025-12-10 Yu-Qin Chen , Shi-Xin Zhang , Shengyu Zhang

We consider a circuit-QED setup that allows the induction and control of non-Markovian dynamics of a qubit. Non-Markovianity is enforced over the qubit by means of its direct coupling to a bosonic mode which is controllably coupled to other…

Quantum Physics · Physics 2015-03-13 P. C. Cárdenas , M. Paternostro , F. L. Semião

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

Quantum Physics · Physics 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of…

Quantum Physics · Physics 2014-09-24 N. K. Bernardes , A. R. R. Carvalho , C. H. Monken , M. F. Santos

We explore the connection between two recently introduced notions of non-Markovian quantum dynamics and the validity of the so-called quantum regression theorem. While non-Markovianity of a quantum dynamics has been defined looking at the…

Quantum Physics · Physics 2014-08-27 Giacomo Guarnieri , Andrea Smirne , Bassano Vacchini

Stochastic unravelings provide a useful way to represent open quantum system dynamics in terms of pure state realizations, and have been widely studied both from a fundamental and from a computational point of view. They were initially…

Quantum Physics · Physics 2026-05-11 Federico Settimo , Jyrki Piilo

Standard measures of quantum non-Markovianity are usually defined in terms of dynamical maps on a preferred time foliation and therefore do not extend straightforwardly to curved spacetimes, where no global time coordinate exists and causal…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Tushar Waghmare

We study the dynamics of a nanomechanical resonator (NMR) subject to a measurement by a low transparency quantum point contact (QPC) or tunnel junction in the non-Markovian domain. We derive the non-Markovian number-resolved (conditional)…

Mesoscale and Nanoscale Physics · Physics 2011-03-30 Po-Wen Chen , Chung-Chin Jian , Hsi-Sheng Goan

Quantum thermodynamics studies how quantum systems and operations may be exploited as sources of work to perform useful thermodynamic tasks. In real-world conditions, the evolution of open quantum systems typically displays memory effects,…

Quantum Physics · Physics 2025-05-30 Guilherme Zambon , Gerardo Adesso

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

Using the paradigm of information backflow to characterize a non-Markovian evolution, we introduce so-called precursors of non-Markovianity, i.e. necessary properties that the system and environment state must exhibit at earlier times in…

Quantum Physics · Physics 2019-05-31 Steve Campbell , Maria Popovic , Dario Tamascelli , Bassano Vacchini

Recently, a series of different measures quantifying memory effects in the quantum dynamics of open systems has been proposed. Here, we derive a mathematical representation for the non-Markovianity measure based on the exchange of…

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