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Related papers: Long-time memory in non-Markovian evolutions

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We study memory dependent binary-state dynamics, focusing on the noisy-voter model. This is a non-Markovian process if we consider the set of binary states of the population as the description variables, or Markovian if we incorporate…

Physics and Society · Physics 2020-02-25 Antonio F. Peralta , Nagi Khalil , Raul Toral

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

Statistical Mechanics · Physics 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational…

Quantum Physics · Physics 2017-09-29 Vincent R. Overbeck , Hendrik Weimer

We investigate the conditions under which the trace distance between two different states of a given open system increases in time due to the interaction with an environment, therefore signalling non-Markovianity. We find that the…

Quantum Physics · Physics 2013-06-12 Andrea Smirne , Laura Mazzola , Mauro Paternostro , Bassano Vacchini

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

Quantum Physics · Physics 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

We measure and quantify non-Markovian effects in IBM's Quantum Experience. Specifically, we analyze the temporal correlations in a sequence of gates by characterizing the performance of a gate conditioned on the gate that preceded it. With…

Quantum Physics · Physics 2023-01-23 Joshua Morris , Felix A. Pollock , Kavan Modi

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

We study the coexistence of the quantum Zeno effect and non-Markovianity for a system decaying in a structured bosonic environment and subject to a control field. The interaction with the environment induces decay from the excited to the…

Quantum Physics · Physics 2016-02-04 Antti Karlsson , Francesco Francica , Jyrki Piilo , Francesco Plastina

The question, whether an open system dynamics is Markovian or non-Markovian can be answered by studying the direction of the information flow in the dynamics. In Markovian dynamics, information must always flow from the system to the…

Quantum Physics · Physics 2018-10-11 Sagnik Chakraborty , Arindam Mallick , Dipanjan Mandal , Sandeep K. Goyal , Sibasish Ghosh

A universal definition of non-Markovianity for open systems dynamics is proposed. It is extended from the classical definition to the quantum realm by showing that a `transition' from the Markov to the non-Markov regime occurs when the…

Quantum Physics · Physics 2014-01-07 N. Lo Gullo , I. Sinayskiy , Th. Busch , F. Petruccione

A procedure to obtain the dynamics of $N$ independent qudits ($d$-level systems) each interacting with its own reservoir, for any arbitrary initial state, is presented. This is then applied to study the dynamics of the entanglement of two…

Quantum Physics · Physics 2009-11-13 B. Bellomo , R. Lo Franco , G. Compagno

The dynamics of open quantum system are often modeled by non-Markovian processes that account for memory effects arising from interactions with the environment. It is well-known that the memory provided by the environment can be classical…

Quantum Physics · Physics 2025-10-22 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

Statistical Mechanics · Physics 2007-05-23 V. G. Morozov , Gerd Ropke

One of the defining traits of quantum mechanics is the uncertainty principle which was originally expressed in terms of the standard deviation of two observables. Alternatively, it can be formulated using entropic measures, and can also be…

Quantum Physics · Physics 2015-09-30 Göktuğ Karpat , Jyrki Piilo , Sabrina Maniscalco

We provide an analysis on non-Markovian quantum evolution based on the spectral properties of dynamical maps. We introduce the dynamical analog of entanglement witness to detect non-Markovianity and we illustrate its behaviour with several…

Quantum Physics · Physics 2017-03-01 Dariusz Chruściński , Chiara Macchiavello , Sabrina Maniscalco

A large class of linear memory differential equations in one dimension, where the evolution depends on the whole history, can be equivalently described as a projection of a Markov process living in a higher dimensional space. Starting with…

Classical Analysis and ODEs · Mathematics 2018-04-09 Artur Stephan , Holger Stephan

Recent pioneering experiments on non-Markovian dynamics done e.g. for active matter have demonstrated that our theoretical understanding of this challenging yet hot topic is rather incomplete and there is a wealth of phenomena still…

Statistical Mechanics · Physics 2024-02-27 M. Wiśniewski , J. Łuczka , J. Spiechowicz

We show that an open quantum system in a non-Markovian environment can reach steady states that it cannot reach in a Markovian environment. As these steady states are unique for the non-Markovian regime, they could offer a simple way of…

Quantum Physics · Physics 2022-03-14 Andreas Ask , Göran Johansson

We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect…

Quantum Physics · Physics 2015-05-13 Qing-Jun Tong , Jun-Hong An , Hong-Gang Luo , C. H. Oh

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
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