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Master equations describing open quantum dynamics are typically first order differential equations. When such dynamics brings the trajectories in state space of more than one initial state to the same point at finite instants in time, the…

Quantum Physics · Physics 2021-12-03 Abhaya S. Hegde , K. P. Athulya , Vijay Pathak , Jyrki Piilo , Anil Shaji

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

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

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 rate of the trace distance is used to evaluate quantum speed-up for arbitrary mixed states. Compared with some present methods, the approach based on trace distance can provide an optimal bound to the speed of the evolution. The…

Quantum Physics · Physics 2016-11-04 Xiang Hao , Wenjiong Wu

In this Letter we investigate Quantum Darwinism and the emergence of a classical world from the quantum one in connection with the spectral properties of the environment. We use a microscopic model of quantum environment in which, by…

Quantum Physics · Physics 2018-04-06 F. Galve , R. Zambrini , S. Maniscalco

Dynamical A and B maps have been employed extensively by Sudarshan and co-workers to investigate open system evolution of quantum systems. A canonical structure of the A-map is introduced here. It is shown that this canonical A-map enables…

Quantum Physics · Physics 2011-03-02 A. R. Usha Devi , A. K. Rajagopl , Sudha

In the dynamics of open quantum systems, information may propagate in time through either the system or the environment, giving rise to Markovian and non-Markovian temporal correlations, respectively. However, despite their notable…

Quantum Physics · Physics 2024-06-04 Guilherme Zambon , Diogo O. Soares-Pinto

Non-Markovian evolution in open quantum systems is often characterized in terms of the backflow of information from environment to system and is thus an important facet in investigating the performance and robustness of quantum information…

Quantum Physics · Physics 2015-03-24 Himadri Shekhar Dhar , Manabendra Nath Bera , Gerardo Adesso

We present a method to detect quantum memory in a non-Markovian process. We call a process Markovian when the environment does not provide a memory that retains correlations across different system-environment interactions. We define two…

Quantum Physics · Physics 2021-04-28 Christina Giarmatzi , Fabio Costa

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

Statistical Mechanics · Physics 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

There are strong evidences in the literature that quantum non-Markovianity would hinder the presence of Quantum Darwinism. In this Letter, we study the relation between quantum Darwinism and approximate quantum Markovianity for open quantum…

Quantum Physics · Physics 2023-11-08 Xiao-Kan Guo , Zhiqiang Huang

We provide further characterization of non-Markovian quantum dynamics based on the concept of divisible dynamical maps. In analogy to entanglement witness we propose a non-Markovianity witness and introduce the corresponding measure of…

Quantum Physics · Physics 2014-02-26 Dariusz Chruściński , Andrzej Kossakowski

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 analyse the dynamics of metastable Markovian open quantum systems by unravelling their average dynamics into stochastic trajectories. We use quantum reset processes as examples to illustrate metastable phenomenology, including a simple…

Quantum Physics · Physics 2024-04-08 Calum A. Brown , Katarzyna Macieszczak , Robert L. Jack

Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly studied for idealized memory-less environments under the so-called Markov approximation. Yet, most quantum materials and experiments in the solid…

Quantum Physics · Physics 2024-10-11 Baptiste Debecker , John Martin , François Damanet

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

Quantum Physics · Physics 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

The memory effects in open quantum systems can induce information backflow and revive quantum correlations, thereby providing a powerful way to protect and recover useful quantum resources in realistic noisy environments. However, such…

Each scheme of state reconstruction comes down to parametrize the state of a quantum system by expectation values or probabilities directly measurable in an experiment. It is argued that the time evolution of these quantities provides an…

Quantum Physics · Physics 2014-11-18 Stefan Weigert

We address memory effects in the dynamics of a two-level open quantum system interacting with a classical fluctuating field via dipole interaction. In particular, we study the backflow of information for a field with a Lorentzian spectrum,…

Quantum Physics · Physics 2019-02-20 Samaneh Hesabi , Davood Afshar , Matteo G. A. Paris
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