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Related papers: Non-Markovianity criteria for open system dynamics

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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…

We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a…

Quantum Physics · Physics 2012-09-03 Dariusz Chruściński , Andrzej Kossakowski

The study of quantum dynamics featuring memory effects has always been a topic of interest within the theory of open quantum system, which is concerned about providing useful conceptual and theoretical tools for the description of the…

Quantum Physics · Physics 2020-08-25 Bassano Vacchini

One of the most important topics in the study of the dynamics of open quantum system is information exchange between system and environment. Based on the features of a back-flow information from an environment to a system, an approach is…

Quantum Physics · Physics 2015-09-23 S. Haseli , S. Salimi , A. S. Khorashad

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

The way a principle system and its environment interact characterizes the non-Markovianity of the dynamics. Herein, we investigate the non-Markovian dynamics of photon polarization in a birefringent crystal. We consider the so-called…

Quantum Physics · Physics 2018-10-31 Kai-Hung Wang , Shih-Hsuan Chen , Yu-Cheng Lin , Che-Ming Li

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

Quantum Physics · Physics 2009-08-07 Adrian A. Budini Paolo Grigolini

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

One of the fundamental issues in the field of open quantum systems is the classification and quantification of non-Markovianity. In the contest of quantity-based measures of non-Markovianity, the intuition of non-Markovianity in terms of…

Quantum Physics · Physics 2018-01-24 Hong-Bin Chen , Guang-Yin Chen , Yueh-Nan Chen

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

We define non-Markovian quantum dynamics as evolution in which the current state depends on all past states, and completely characterize its structure under the assumptions of complete positivity and non-signalling. The resulting…

Quantum Physics · Physics 2026-05-07 Serhii Kryhin , Vivishek Sudhir

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

Statistical Mechanics · Physics 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

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

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

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

Although a number of measures for quantum non-Markovianity have been proposed recently, it is still an open question whether these measures directly characterize the memory effect of the environment, i.e., the dependence of a quantum state…

Quantum Physics · Physics 2015-01-28 S. C. Hou , S. L. Liang , X. X. Yi

Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it represents a loss of information. In situations where…

Quantum Physics · Physics 2022-11-02 Dominic Gribben , Aidan Strathearn , Gerald E. Fux , Peter Kirton , Brendon W. Lovett

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

Quantum Physics · Physics 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

Quantum Physics · Physics 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac