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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…

量子物理 · 物理学 2014-01-07 N. Lo Gullo , I. Sinayskiy , Th. Busch , F. Petruccione

The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time dependent oscillation of the…

量子物理 · 物理学 2011-08-31 Marko Znidaric , Carlos Pineda , Ignacio Garcia-Mata

We introduce a classification scheme for the generators of open fermionic Gaussian dynamics. We simultaneously partition the dynamics along the following four lines: (1) unitary versus non-unitary, (2) active versus passive, (3)…

量子物理 · 物理学 2020-01-15 Marvellous Onuma-Kalu , Daniel Grimmer , Robert B. Mann , Eduardo Martin-Martinez

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

量子物理 · 物理学 2013-09-26 Adrian A. Budini

It is known that the time evolution of a subsystem from an initial state to two later times, t1, t2 (t2 > t1), are both completely positive (CP) but it is shown here that in the intermediate times between t1 and t2, in general, it need not…

量子物理 · 物理学 2011-04-26 A. R. Usha Devi , A. K. Rajagopal , Sudha

The Markovian dynamics of a qubit is investigated in the scheme of random unitary dynamics, where Kraus operators are changed by an extra noise. The behavior of Markovianity is explored in the perturbed scenario. We provide a new algorithm…

量子物理 · 物理学 2017-06-07 Filip A. Wudarski , Francesco Petruccione

Non-Markovian effects arising in open quantum systems evolution have been a subject of increasing interest over the past decade. One of the most appealing features of non-Markovianity (NM) is that it captures scenarios where loss of…

量子物理 · 物理学 2017-08-02 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

In the present work we recall and extend the results of previous work concerning the time evolution of open quantum systems. We show how general properties of such systems are related to their structure properties, those of their…

量子物理 · 物理学 2016-06-01 Tarek Khalil , Jean Richert

A large class of non-Markovian quantum processes in open systems can be formulated through time-local master equations which are not in Lindblad form. It is shown that such processes can be embedded in a Markovian dynamics which involves a…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

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,…

量子物理 · 物理学 2021-09-09 Adrián A. Budini , Juan P. Garrahan

We discuss the classical and quantum mechanical evolution of systems described by a Hamiltonian that is a function of a solvable one, both classically and quantum mechanically. The case in which the solvable Hamiltonian corresponds to the…

量子物理 · 物理学 2015-05-13 J. Fernando Barbero G. , Iñaki Garay , Eduardo J. S. Villaseñor

We study the classical limit of quantum mechanics on graphs by introducing a Wigner function for graphs. The classical dynamics is compared to the quantum dynamics obtained from the propagator. In particular we consider extended open graphs…

凝聚态物理 · 物理学 2009-11-07 Felipe Barra , Pierre Gaspard

It is shown how S-matrix theory and the concept of continuous quantum measurements can be combined to yield Markovian master equations which describe the environmental interaction non-perturbatively. The method is then applied to obtain the…

量子物理 · 物理学 2007-05-23 Klaus Hornberger

In this article I study the dynamics of open quantum system in Markovian environment. I give necessary and sufficient conditions for such dynamics to be majorization monotone, which are those dynamics always mixing the states.

量子物理 · 物理学 2015-06-24 Haidong Yuan

Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the thermodynamic principles in terms of a set of postulates we obtain a thermodynamically consistent…

量子物理 · 物理学 2021-12-01 Roie Dann , Ronnie Kosloff

This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms…

量子物理 · 物理学 2025-11-05 Shovan Dutta

The transverse-field XY model in one dimension is a well-known spin model for which the ground state properties and excitation spectrum are known exactly. The model has an interesting phase diagram describing quantum phase transitions…

量子物理 · 物理学 2015-06-03 Amit Kumar Pal , Indrani Bose

We give an approach to open quantum systems based on formal deformation quantization. It is shown that classical open systems of a certain type can be systematically quantized into quantum open systems preserving the complete positivity of…

数学物理 · 物理学 2015-05-13 Florian Becher , Nikolai Neumaier , Stefan Waldmann

We propose a protocol to simulate the evolution of a non-Markovian open quantum system by considering a collisional process with a many-body system, which plays the role of an environment. As a result of our protocol the environment spatial…

量子物理 · 物理学 2017-12-18 Eduardo Mascarenhas , Ines de Vega

Using random matrices, we study the reduced dynamics of a two level system interacting with a generic environment. In the weak coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian…

量子物理 · 物理学 2016-02-01 Nephtalí Garrido , Thomas Gorin , Carlos Pineda