Programmable entanglement oscillations in a non-Markovian channel

Cialdi, S.; Brivio, Davide; Tesio, Enrico; Paris, Matteo G. A.

doi:10.1103/physreva.83.042308

Cited by 35 publications

(35 citation statements)

References 40 publications

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“…Tang et al (2012) report a measurement of the non-Markovianity of a process with tunable system-environment interaction, Cialdi et al (2011) observe controllable entanglement oscillations in an effective non-Markovian channel and in (Chiuri et al, 2012;Jin et al, 2014) simulation platforms for a wide class of non-Markovian channels are presented.…”

Section: Control and Quantification Of Memory Effects In Photonic Sysmentioning

confidence: 99%

Colloquium: Non-Markovian dynamics in open quantum systems

et al. 2016

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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 systems, to applications in condensed matter theory, quantum transport, quantum chemistry and quantum information. In close analogy to a classical Markovian stochastic process, the interaction of an open quantum system with a noisy environment is often modeled phenomenologically by means of a dynamical semigroup with a corresponding time-independent generator in Lindblad form, which describes a memoryless dynamics of the open system typically leading to an irreversible loss of characteristic quantum features. However, in many applications open systems exhibit pronounced memory effects and a revival of genuine quantum properties such as quantum coherence, correlations and entanglement. Here, recent theoretical results on the rich non-Markovian quantum dynamics of open systems are discussed, paying particular attention to the rigorous mathematical definition, to the physical interpretation and classification, as well as to the quantification of quantum memory effects. The general theory is illustrated by a series of physical examples. The analysis reveals that memory effects of the open system dynamics reflect characteristic features of the environment which opens a new perspective for applications, namely to exploit a small open system as a quantum probe signifying nontrivial features of the environment it is interacting with. This article further explores the various physical sources of non-Markovian quantum dynamics, such as structured environmental spectral densities, nonlocal correlations between environmental degrees of freedom and correlations in the initial system-environment state, in addition to developing schemes for their local detection. Recent experiments addressing the detection, quantification and control of non-Markovian quantum dynamics are also briefly discussed.

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Section: Control and Quantification Of Memory Effects In Photonic Sysmentioning

confidence: 99%

Colloquium: Non-Markovian dynamics in open quantum systems

et al. 2016

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“…Besides the fundamental point of view, this has been motivated by the potential utility of non-Markovian dynamics in different contexts such as quantum metrology and hypothesis testing [16][17][18][19], preservation of entanglement and coherence [20][21][22][23][24], and quantum information and computation [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Refined weak-coupling limit: Coherence, entanglement, and non-Markovianity

Rivas¹

2017

Phys. Rev. A

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We study the properties of a refined weak coupling limit that preserves complete positivity in order to describe non-Markovian dynamics in the spin-boson model. With this tool, we show the system presents a rich and new non-Markovian phenomenology. This implies a dynamical difference between entanglement and coherence: the latter undergoes revivals whereas the former not, despite the induced dynamics is fully incoherent. In addition, the evolution presents "quasi-eternal" nonMarkovianity, becoming non-divisible at any time period where the system evolves qualitatively. Furthermore, the method allows for an exact derivation of a master equation that accounts for a reversible energy exchange between system and environment. Specifically, this is obtained in the form of a time-dependent Lamb shift term.

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“…Simulation of open quantum systems in both Markovian and non-Markovian regimes is nowadays in the grasp of the experimentalists [32]- [35]. It is therefore important to identify the minimum requirements for implementing experiments measuring non-Markovianity.…”

Section: ) Experimental Implementabilitymentioning

confidence: 99%

Comparative study of non-Markovianity measures in exactly solvable one- and two-qubit models

et al. 2014

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In this paper we present a detailed critical study of several recently proposed non-Markovianity measures. We analyse their properties for single qubit and two-qubit systems in both pure-dephasing and dissipative scenarios. More specifically we investigate and compare their computability, their physical meaning, their Markovian to non-Markovian crossover, and their additivity properties with respect to the number of qubits. The bottom-up approach that we pursue is aimed at identifying similarities and differences in the behavior of non-Markovianity indicators in several paradigmatic open system models. This in turn allows us to infer the leading traits of the variegated phenomenon known as non-Markovian dynamics.

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Programmable entanglement oscillations in a non-Markovian channel

Cited by 35 publications

References 40 publications

Colloquium: Non-Markovian dynamics in open quantum systems

Colloquium: Non-Markovian dynamics in open quantum systems

Refined weak-coupling limit: Coherence, entanglement, and non-Markovianity

Comparative study of non-Markovianity measures in exactly solvable one- and two-qubit models

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