Entanglement dynamics of many-body systems: Analytical results

Paula, A. L. de; Oliveira, João Fernando Gomes de; Faria, J. G. Peixoto de; Freitas, Dagoberto S.; Nemes, M. C.

doi:10.1103/physreva.89.022303

Cited by 13 publications

(11 citation statements)

References 16 publications

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“…(6) and (9). In addition, as a corollary of result 1, it follows that for tripartite pure states the equality holds in (10).…”

Section: Resultsmentioning

confidence: 65%

“…On the experimental side, an all-optical experiment has been reported, which allows one to control the information flow between the system and the environment and to determine the degree of non-Markovianity of the process by measurements on the open system [7]. More recently, the flow of quantum correlations in pure states was investigated in tripartite [8] and multipartite [9] systems. By use of the Coffman-Kundu-Wootters (CKW) formula [10] for the squared concurrence, these works have shown that genuine tripartite entanglement can appear as the coherence initially stored in a given subsystem degrades due to a zero-temperature environment.…”

Section: Introductionmentioning

confidence: 99%

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Monogamy and backflow of mutual information in non-Markovian thermal baths

2014

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We investigate the dynamics of information among the parties of tripartite systems. We start by proving two results concerning the monogamy of mutual information. The first one states that mutual information is monogamous for generic tripartite pure states. The second shows that, in general, mutual information is monogamous only if the amount of genuine tripartite correlations is large enough. Then, we analyze the internal dynamics of tripartite systems whose parties do not exchange energy. In particular, we allow for one of the subsystems to play the role of a finite thermal bath. As a result, we find a typical scenario in which local information tends to be converted into delocalized information. Moreover, we show that (i) the information flow is reversible for finite thermal baths at low temperatures, (ii) monogamy of mutual information is respected throughout the dynamics, and (iii) genuine tripartite correlations are typically present. Finally, we analytically calculate a quantity capable of revealing favorable regimes for non-Markovianity in our model.

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“…(6) and (9). In addition, as a corollary of result 1, it follows that for tripartite pure states the equality holds in (10).…”

Section: Resultsmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Monogamy and backflow of mutual information in non-Markovian thermal baths

2014

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“…We shall set from now on = 1. Such model can be used to describe dissipation in optical cavities [34], the dynamical properties of multipartite entanglement [35] and principles of quantum thermodynamics [36]. Here we show that it also offers a good benchmark to study quantum Darwinism and its connection with Markovianity.…”

Section: The Modelmentioning

confidence: 77%

“…VI that, for an initial global state G(a|α 0 +b|−α 0 )⊗ k |0 k , the mapping between the initial system state and the state of environment fragment F at instant t satisfies Eq. (35), which we reproduce here for convenience:…”

Section: Discussionmentioning

confidence: 99%

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Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators

2019

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To explain aspects of the quantum-to-classical transition, quantum Darwinism explores the fact that, due to interactions between a quantum open system and its surrounding environment, information about the system can be spread redundantly to the environment. Here we recall that there are in the literature two distinct and non-equivalent ways to make this statement precise and quantitative. We first point out the difference with some simple but illustrative examples. We then consider a model where Darwinism can be seen from both perspectives. Moreover, the non-Markovianity of our model can be varied with a parameter. In a recent work [F. Galve et al., Sci. Reps. 6, 19607 (2016)], the authors concluded that quantum Darwinism can be hindered by non-Markovianity. We depart from their analysis and argue that, from both perspectives to quantum Darwinism, there is no clear relationship between non-Markovianity and quantum Darwinism in our model. FIG. 1: Three qualitatively distinct possibilities for a partial information plot (PIP). The solid line (a) corresponds to a case where a small fraction of the environment already has average mutual information close to H(S), being the signature of quantum Darwinism. The linear profile (b) can be seen (approximately) in our model for small interaction times (see Sec. V). In profile (c), f δ is close to 0.5, so the redundancy is very small. This kind of profile can be obtained from random pure states drawn according to the Haar measure [13].

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Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field

Baghshahi

Tavassoly

Akhtarshenas

2015

Quantum Inf Process

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The interaction of two identical three-level atoms of the types V , Ξ and Λ with a quantized cavity field as well as a driving external classical field is studied. Under two certain unitary transformations, the system is converted to a typical form of the Jaynes-Cummings model for two three-level atoms. The exact analytical solutions of the wave function for different considered atom-field systems are exactly obtained with the help of the Laplace transform technique, when the atoms are initially prepared in the topmost excited state and the quantized field is in a coherent state. In order to examine the nonclassicality features of the deduced states, the dynamics of the entanglement between subsystems is discussed via two well-known measures, namely, von Neumann entropy of the reduced state and negativity. In addition, we pay attention to the temporal behaviour of quantum statistics of the photons of the field and squeezing phenomenon. Meanwhile, the influence of the external classical field on the latter physical quantities is analyzed in detail. The results show that the mentioned quantities can be sensitively controlled via the external classical field. Also, numerical computations imply the fact that the nonclassicality features in Ξ-type threelevel atomic system is more visible than the other two configurations. In addition, it is shown that in the particular case of Λ-type atomic system, the rank of the reduced density matrix of the three-level atoms is no larger than three, so that negativity fully captures the entanglement of this system and that such entanglement is distillable.

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Entanglement dynamics of many-body systems: Analytical results

Cited by 13 publications

References 16 publications

Monogamy and backflow of mutual information in non-Markovian thermal baths

Monogamy and backflow of mutual information in non-Markovian thermal baths

Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators

Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field

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