Sudden change in quantum and classical correlations and the Unruh effect

Céleri, Lucas C.; Landulfo, André G. S.; Serra, R. M.; Matsas, George E. A.

doi:10.1103/physreva.81.062130

Cited by 70 publications

(88 citation statements)

References 57 publications

(94 reference statements)

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“…The same is true for MID which stays very close to the maximal value of M = 1. (Céleri et al, 2010) consider the case of entangled detectors coupled to a scalar field which acts as a thermal bath. To achieve a more realistic scenario, the detector is switched on for a finite time.…”

Section: Klein-gordon Fieldsmentioning

confidence: 99%

The classical-quantum boundary for correlations: Discord and related measures

et al. 2012

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One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classical parts of correlations are amongst the more actively-studied topics of quantum information theory over the past decade. Entanglement is the most prominent of these correlations, but in many cases unentangled states exhibit nonclassical behavior too. Thus distinguishing quantum correlations other than entanglement provides a better division between the quantum and classical worlds, especially when considering mixed states. Here we review different notions of classical and quantum correlations quantified by quantum discord and other related measures. In the first half, we review the mathematical properties of the measures of quantum correlations, relate them to each other, and discuss the classical-quantum division that is common among them. In the second half, we show that the measures identify and quantify the deviation from classicality in various quantuminformation-processing tasks, quantum thermodynamics, open-system dynamics, and many-body physics. We show that in many cases quantum correlations indicate an advantage of quantum methods over classical ones.

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Section: Klein-gordon Fieldsmentioning

confidence: 99%

The classical-quantum boundary for correlations: Discord and related measures

et al. 2012

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“…Moreover, there exist intimations that the QD is the resource responsible for the speed up in deterministic quantum computation with one quantum bit [11,12]. Entanglement and QD have been studied extensively in a number of contexts, e.g., low dimensional spin models [13][14][15][16][17][18][19], open quantum systems [20][21][22][23][24], biological [25], and relativistic [26,27] systems. Recently, pairwise QD and entanglement have been analyzed as a function of distance between spins in the transverse field XY chain for both zero and finite temperatures cases [18,[28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Magnetic quantum correlations in the one-dimensional transverse-field XXZ model

Mahdavifar¹,

Jafari²

2017

Phys. Rev. A

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One-dimensional spin-1/2 systems are well-known candidates to study the quantum correlations between particles. In the condensed matter physics, studies often are restricted to the 1st neighbor particles. In this work, we consider the 1D XXZ model in a transverse magnetic field (TF) which is not integrable except at specific points. Analytical expressions for quantum correlations (entanglement and quantum discord) between spin pairs at any distance are obtained for both zero and finite temperature, using an analytical approach proposed by Caux et al. [PRB 68, 134431 (2003)]. We compare the efficiency of the QD with respect to the entanglement in the detection of critical points (CPs) as the neighboring spin pairs go farther than the next nearest neighbors. In the absence of the TF and at zero temperature, we show that the QD for spin pairs farther than the 2nd neighbors is able to capture the critical points while the pairwise entanglement is absent. In contrast to the pairwise entanglement, two-site quantum discord is effectively long-range in the critical regimes where it decays algebraically with the distance between pairs. We also show that the thermal quantum discord between neighbor spins possesses strong distinctive behavior at the critical point that can be seen at finite temperature and, therefore, spotlights the critical point while the entanglement fails in this task.

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“…It is found that the QD and entanglement show very different dynamical behaviors and the QD is more robust to decoherence. Recently, an interesting dynamical behavior of correlations, named sudden transition, has been observed [23,24]. It shows that under certain initial states the correlation undergoes sudden change between a "classical decoherence" phase and a "quantum decoherence" phase [22,23].…”

mentioning

confidence: 99%

“…Motivated by these considerations, we here study the correlation dynamics for various bi-partitions of a composite system consisting of two qubits A and B, and two local environments E A and E B . In contrast to previous investigations [20][21][22][23][24][25][26], we here assume that E A and E B are non-identical. We find that, contrary to what is usually stated in the literatures [26,30], the transfer direction of either the entanglement or other quantum correlations can be controlled by combining different noisy environments.…”

mentioning

confidence: 99%

Controlling transfer of quantum correlations among bi-partitions of a composite quantum system by combining different noisy environments

张修兴¹,

李福利²

2011

Chinese Phys. B

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The correlation dynamics is investigated for various bi-partitions of a composite system consisting of two qubits, and two independent and non-identical noisy environments. The two qubits have no direct interaction with each other and locally interact with their environments. Classical and quantum correlations including entanglement are initially prepared only between the two qubits. We find that, contrary to the identical noisy environment case, the entanglement and quantum correlation transfer directions can be controlled by combining different noisy environments. The amplitude damping environment determines whether there exists entanglement transfer among the bi-partitions of a composite system. When one qubit is coupled to an amplitude damping environment but another one to a bit-flip one, we find a very interesting result that all the quantum and classical correlations, and even the entanglement, originally existing between the qubits, can be completely transferred without any loss to the qubit coupled to the bit-flip environment and the amplitude-damping environment. We also notice that it is possible to distinguish the quantum correlation from the classical correlation and entanglement by combining different noisy environments.

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Sudden change in quantum and classical correlations and the Unruh effect

Cited by 70 publications

References 57 publications

The classical-quantum boundary for correlations: Discord and related measures

The classical-quantum boundary for correlations: Discord and related measures

Magnetic quantum correlations in the one-dimensional transverse-field XXZ model

Controlling transfer of quantum correlations among bi-partitions of a composite quantum system by combining different noisy environments

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