Generation of Quantum Correlations in Bipartite Gaussian Open Quantum Systems

Исар, Аурелиан

doi:10.1051/epjconf/201817301006

Cited by 3 publications

(2 citation statements)

References 38 publications

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“…It is worth noting that these results are in accordance with the ones described by Sandulescu et al [ 36 ] and Isar [ 37 , 38 ], where those results were obtained by solving the Gorini–Kossakowski–Sudarshan–Lindblad master equation [ 28 , 29 , 30 ] for two coupled oscillators. The main difference here is that our results were obtained exactly from the von Neumann equation without introducing a master equation.…”

Section: Nonunitary Evolution For Gaussian Subsystemssupporting

confidence: 91%

Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States

López-Saldívar

Man’ko

2020

Entropy

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In the differential approach elaborated, we study the evolution of the parameters of Gaussian, mixed, continuous variable density matrices, whose dynamics are given by Hermitian Hamiltonians expressed as quadratic forms of the position and momentum operators or quadrature components. Specifically, we obtain in generic form the differential equations for the covariance matrix, the mean values, and the density matrix parameters of a multipartite Gaussian state, unitarily evolving according to a Hamiltonian H ^ . We also present the corresponding differential equations, which describe the nonunitary evolution of the subsystems. The resulting nonlinear equations are used to solve the dynamics of the system instead of the Schrödinger equation. The formalism elaborated allows us to define new specific invariant and quasi-invariant states, as well as states with invariant covariance matrices, i.e., states were only the mean values evolve according to the classical Hamilton equations. By using density matrices in the position and in the tomographic-probability representations, we study examples of these properties. As examples, we present novel invariant states for the two-mode frequency converter and quasi-invariant states for the bipartite parametric amplifier.

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Section: Nonunitary Evolution For Gaussian Subsystemssupporting

confidence: 91%

Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States

López-Saldívar

Man’ko

2020

Entropy

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“…In recent years, various strategies for the generation of quantum correlations in quantum systems have been introduced [37]. We find that magnetic fields comprise features that are helpful to induce quantum correlations, for example, the associated DM and KSEA interactions [38,39].…”

Section: Introductionmentioning

confidence: 91%

Dynamics of quantum-memory assisted entropic uncertainty of a two-spin Heisenberg XXX model under the intrinsic decoherence effect

Mohamed¹,

Rahman²,

Aldosari³

et al. 2023

Phys. Scr.

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In this study, the quantum-memory assisted entropic uncertainty (QM-EU) and entanglement dynamics of the two-qubit Heisenberg XXX chain have been explored in the presence of intrinsic decoherence. The effect of the x-component of Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions has been considered. The generation and preservation of quantum memory and entanglement have been examined for various values of the DM, KSEA, spin-spin, and spin coupling strengths. The uncertainty negatively affects the entanglement and both have anti-correlation. The absence and presence of intrinsic decoherence prevail in differing impacts on the dynamics of the system. In the first case, prolonged entanglement preservation, uncertainty suppression, and oscillatory dynamics have been observed. Moreover, in order to achieve the best-prolonged entanglement preservation and relative reduction of the entropic uncertainty, we have analyzed several parameter settings. We find that the effects of raising the DM, KSEA, and spin-spin interaction individually and simultaneously are different. The individual and simultaneous increase of the DM, KSEA, and spin-spin interaction parameters control the degree of entanglement, entropic uncertainty, and primarily the dynamics of the system.

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Effect of Non-Commutative Space on Quantum Correlations in Two Bilinearly Coupled Harmonic Oscillators Interacting with its Environment

et al. 2022

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Generation of Quantum Correlations in Bipartite Gaussian Open Quantum Systems

Cited by 3 publications

References 38 publications

Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States

Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States

Dynamics of quantum-memory assisted entropic uncertainty of a two-spin Heisenberg XXX model under the intrinsic decoherence effect

Effect of Non-Commutative Space on Quantum Correlations in Two Bilinearly Coupled Harmonic Oscillators Interacting with its Environment

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