Gaussian Intrinsic Entanglement and More General Quantum Correlations of Two Mechanical Oscillators

Lahlou, Yassine Ben; Maroufi, B.; Qars, Jamal El; Daoud, Mohammed

doi:10.1007/s10946-020-09913-6

Cited by 5 publications

(3 citation statements)

References 53 publications

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“…Hence, this linear differential system can be resolved through the application of Fourier transformation, following the lines presented in Ref. [54].…”

Section: Linearization Of Quantum Langevin Equationsmentioning

confidence: 99%

“…in this context, (ϒ m ) 4×4 corresponds to the covariance matrix of the two mechanical resonator modes, (ϒ o ) 4×4 represents the covariance matrix of the two optical modes, and (ϒ mo ) 4×4 stands for the covariance matrix characterizing the interaction between the mechanical resonator mode and the optical mode cavity. [54,59] These matrices serve as essential tools for addressing the primary objective of this study, which is the examination of quantum entanglement and quantum correlations that extend beyond entanglement, originating exclusively between the two mechanical resonator modes. Consequently, our attention is directed toward the first block covariance matrix, describing the dynamics of the two vibrating mode, and is expressed as…”

Section: Covariance Matrixmentioning

confidence: 99%

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Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Lahlou,

Maroufi,

Daoud

2024

Chinese Phys. B

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Quantum correlations that surpass entanglement are of great importance in the realms of quantum information processing and quantum computation. Essentially, for quantum systems prepared in pure states, it is difficult to differentiate between quantum entanglement and quantum correlation. Nonetheless, this indistinguishability is no longer holds for mixed states. To contribute to a better understanding of this differentiation, we have explored a simple model for both generating and measuring these quantum correlations. Our study concerns two macroscopic mechanical resonators placed in separate Fabry-Perot cavities, coupled through the photon hopping process. this system offers a comprehensively way to investigate and quantify quantum correlations beyond entanglement between these mechanical modes. The key ingredient in analyzing quantum correlation in this system is the global covariance matrix. It forms the basis for computing two essential metrics: the Logarithmic Negativity ($E_\mathcal{N}^m$) and the Gaussian Interferometric Power ($\mathcal{P}_{\mathcal{G}}^{m}$). These metrics provide the tools to measure the degree of quantum entanglement and quantum correlations, respectively. Our study reveals, that the Gaussian Interferometric Power ($\mathcal{P}_{\mathcal{G}}^{m}$) proves to be a more suitable metric for characterizing quantum correlations among the mechanical modes in an optomechanical quantum system, particularly in scenarios featuring resilient photon hopping.

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“…Hence, this linear differential system can be resolved through the application of Fourier transformation, following the lines presented in Ref. [54].…”

Section: Linearization Of Quantum Langevin Equationsmentioning

confidence: 99%

Section: Covariance Matrixmentioning

confidence: 99%

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Lahlou,

Maroufi,

Daoud

2024

Chinese Phys. B

Self Cite

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“…In addition, quantum entanglement has been used to improve the detection in Gaussian quantum metrology [29,30] and quantum measurement strategy [31]. Recently, quantum entanglement, in CV specifically in Gaussian states, has been proved as a valuable tool for improving optical resolution [32,33], spectroscopy [34], interferometry [35], tomography [36], and discrimination of quantum operations [37].…”

Section: Introductionmentioning

confidence: 99%

Quantifying quantum correlations in noisy Gaussian channels

Lahlou¹,

Baqmou²,

Maroufi³

et al. 2022

Preprint

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The Gaussian states are essential ingredients in many tasks of quantum information processing.The presence of the noises imposes limitations on achieving these quantum protocols. Therefore, examining the evolution of quantum entanglement and quantum correlations under the coherence of Gaussian states in noisy channels is of paramount importance. In this paper, we propose and analyze a scheme that aims to specify and examine the dynamic evolution of the quantum correlations in twomodes Gaussian states submitted to the influence of the Gaussian thermal environment. We describe

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