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Quantum coherence versus nonclassical correlations in optomechanics

Y. Lahlou

http://orcid.org/0000-0001-5109-7314

LPHE-MS, Department of Physics, Faculty of Sciences, Mohammed V University, Rabat, Morocco

E-mail Address: youness_lahlou@um5.ac.ma

Corresponding author.

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M. Amazioug

Ecole Normale Supérieure, Mohammed V University, Rabat, Morocco

EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

E-mail Address: amazioug@gmail.com

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J. El Qars

EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

Faculty of Applied Sciences, Ibn Zohr University, Ait-Melloul, Morocco

E-mail Address: j.elqars@gmail.com

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N. Habiballah

EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

Faculty of Applied Sciences, Ibn Zohr University, Ait-Melloul, Morocco

Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 Trieste, Italy

E-mail Address: n.habiballah@uiz.ac.ma

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M. Daoud

Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 Trieste, Italy

Department of Physics, Faculty of Sciences, University Ibn Tofail, Kénitra, Morocco

E-mail Address: m_daoud@hotmail.com

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M. Nassik

EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

E-mail Address: m.nassik@uiz.ac.ma

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https://doi.org/10.1142/S0217979219503430Cited by:10 (Source: Crossref)

Abstract

Coherence arises from the superposition principle, where it plays a central role in quantum mechanics. In Phys. Rev. Lett.114, 210401 (2015), it has been shown that the freezing phenomenon of quantum correlations beyond entanglement is intimately related to the freezing of quantum coherence (QC). In this paper, we compare the behavior of entanglement and quantum discord with quantum coherence in two different subsystems (optical and mechanical). We use respectively the entanglement of formation (EoF) and the Gaussian quantum discord (GQD) to quantify entanglement and quantum discord. Under thermal noise and optomechanical coupling effects, we show that EoF, GQD and QC behave in the same way. Remarkably, when entanglement vanishes, GQD and QC remain almost unaffected by thermal noise, keeping nonzero values even for high-temperature, which is in concordance with Phys. Rev. Lett.114, 210401 (2015). Also, we find that the coherence associated with the optical subsystem is more robust — against thermal noise — than those of the mechanical subsystem. Our results confirm that optomechanical cavities constitute a powerful resource of QC.

Keywords:

PACS: 03.67.-a, 03.65.Ud, 03.65.-w, 42.50.-p

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