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Chin. Phys. B, 2020, Vol. 29(2): 020304    DOI: 10.1088/1674-1056/ab65b6
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Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

Mohamed Amazioug1,2, Larbi Jebli3, Mostafa Nassik3, Nabil Habiballah3,4,5
1 Department of Physics, Ecole Normale Supérieure(ENS), Mohammed V University in Rabat, Morocco;
2 LPHE-MS, Department of Physics, Faculty of Sciences, Mohammed V University, Rabat, Morocco;
3 EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco;
4 Faculty of Applied Sciences, Ibn Zohr University, Ait-Melloul, Morocco;
5 Abdus Salam International Center for Theoretical Physics, Strada Costiera, 11, 34151, Trieste, Italy
Abstract  We investigate the generation of quantum correlations between mechanical modes and optical modes in an optomechanical system, using the rotating wave approximation. The system is composed of two Fabry-Pérot cavities separated in space; each of the two cavities has a movable end-mirror. Our aim is the evaluation of entanglement between mechanical modes and optical modes, generated by correlations transfer from the squeezed light to the system, using Gaussian intrinsic entanglement as a witness of entanglement in continuous variables Gaussian states, and the quantification of the degree of mixedness of the Gaussian states using the purity. Then, we quantify nonclassical correlations between mechanical modes and optical modes even beyond entanglement by considering Gaussian geometric discord via the Hellinger distance. Indeed, entanglement, mixdness, and quantum discord are analyzed as a function of the parameters characterizing the system (thermal bath temperature, squeezing parameter, and optomechanical cooperativity). We find that, under thermal effect, when entanglement vanishes, purity and quantum discord remain nonzero. Remarkably, the Gaussian Hellinger discord is more robust than entanglement. The effects of the other parameters are discussed in detail.
Keywords:  cavity optomechanics      quantum correlations      Gaussian intrinsic entanglement      purity      Gaussian Hellinger discord      Gaussian geometric discord  
Received:  05 October 2019      Revised:  15 December 2019      Published:  05 February 2020
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
  42.50.Ex (Optical implementations of quantum information processing and transfer)  
Corresponding Authors:  Mohamed Amazioug     E-mail:

Cite this article: 

Mohamed Amazioug, Larbi Jebli, Mostafa Nassik, Nabil Habiballah Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system 2020 Chin. Phys. B 29 020304

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