Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

doi:10.1088/1674-1056/ab65b6

中国物理B ›› 2020, Vol. 29 ›› Issue (2): 20304-020304.doi: 10.1088/1674-1056/ab65b6

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

Mohamed Amazioug, Larbi Jebli, Mostafa Nassik, Nabil Habiballah

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

收稿日期:2019-10-05 修回日期:2019-12-15 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: Mohamed Amazioug E-mail:amazioug@gmail.com

Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

Mohamed Amazioug^1,2, Larbi Jebli³, Mostafa Nassik³, Nabil Habiballah^3,4,5

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

Received:2019-10-05 Revised:2019-12-15 Online:2020-02-05 Published:2020-02-05
Contact: Mohamed Amazioug E-mail:amazioug@gmail.com

摘要/Abstract

摘要： 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.

关键词: cavity optomechanics, quantum correlations, Gaussian intrinsic entanglement, purity, Gaussian Hellinger discord, Gaussian geometric discord

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.

Key words: cavity optomechanics, quantum correlations, Gaussian intrinsic entanglement, purity, Gaussian Hellinger discord, Gaussian geometric discord

中图分类号: (Quantum mechanics)

03.65.-w

42.50.-p (Quantum optics) 42.50.Ex (Optical implementations of quantum information processing and transfer)

Mohamed Amazioug, Larbi Jebli, Mostafa Nassik, Nabil Habiballah. Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system[J]. 中国物理B, 2020, 29(2): 20304-020304.

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Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

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