Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors

doi:10.1088/1674-1056/ac7206

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 14202-014202.doi: 10.1088/1674-1056/ac7206

Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors

Heng-Mei Li(李恒梅)^1,†, Bao-Hua Yang(杨保华)¹, Hong-Chun Yuan(袁洪春)², and Ye-Jun Xu(许业军)³

1 School of Information Engineering, Changzhou Vocational Institute of Mechatronic Technology, Changzhou 213164, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China;
3 School of Mechanical and Electronic Engineering, Chizhou University, Chizhou 247000, China

收稿日期:2022-03-22 修回日期:2022-05-04 接受日期:2022-05-23 出版日期:2022-12-08 发布日期:2022-12-20
通讯作者: Heng-Mei Li E-mail:lihengm@ustc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11704051), the Qinglan Project of the Jiangsu Education Department and the Research Foundation of Six Talents Peaks Project in Jiangsu Province, China (Grant No. XNY-093).

Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors

Heng-Mei Li(李恒梅)^1,†, Bao-Hua Yang(杨保华)¹, Hong-Chun Yuan(袁洪春)², and Ye-Jun Xu(许业军)³

1 School of Information Engineering, Changzhou Vocational Institute of Mechatronic Technology, Changzhou 213164, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China;
3 School of Mechanical and Electronic Engineering, Chizhou University, Chizhou 247000, China

Received:2022-03-22 Revised:2022-05-04 Accepted:2022-05-23 Online:2022-12-08 Published:2022-12-20
Contact: Heng-Mei Li E-mail:lihengm@ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11704051), the Qinglan Project of the Jiangsu Education Department and the Research Foundation of Six Talents Peaks Project in Jiangsu Province, China (Grant No. XNY-093).

摘要/Abstract

摘要： A scheme is proposed to investigate the non-classical states generated by a quantum scissors device (QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of the optomechanical system, the resulting state contains only the vacuum, single-photon and two-photon states depending upon the coupling parameter of the optomechanical system as well as the transmission coefficients of beam splitters (BSs). Especially, the output state is just a class of multicomponent cat state truncations at time t=2π by choosing the appropriate value of coupling parameter. We discuss the success probability of such a state and the fidelity between the output state and input state via QSD. Then the linear entropy is used to investigate the entanglement between the two subsystems, finding that QSD operation can enhance their entanglement degree. Furthermore, we also derive the analytical expression of the Wigner function (WF) for the cavity mode via QSD and numerically analyze the WF distribution in phase space at time t=2π. These results show that the high non-classicality of output state can always be achieved by modulating the coupling parameter of the optomechanical system as well as the transmittance of BSs.

关键词: optomechanical system, quantum scissors device, quantum state engineering, linear entropy

Abstract: A scheme is proposed to investigate the non-classical states generated by a quantum scissors device (QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of the optomechanical system, the resulting state contains only the vacuum, single-photon and two-photon states depending upon the coupling parameter of the optomechanical system as well as the transmission coefficients of beam splitters (BSs). Especially, the output state is just a class of multicomponent cat state truncations at time t=2π by choosing the appropriate value of coupling parameter. We discuss the success probability of such a state and the fidelity between the output state and input state via QSD. Then the linear entropy is used to investigate the entanglement between the two subsystems, finding that QSD operation can enhance their entanglement degree. Furthermore, we also derive the analytical expression of the Wigner function (WF) for the cavity mode via QSD and numerically analyze the WF distribution in phase space at time t=2π. These results show that the high non-classicality of output state can always be achieved by modulating the coupling parameter of the optomechanical system as well as the transmittance of BSs.

Key words: optomechanical system, quantum scissors device, quantum state engineering, linear entropy

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

42.50.Pq (Cavity quantum electrodynamics; micromasers) 03.65.Ta (Foundations of quantum mechanics; measurement theory)

Heng-Mei Li(李恒梅), Bao-Hua Yang(杨保华), Hong-Chun Yuan(袁洪春), and Ye-Jun Xu(许业军). Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors[J]. 中国物理B, 2023, 32(1): 14202-014202.

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Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors

Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors

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