Squeezing entangled state of two particles with unequal masses

doi:10.1088/1674-1056/22/3/030306

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30306-030306.doi: 10.1088/1674-1056/22/3/030306

Squeezing entangled state of two particles with unequal masses

杨阳^a, 范洪义^b

a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

收稿日期:2012-08-15 修回日期:2012-08-29 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10975125).

Squeezing entangled state of two particles with unequal masses

Yang Yang (杨阳)^a, Fan Hong-Yi (范洪义)^b

a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Received:2012-08-15 Revised:2012-08-29 Online:2013-02-01 Published:2013-02-01
Contact: Yang Yang E-mail:yangyang@mail.ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10975125).

摘要/Abstract

摘要： For two unequal-mass particles, we construct the entangled state representation and then derive the corresponding squeezing operator. This squeezing operator has a natural realization in the entangled state representation, which exhibits the intrinsic relation between squeezing and quantum entanglement. This squeezing operator involves both two-mode squeezing and the direct product of two single-mode squeezings. The maximum squeezing occurs when the two particles possess equal mass. When two particles' mass difference becomes large, the component of the two single-mode squeezings becomes dominant.

关键词: squeezing operator, integration within an ordered product (IWOP) technique, entangled state representation

Abstract: For two unequal-mass particles, we construct the entangled state representation and then derive the corresponding squeezing operator. This squeezing operator has a natural realization in the entangled state representation, which exhibits the intrinsic relation between squeezing and quantum entanglement. This squeezing operator involves both two-mode squeezing and the direct product of two single-mode squeezings. The maximum squeezing occurs when the two particles possess equal mass. When two particles' mass difference becomes large, the component of the two single-mode squeezings becomes dominant.

Key words: squeezing operator, integration within an ordered product (IWOP) technique, entangled state representation

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

42.50.-p (Quantum optics)

杨阳, 范洪义. Squeezing entangled state of two particles with unequal masses[J]. 中国物理B, 2013, 22(3): 30306-030306.

Yang Yang (杨阳), Fan Hong-Yi (范洪义). Squeezing entangled state of two particles with unequal masses[J]. Chin. Phys. B, 2013, 22(3): 30306-030306.

参考文献 15

[1]	Bennett C H and Sicincenzo D P 2000 Nature 404 247
[2]	Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1983 Phys. Rev. Lett. 70 1895
[3]	Bennett C H and Wiesener S J 1992 Phys. Rev. Lett. 69 2881
[4]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[5]	Clauser J F, Horne M A, Shimony A and Holt R A 1969 Phys. Rev. Lett. 49 1804
[6]	Bell J S 1964 Physics 1 195
[7]	Xu G F and Tong D M 2012 Chin. Phys. Lett. 29 070302
[8]	Duan Y F, Yu L and Li G X 2012 Chin. Phys. B 21 090302
[9]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[10]	Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[11]	Fan H Y and Fan Y 1996 Phys. Rev. A 54 958
[12]	Fan H Y and Ye X 1995 Phys. Rev. A 51 3343
[13]	Fan H Y and Hu L Y 2008 Chin. Phys. B 17 1640
[14]	Fan H Y and Hu L Y 2008 Chin. Phys. Lett. 25 513
[15]	Fan H Y 2010 Chin. Phys. B 19 050303

Squeezing entangled state of two particles with unequal masses

Squeezing entangled state of two particles with unequal masses

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