Quantum statistical properties of photon-added spin coherent states

doi:10.1088/1674-1056/26/11/114202

中国物理B ›› 2017, Vol. 26 ›› Issue (11): 114202-114202.doi: 10.1088/1674-1056/26/11/114202

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Quantum statistical properties of photon-added spin coherent states

G Honarasa

Department of Physics, Shiraz University of Technology, Shiraz 71555-313, Iran

收稿日期:2017-04-19 修回日期:2017-06-13 出版日期:2017-11-05 发布日期:2017-11-05

Quantum statistical properties of photon-added spin coherent states

G Honarasa

Department of Physics, Shiraz University of Technology, Shiraz 71555-313, Iran

Received:2017-04-19 Revised:2017-06-13 Online:2017-11-05 Published:2017-11-05
Contact: G Honarasa E-mail:honarasa@sutech.ac.ir

摘要/Abstract

摘要： The photon-added spin coherent state as a new kind of coherent state has been defined by iterated actions of the proper raising operator on the ordinary spin coherent state. In this paper, the quantum statistical properties of photon-added spin coherent states such as photon number distribution, second-order correlation function and Wigner function are studied. It is found that the Wigner function shows the negativity in some regions and the second-order correlation function is less than unity. Therefore, the photon-added spin coherent state is a nonclassical state.

关键词: photon-added spin coherent states, photon number distribution, Wigner function

Abstract: The photon-added spin coherent state as a new kind of coherent state has been defined by iterated actions of the proper raising operator on the ordinary spin coherent state. In this paper, the quantum statistical properties of photon-added spin coherent states such as photon number distribution, second-order correlation function and Wigner function are studied. It is found that the Wigner function shows the negativity in some regions and the second-order correlation function is less than unity. Therefore, the photon-added spin coherent state is a nonclassical state.

Key words: photon-added spin coherent states, photon number distribution, Wigner function

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

42.50.Dv

03.65.-w (Quantum mechanics)

G Honarasa. Quantum statistical properties of photon-added spin coherent states[J]. 中国物理B, 2017, 26(11): 114202-114202.

G Honarasa. Quantum statistical properties of photon-added spin coherent states[J]. Chin. Phys. B, 2017, 26(11): 114202-114202.

参考文献 25

[1]	Weyl H 1928 Gruppentheorie und Quantenmechanik(Leipzig:Hirzel)
[2]	Perelomov A M 1972 Commun. Math. Phys. 26 222
[3]	Radcliffe J M 1971 J. Phys. A 4 313
[4]	Yen L L and Monica K 2015 Am. J. Phys. 83 30
[5]	Stone M and Park K S 2000 J. Math. Phys. 41 8025
[6]	Aravind P K 1999 Am. J. Phys. 67 899
[7]	Pletyukhov M, Amann Ch, Mehta M and Brack M 2002 Phys. Rev. Lett. 89 116601
[8]	Novaes M 2005 Phys. Rev. A 72 042102
[9]	Wang X 2001 J. Opt. B:Quantum Semiclass. Opt. 3 93
[10]	Yang D, Wang X G and Wu L A 2005 Chin. Phys. Lett. 22 521
[11]	Chen X, Zhang Z W, Zhao H, Wang N R, Yang R F and Feng K M 2016 Chin. Phys. Lett. 33 104203
[12]	Agarwal G S and Tara K 1991 Phys. Rev. A 43 492
[13]	Zavatta A, Viciani S and Bellini M 2004 Science 306 660
[14]	Sivakumar S 1999 J. Phys. A:Math. Gen. 32 3441
[15]	Yuan H C, Xu X X and Fan H Y 2010 Chin. Phys. B 19 104205
[16]	Popov D 2002 J. Phys. A:Math. Gen. 35 7205
[17]	Berrada K 2015 J. Math. Phys. 56 072104
[18]	Zeng K and Fang M F 2014 Chin. Phys. Lett. 31 114203
[19]	Yang Z B and Wu H Z 2014 Chin. Phys. Lett. 31 024206
[20]	Li H M, Xu X X, Yuan H C and Wang Z 2016 Chin. Phys. B 25 104203
[21]	Pakniat R, Tavassoly M K and Zandi M H 2016 Chin. Phys. B 25 100303
[22]	Zhang C Y, Li H, Pan G X and Sheng Z Q 2016 Chin. Phys. B 25 074202
[23]	Scully M O and Zubairy M S 2001 Quantum Optics(Cambridge:Cambridge University Press)
[24]	Hillary M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
[25]	Fan H Y and Zaidi H R 1987 Phys. Lett. A 124 303

Quantum statistical properties of photon-added spin coherent states

Quantum statistical properties of photon-added spin coherent states

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 25

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Faustin Blaise Migueu, Mercel Vubangsi, Martin Tchoffo, and Lukong Cornelius Fai. Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential[J]. 中国物理B, 2021, 30(6): 60309-060309.
[2]	武少雄, 于长水. Margolus-Levitin speed limit across quantum to classical regimes based on trace distance[J]. 中国物理B, 2020, 29(5): 50302-050302.
[3]	毕海云, 齐国元, 胡建兵, 吴启亮. Quantum-classical correspondence and mechanical analysis ofa classical-quantum chaotic system[J]. 中国物理B, 2020, 29(2): 20502-020502.
[4]	吕恒云, 王继锁, 张晓燕, 吴孟艳, 梁宝龙, 孟祥国. Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay[J]. 中国物理B, 2019, 28(9): 90302-090302.
[5]	刘春丽, 郭丽丽, 张智明, 於亚飞. Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer[J]. 中国物理B, 2019, 28(6): 60704-060704.
[6]	杜传勋, 孟祥国, 张冉, 王继锁. Analytical and numerical investigations of displaced thermal state evolutions in a laser process[J]. 中国物理B, 2017, 26(12): 120301-120301.
[7]	李恒梅, 徐学翔, 袁洪春, 王震. Quantum metrology with two-mode squeezed thermal state: Parity detection and phase sensitivity[J]. 中国物理B, 2016, 25(10): 104203-104203.
[8]	N Asili Firouzabadi, M K Tavassoly, M J Faghihi. Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach[J]. 中国物理B, 2015, 24(6): 64204-064204.
[9]	徐学翔, 袁洪春, 王燕. Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties[J]. , 2014, 23(7): 70301-070301.
[10]	孟祥国, 王继锁, 梁宝龙. New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function[J]. Chin. Phys. B, 2013, 22(3): 30307-030307.
[11]	徐莉娟, 谭国斌, 马善钧, 郭琴. Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state[J]. 中国物理B, 2013, 22(3): 30311-030311.
[12]	周军, 范洪义, 宋军. A new type of photon-added squeezed coherent state and its statistical properties[J]. 中国物理B, 2012, 21(7): 70301-070301.
[13]	G. R. Honarasa, M. K. Tavassoly, M. Hatami. Quantum phase distribution and the number–phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems[J]. 中国物理B, 2012, 21(5): 54208-054208.
[14]	徐学翔, 袁洪春, 范洪义. Decoherence of photon-subtracted squeezed vacuum state in dissipative channel[J]. 中国物理B, 2011, 20(2): 24203-024203.
[15]	司坤, 姬晓辉, 贾焕玉. Nonclassicality of photon-added squeezed vacuum states[J]. 中国物理B, 2010, 19(6): 64205-064205.