对相干态在通过参量转换中的演化与量子化光涡态的实现

朱开成; 李绍新; 郑小娟; 唐慧琴

doi:10.7498/aps.61.194206

摘要

本文讨论了光学参量频率转换过程中对相干态的演化问题, 获得了对相干态时间演化的解析表达式及在位形空间的波函数, 发现通过适当调节系统元件及相互作用时间, 对相干态在位形空间中的波包能呈现出量子涡态特性, 并且与这样涡态相关的波函数具有修正Bessel-Gaussian形式的结构, 即非高斯型波函数. 在相干态表象下, 这一量子化涡态是两模湮没算符平方和的本征态. 这一讨论揭示了产生量子化涡态的另一可实现方案.

关键词:

Abstract

The pair coherent state evolution during a parametric frequency conversion is analyzed. And the wavefunction of the evolving pair coherent state in configuration space is obtained. It is found that the state may become a modified Bessel-Gaussian vortex state with topological charge index q which is a new non-Gaussian state. In coherent state representation such a modified Bessel-Gaussian vortex state is an eigenstate of sum of squared two-mode annihilation operators a2 + b2. The result obtained in this paper provides a new scheme for generating quantized vortex states in experiment with currently available technology.

Keywords:

作者及机构信息

1.
中南大学物理与电子学院, 长沙 410083;

2.
广东医学院物理教研室, 东莞 523808

Authors and contacts

1.
School of Physical Science and Technology, Central South University, Changsha 410083, China;

2.
Physical Staff Room, Guangdong Medical College, Dongguan 523808, China

参考文献

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施引文献

[1]	Braunstein S L, Pati A K 2003 Quantum Information with Continuous Variables (Kluwer Academic, Dordrecht)
[2]	Braunstein S L, von Loock P 2005 Rev. Mod. Phys. 77 513
[3]	Bhaumik D, Bhaumik K, Dutta-Roy B 1976 J. Phys. A: Math. Gen. 9 1507
[4]	Agarwal G S 1986 Phys. Rev. Lett. 57 827
[5]	Agarwal G S 1988 J. Opt. Soc. Am. B 5 1940
[6]	Prakash G S, Agarwal G S 1995 Phys. Rev. A 52 2335
[7]	Gou S C, Steinbach J, Knight P L 1996 Phys. Rev. A 54 R1014
[8]	Gilchrist A, Munro W J 2000 J. Opt. B: Quantum Semiclass. Opt. 2 47
[9]	Meng X G, Wang J S, Fan H Y 2007 Phys. Lett. A 363 12
[10]	Gabris A, Agarwal G S 2007 Int. J. Quant. Inf. 5 17
[11]	Meng X G Wang J S 2007 Acta Phys. Sin. 56 4578 ( in Chinese) [孟祥国, 王继锁 2007 56 4578]
[12]	Meng X G, Wang J S, Liang B L, Li H Q 2008 Chin. Phys. B 17 1791
[13]	Gerry C C, Mimih J 2010 Phys. Rev. A 82 013831
[14]	Chen Z H Liao C G Luo C L 2010 Acta Phys. Sin. 59 6152(in Chinese)[陈子翃, 廖长庚, 罗成立 2010 59 6152]
[15]	Gerry C C, Mimih J, Birrittella R 2011 Phys. Rev. A 84 023810
[16]	Agarwal G S, Puri R R, Singh R P 1997 Phys. Rev. A 56 4207
[17]	Agarwal G S, Banerji J 2006 J. Phys. A 39 11503
[18]	Bandyopadhyay A, Singh R P 2011 Opt. Commun. 284 256
[19]	Bandyopadhyay A, Prabhakar S, Singh R P 2011 Phys. Lett. A 375 1926
[20]	Agarwal G S, Biswas A 2005 New J. of Phys. 7 211
[21]	Agarwal G S 2011 New J. of Phys. 13 073008
[22]	Molina-Terriza G, Torres J P, Torner L 2001 Phys. Rev. Lett. 88 013601
[23]	Leach J, Padgett M J, Barnett S M, Franke-Arnold S, Courtial J 2002 Phys. Rev. Lett. 88 257901
[24]	Allen L, Barnett S M, Padgett M J 2003 Optical Angular Momentum (Institute of Physics, Bristol)
[25]	Eisert J, Scheel S, Plenio M B 2002 Phys. Rev. Lett. 89 137903
[26]	Fiurasek J 2002 Phys. Rev. Lett. 89 137904
[27]	Giedke G, Cirac J I 2002 Phys. Rev. A 66 032316
[28]	Louisell W H, Yariv A, Semjonov A E 1961 Phys. Rev. 124 1646
[29]	Tucker J, Walls D F 1969 Ann. Phys. NY 52 1
[30]	Perina J 1987 Quantum Statistics of Linear and Nolinear Optical Phenomena (D. Reidel, Dordrecht-Boston) p217
[31]	Dodonov A V, Dodonov V V, Mizrahi S S 2005 J. Phys. A: Math. Gen. 38 683
[32]	Korenev B G 2002 Bessel functions and their applications (Taylor & Francis) p23

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