Characterization of Photon Statistical Properties with Normalized Mandel Parameter
ZHANG Xin-Zheng, WANG Zhen-Hua, LI Hui, WU Qiang, TANG Bai-Quan, GAO Feng, XU Jing-Jun
The Key Laboratory of Weak-Light Nonlinear Photonics (Ministry of Education), TEDA Applied Physics School, and Institute of Physics, Nankai University, Tianjin 300457
Characterization of Photon Statistical Properties with Normalized Mandel Parameter
ZHANG Xin-Zheng, WANG Zhen-Hua, LI Hui, WU Qiang, TANG Bai-Quan, GAO Feng, XU Jing-Jun
The Key Laboratory of Weak-Light Nonlinear Photonics (Ministry of Education), TEDA Applied Physics School, and Institute of Physics, Nankai University, Tianjin 300457
Normalized Mandel Parameter <Q> is introduced as a new measurement of photon statistics. Dependences of Mandel parameter Q and corresponding normalized Mandel parameter <Q> on photon-counting time interval are experimentally investigated for pseudo-thermal light. We demonstrate that <Q> is more appropriate than Q to measure the statistical deviation from Poisson distribution, because <Q> presents clearly both the intrinsic statistical properties and measuring effects. The advantages of <Q> in charactering nonclassical emissions are also discussed.
Normalized Mandel Parameter <Q> is introduced as a new measurement of photon statistics. Dependences of Mandel parameter Q and corresponding normalized Mandel parameter <Q> on photon-counting time interval are experimentally investigated for pseudo-thermal light. We demonstrate that <Q> is more appropriate than Q to measure the statistical deviation from Poisson distribution, because <Q> presents clearly both the intrinsic statistical properties and measuring effects. The advantages of <Q> in charactering nonclassical emissions are also discussed.
[1] Brown R H and Twiss R Q 1956 Nature 177 27 [2] Mandel L and Wolf E 1965 Rev. Mod. Phys. 37 231 [3] Chang R F, Korenman V, Alley C O and Detenbeck R W 1969 Phys. Rev. 178 612 [4] Bluemel V, Narducci L M and Tuft R A 1972 J. Opt. Soc. Am. 62 1309 [5] Scarl D B 1966 Phys. Rev. Lett. 17 663 [6] Arecchi F T, Bern\'{e A and Sona A 1966 Phys. Rev. Lett. 17 260 [7] Jakeman E, Pike E R and Swain S 1971 J. Phys. A 4 517 [8] Kimble H J, Dagenais M and Mandel L 1977 Phys. Rev. Lett. 39 691 [9] Mandel L 1979 Opt. Lett. 4 205 [10] Short R and Mandel L 1983 Phys. Rev. Lett. 51 384 [11] Diedrich F and Walther H 1987 Phys. Rev. Lett. 58 203 [12] Treussart F, All\'{eaume R, Floc'h V Le, Xiao L T, Courty J-M and Roch J F 2002 Phys. Rev. Lett. 89 093601 [13] Lounis B and Moerner W E 2000 Nature 407 491 [14] Malko A, Baier M H, Karlsson K F, Pelucchi E, Oberli D Y and Kapon E 2006 Appl. Phys. Lett. 88 081905 [15] Koashi M, Kono K, Hirano T and Matsuoka M 1993 Phys. Rev. Lett. 71 1164 [16] Rempe G, Schmidt-Kaler F and Walther H 1990 Phys. Rev. Lett. 64 2783 [17] Choi W, Lee J-H, An K, Fang-Yen C, Dasari R R and Feld M S 2006 Phys. Rev. Lett. 96 093603 [18] Henny M, Oberholzer S, Strunk C, Heinzel T, Ensslin K, Holland M and Sch\"{onenberger C 1999 Science 284 296 [19] Iannuzzi M, Orecchini A, Sacchetti F, Facchi P and Pascazio S 2006 Phys. Rev. Lett. 96 080402 [20] Li G, Zhang T C, Li Y and Wang J M 2005 Phys. Rev. A 71 023807 [21] Li Y, Li G, Zhang Y C, Wang X Y, Wang J M and Zhang T C 2006 Acta Phys. Sin. 55 5779 (in Chinese) [22] Donovan D P, Whiteway J A and Carswell A L1993 Appl. Opt. 32 6742 [23] Teich M C and Saleh B E A1982 Opt. Lett. 7 365
2008, Vol. 25 
