Scheme for direct measurement of Wigner function in two-mode cavity QED driven by classical fields

doi:10.1088/1674-1056/19/12/124203

Abstract We propose a scheme for the direct measurement of Wigner function in two-mode cavity QED. The atoms are sent to resonantly interact with two orthogonally polarized cavity modes in the presence of strong classical field. The probability of measuring the atom in the ground state directly gives the useful information of the cavity field. This method can be used for quantum non-demolition measurement of the photon number.

Keywords: two-mode cavity Wigner function quantum non-demolition measurement

Received: 30 December 2009
Revised: 01 June 2010
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	42.50.Gy	(Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)
	42.50.Pq	(Cavity quantum electrodynamics; micromasers)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10974028), the Doctoral Foundation of the Ministry of Education of China (Grant No. 20093514110009), the Natural Science Foundation of Fujian Province of China (Grant No. 2009J06002), and the Funds from the State Key Laboratory Breeding Base of Photocatalysis, Fuzhou University.

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Wu Huai-Zhi(吴怀志), Yang Zhen-Biao(杨贞标), and Zheng Shi-Biao(郑仕标) Scheme for direct measurement of Wigner function in two-mode cavity QED driven by classical fields 2010 Chin. Phys. B 19 124203

1.	Krause J, Scully M O, and Walther H 1986 Phys. Rev. A 34 2032
2.	Scully M O, Walther H, Agarwal G S, Quang Tran and Schleich W 1991 Phys. Rev. A 44 5992
3.	Dutra S M, Knight P L and Moya-Cessa H 1993 Phys. Rev. A48 3168
4.	Bardroff P J, Mayr E and Schleich W P 1995 Phys. Rev. A 51 4963
5.	Cirac J I, Zoller P and Blatt R 1996 Phys. Rev. A 53 R1966
6.	Helon C D and Milburn G J 1996 Phys. Rev. A 54 R25
7.	Zubairy M S 1998 Phys. Rev. A 57 2066
8.	Wilkens M and Meystre P 1991 Phys. Rev. A 43 3832
9.	Kim M S, Antesberger G, Bodendorf C T and Walther H 1998 Phys.Rev. A 58 R65
10	Lutterbach L G and Davidovich L 1997 Phys. Rev. Lett. 78 2547
11	Bertet P, Auffeves A, Maioli P, Osnaghi S, Meunier T, Brune M,Raimond J M and Haroche S 2002 Phys. Rev. Lett. 89 200402
12	Bardroff P J, Fontenelle M T and Stenholm S 1999 Phys. Rev. A 59 R950
13	Zou X B, Pahlke K and Mathis W 2004 Phys. Rev. A 69 015802
14	Kim M S and Agarwal G S 1999 Phys. Rev. A 59 3044
15	Zheng S B 2000 Aust. J. Phys. 53 429
16	Spillane S M, Kippenberg T J, Vahala K J, Goh K W, Wilcut E and Kimble H J 2005 Phys. Rev. A 71 013817
17	James D F V 2000 Fortschr. Phys. 48 823
18	Gleyzes S, Kuhr S, Guerlin C, Bernu J, Deléglise S, Hoff U B,Brune M, Raimond J M and Haroche S 2007 Nature (London) 446 297
19	Vahala K J 2003 Nature (London) 424 839
20	Solano E, de Matos Filho R L and Zagury N 1999 Phys. Rev. A 59 R2539
21	Zheng S B 2004 Chin. Phys. 13 187
22	Haroche S and Raimond J M 2006 Exploring the Quantum (Oxford:Oxford University Press) p.~313
23	Pereira S F, Ou Z Y and Kimble H J 1994 Phys. Rev. Lett.72 214
24	Peil S and Gabrielse G 1999 Phys. Rev. Lett. 83 1287
25	Kuzmich A, Mandel L, Janis J, Young Y E, Ejnisman R and Bigelow N P 1999 Phys. Rev. A 60 2346
26	Guerlin C, Bernu J, Deléglise S, Sayrin C, Gleyzes S, Kuhr S,Brune M, Raimond J M and Haroche S 2007 Nature (London) 448 889
27	Brune M, Bernu J, Guerlin C, Deléglise S, Sayrin C, Gleyzes S, Kuhr S, Dotsenko I, Raimond J M and Haroche S 2008 Phys. Rev. Lett. 101 240402
28	Wang H, Hofheinz M, Ansmann M, Bialczak R C, Lucero E, Neeley M, O'Connell A D, Sank D, Wenner J, Cleland A N and Martinis J M 2008 Phys. Rev. Lett. 101 240401

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Scheme for direct measurement of Wigner function in two-mode cavity QED driven by classical fields

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