Electromagnetically induced transparency and quadripartite macroscopic entanglement generated in a ring cavity

doi:10.1088/1674-1056/22/2/024204

Abstract We propose a feasible scheme to generate electromagnetically induced transparency (EIT) and quadripartite macroscopic entanglement in an optomechanical system with one fixed mirror and three movable perfectly reflecting mirrors. We explore the EIT phenomena in this optomechanical system. Results show the appearance of EIT dips in the output field. Moreover, we demonstrate how steady-state quadripartite entanglement can be generated via radiation pressure. We also quantify the bipartite entanglement in each field-mirror subsystem and in the mirror-mirror subsystem. Findings show that a high intensity of entanglement between two subsystems can be achieved.

Keywords: electromagnetically induced transparency optomechanical system quadripartite macroscopic entanglement

Received: 25 May 2012
Revised: 21 June 2012
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11164018 and 11074028); the Postdoctoral Science Foundation of China (Grant No. 2011M500808); and the Key Project of the Chinese Ministry of Education (Grant No. 212028).

Corresponding Authors: Ma Yong-Hong, Zhou Ling
E-mail: myh_dlut@126.com; zhlhxn@dlut.edu.cn

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Ma Yong-Hong (马永红), Zhou Ling (周玲) Electromagnetically induced transparency and quadripartite macroscopic entanglement generated in a ring cavity 2013 Chin. Phys. B 22 024204

[1]	Nielson M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[3]	Huang S and Agarwal G S 2011 Phys. Rev. A 83 043826
[4]	Rocheleau T, Ndukum T, Macklin C, Hertzberg J B, Clerk A A and Schwab K C 2010 Nature 463 72
[5]	O'Connell A D, Hofheinz M and Ansmann M 2010 Nature 464 697
[6]	Brown K R, Ospelkaus C, Colombe Y, Wilson A C and Leibfried D 2011 Nature 471 196
[7]	Liao J Q and Law C K 2011 Phys. Rev. A 83 033820
[8]	Khalili F, Danilishin S, Miao H, Müller-Ebhardt H, Yang H and Chen Y 2010 Phys. Rev. Lett. 105 070403
[9]	Miao H, Zhao C, Ju L and Blair D G 2009 Phys. Rev. A 79 063801
[10]	Zhao C, Ju L, Miao H, Gras S, Fan Y and Blair D G 2009 Phys. Rev. Lett. 102 243902
[11]	Mi X W, Bai J X and Li D J 2012 Chin. Phys. B 21 030303
[12]	Zou H L, Xu J X and Jiang J 2008 Chin. Phys. B 17 117
[13]	Vitali D, Gigan S, Ferreira A, Böhm H R, Tombesi P, Guerreiro A, Vedral V, Zeilinger A and Aspelmeyer M 2007 Phys. Rev. Lett. 98 030405
[14]	Genes C, Mari A, Tombesi P and Vitali D 2008 Phys. Rev. A 78 032316
[15]	Mancini S, Giovannetti V, Vitali D and Tombesi P 2002 Phys. Rev. Lett. 88 120401
[16]	Zhang J, Peng K and Braunstein S L 2003 Phys. Rev. A 68 013808
[17]	Pinard M, Dantan A, Vitali D, Arcizet O, Briant T and Heidmann A 2005 Europhys. Lett. 72 747
[18]	Huang S M and Agarwal G S 2009 New J. Phys. 11 103044
[19]	Paternostro M, Vitali D, Gigan S, Kim M S, Brukner C, Eisert J and Aspelmeyer M 2007 Phys. Rev. Lett. 99 250401
[20]	Ian H, Liu Y X and Nori F 2010 Phys. Rev. A 81 063823
[21]	Roghani M, Breuer H B and Helm H 2010 Phys. Rev. A 81 033418
[22]	Li Z H, Li Y, Dou Y F and Zhang J X 2012 Chin. Phys. B 21 034204
[23]	Lee Y C, Tsai C C, Chang Y Y, Huang C H and Chui H C 2011 Chin. Phys. B 20 073101
[24]	Niu J Y, Pei L Y, Wu L A and Fu P M 2010 Chin. Phys. B 19 113209
[25]	Luo B, Hang C, Li H J and Huang G X 2010 Chin. Phys. B 19 054214
[26]	Weis S, Riviére R, Deléglise S, Gavartin E, Arcizet O, Schliesser A and Kippenberg T J 2010 Science 330 1520
[27]	Eisaman M D, André A, Massou F, Fleischhauer M and Zibrov A S 2005 Nature 438 837
[28]	Appel J, Figueroa E, Korystov D, Lobino M and Lvovsky A I 2008 Phys. Rev. Lett. 100 093602
[29]	Lobino M, Kupchak C, Figueroa E and Lvovsky A I 2009 Phys. Rev. Lett. 102 203601
[30]	Kocharovskaya O, Rostovtsev Y and Scully M O 2001 Phys. Rev. Lett. 86 628
[31]	Han Y, Cheng J and Zhou L 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165505
[32]	Agarwal G S and Huang S 2010 Phys. Rev. A 81 041803
[33]	Weis S, Riviére R, Deléglise S and Gavartin E 2010 Science 300 1520
[34]	Lin Q, Rosenberg J, Chang D and Camachom R 2010 Nat. Photon. 4 236
[35]	Safavi-Naeini A H, Mayer Alegre T P, Chan J and Eichenfield M 2011 Nature 472 69
[36]	Gröblacher S, Hammerer K, Vanner M R and Aspelmeyer M 2009 Nature 460 724
[37]	Gorodetsky M L, Schliesser A, Anetsberger G, Deleglise S and Kippenberg T J 2010 Opt. Express 18 23236
[38]	Gardiner C W and Zoller P 1991 Quantum Noise (Berlin: Springer-Verlag)
[39]	Giovannetti V and Vitali D 2001 Phys. Rev. A 63 023812
[40]	DeJesus E X and Kaufman C 1987 Phys. Rev. A 35 5288
[41]	Laurat J, Keller G and Oliveira-Huguenin J A 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S577
[42]	Vidal G and Werner R F 2002 Phys. Rev. A 65 032314
[43]	Adesso G, Serafini A and Illuminati F 2004 Phys. Rev. A 70 022318
[44]	Gigan S, Böhm H R, Paternostro M and Blaser F 2006 Nature 444 67
[45]	Kleckner D and Bouwmeester D 2006 Nature 444 75
[46]	Marquardt F, Chen J P, Clerk A A and Girvin S M 2007 Phys. Rev. Lett. 99 093902

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Electromagnetically induced transparency and quadripartite macroscopic entanglement generated in a ring cavity

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