Entanglement characteristics of output optical fields in double-cavity optomechanics

Zhang Xiu-Long; Bao Qian-Qian; Yang Ming-Zhu; Tian Xue-Song

doi:10.7498/aps.67.20172467

Abstract

Radiation pressure in an optomechanical system can be used to generate various quantum entanglements between the subsystems. Recently, one paid more attention to the study of quantum entanglement in an optomechanical system. Here in this work, we study the properties of output entanglement between two filtered output optical fields by the logarithmic negativity method in a double-cavity optomechanical system. Our calculations show that the decay rate of the mechanical resonator, the bandwidth of filter function, and non-equal-coupling will evidently affect the value of the output entanglement. In particular, under the parameters of equal-coupling and zero filter bandwidth, the output entanglement in the vicinity of resonant frequency (=0 in the rotating frame) will decease with mechanical decay rate increasing. But under the parameters of equal-coupling and non-zero filter bandwidth, the output entanglement will be suppressed if the center frequency of output field is in the vicinity of the resonant frequency. However, the output entanglement can be enhanced if we adopt a non-equal-coupling to counteract the suppression effect of the filter bandwidth. Furthermore, we find that there are three peaks in the whole center frequency domain of the output field if we adopt strong non-equal-coupling. This is because the normal mode of Hamiltonian Hint will split into three normal modes in this case. Our results can also be used in other parametrically coupled three-mode bosonic systems and may be applied to realizing the state transfer process and quantum teleportation in an optomechanical system.

Keywords:

Authors and contacts

1.
College of Electronic Science, Northeast Petroleum University, Daqing 163318, China;
2.
College of Physics, Liaoning University, Shenyang 110036, China;
3.
College of Science, Heilongjiang University of Science and Technology, Harbin 150001, China

Corresponding author: Bao Qian-Qian, baoqianqian@lnu.edu.cn

Funds: Project supported by the Natural Science Foundation of Heilongjiang Province, China (Grant No. QC2017062), the General Science and Technology Research Plans of Liaoning Educational Bureau, China (Grant No. L2014002) and the Youth Fund of Liaoning University, China (Grant Nos. LDQN201430, LDGY201403).

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[22]	Tian L 2013 Phys. Rev. Lett. 110 233602
[23]	Kuzyk M C, van Enk S J, Wang H 2013 Phys. Rev. A 88 062341
[24]	Wang Y D, Chesi S Clerk A A 2015 Phys. Rev. A 91 013807
[25]	Deng Z J, Habraken S J M, Marquardt F 2016 New J. Phys. 18 063022
[26]	Deng Z J, Yan X B, Wang Y D, Wu C W 2016 Phys. Rev. A 93 033842
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[37]	DeJesus E X, Kaufman C 1987 Phys. Rev. A 35 5288
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Cited By

[1]	Julsgaard B, Kozhekin A, Polzik E S 2001 Nature 413 400
[2]	Krauter H, Muschik C A, Jensen K, Wasilewski W, Petersen J M, Cirac J I, Polzik E S 2011 Phys. Rev. Lett. 107 080503
[3]	Berkley A J, Xu H, Ramos R C, Gubrud M A, Strauch F W, Johnson P R, Anderson J R, Dragt A J, Lobb C J, Wellstood F C 2003 Science 300 1548
[4]	Neeley M, Bialczak R C, Lenander M, Lucero E, Mariantoni M, Sank D, Wang H, Weides M, Wenner J, Yin Y, Yamamoto T, Cleland A N, Martinis J M 2010 Nature 467 570
[5]	DiCarlo L, Reed M, Sun L, Johnson B L, Chow J M, Gambetta J M, Frunzio L, Girvin S M, Devoret M H, Schoelkopf R J 2010 Nature 467 574
[6]	Flurin E, Roch N, Mallet F, Devoret M H, Huard B 2012 Phys. Rev. Lett. 109 183901
[7]	Aspelmeyer M, Kippenberg T J, Marquardt F 2014 Rev. Mod. Phys. 86 1391
[8]	Chen X, Liu X W, Zhang K Y, Yuan C H, Zhang W P 2015 Acta Phys. Sin. 64 164211 (in Chinese)[陈雪, 刘晓威, 张可烨, 袁春华, 张卫平 2015 64 164211]
[9]	Chen H J, Fang X W, Chen C Z, Li Y 2016 Acta Phys. Sin. 65 194205 (in Chinese)[陈华俊, 方贤文, 陈昌兆, 李洋 2016 65 194205]
[10]	Yan X B, Yang L, Tian X D, Liu Y M, Zhang Y 2014 Acta Phys. Sin. 63 204201 (in Chinese)[严晓波, 杨柳, 田雪冬, 刘一谋, 张岩 2014 63 204201]
[11]	Bhattacharya M, Giscard P L, Meystre P 2008 Phys. Rev. A 77 030303
[12]	Chen R X, Shen L T, Yang Z B, Wu H Z, Zheng S B 2014 Phys. Rev. A 89 023843
[13]	Liao J Q, Wu Q Q, Nori F 2014 Phys. Rev. A 89 014302
[14]	Yang C J, An J H, Yang W, Li Y 2015 Phys. Rev. A 92 062311
[15]	Paternostro M, Vitali D, Gigan S, Kim M S, Brukner C, Eisert J, Aspelmeyer M 2007 Phys. Rev. Lett. 99 250401
[16]	Wipf C, Corbitt T, Chen Y, Mavalvala N 2008 New J. Phys. 10 095017
[17]	Genes C, Mari A, Tombesi P, Vitali D 2008 Phys. Rev. A 78 032316
[18]	Barzanjeh Sh, Vitali D, Tombesi P, Milburn G J 2011 Phys. Rev. A 84 042342
[19]	Barzanjeh Sh, Abdi M, Milburn G J, Tombesi P, Vitali D 2012 Phys. Rev. Lett. 109 130503
[20]	Barzanjeh Sh, Pirandola S, Weedbrook C 2013 Phys. Rev. A 88 042331
[21]	Wang Y D, Clerk A A 2013 Phys. Rev. Lett. 110 253601
[22]	Tian L 2013 Phys. Rev. Lett. 110 233602
[23]	Kuzyk M C, van Enk S J, Wang H 2013 Phys. Rev. A 88 062341
[24]	Wang Y D, Chesi S Clerk A A 2015 Phys. Rev. A 91 013807
[25]	Deng Z J, Habraken S J M, Marquardt F 2016 New J. Phys. 18 063022
[26]	Deng Z J, Yan X B, Wang Y D, Wu C W 2016 Phys. Rev. A 93 033842
[27]	Vitali D, Gigan S, Ferreira A, Bhm H R, Tombesi P, Guerreiro A, Vedral V, Zeilinger A, Aspelmeyer M 2007 Phys. Rev. Lett. 98 030405
[28]	Hofer S G, Wieczorek W, Aspelmeyer M, Hammerer K 2011 Phys. Rev. A 84 052327
[29]	Akram U, Munro W, Nemoto K, Milburn G J 2012 Phys. Rev. A 86 042306
[30]	Sinha K, Lin S Y, Hu B L 2015 Phys. Rev. A 92 023852
[31]	He Q Y, Ficek Z 2014 Phys. Rev. A 89 022332
[32]	Kiesewetter S, He Q Y, Drummond P D, Reid M D 2014 Phys. Rev. A 90 043805
[33]	He Q Y, Reid M D 2013 Phys. Rev. A 88 052121
[34]	Wang M, Gong Q H, Ficek Z, He Q Y 2015 Sci. Rep. 5 12346
[35]	Wang M, Gong Q H, Ficek Z, He Q Y 2014 Phys. Rev. A 90 023801
[36]	Palomaki T A, Teufel J D, Simmonds R W, Lehnert K W 2013 Science 342 710
[37]	DeJesus E X, Kaufman C 1987 Phys. Rev. A 35 5288
[38]	Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[39]	Plenio M B 2005 Phys. Rev. Lett. 95 090503

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Vol. 67, Issue 10 - 2018-05-20

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