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Chin. Phys. B, 2018, Vol. 27(11): 114206    DOI: 10.1088/1674-1056/27/11/114206

On the nonclassical dynamics of cavity-assisted four-channel nonlinear coupler

Rafael Julius1,2, Abdel-Baset M A Ibrahim1, Pankaj Kumar Choudhury3, Hichem Eleuch4,5
1 Faculty of Applied Sciences, Universiti Teknologi MARA(UiTM), 40450 Shah Alam, Selangor, Malaysia;
2 Faculty of Applied Sciences, Universiti Teknologi Mara(UiTM) Perak, Tapah Campus, 35400 Tapah Road, Perak, Malaysia;
3 Institute of Microengineering and Nanoelectronics, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;
4 Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, United Arab Emirates;
5 Institute for Quantum Science and Engineering, Texas A & M University, College Station, Texas 77843, USA

The non-classical properties of light propagating in four-channel Kerr waveguides, confined in an optical cavity, are studied. The solution to the Hamiltonian of field operators is obtained semi-analytically by using symmetrically ordered phase-space representation. Full quantum analysis of the input coherent fields displays a strong transition of photon property between the super-Poissonian and sub-Poissonian statistics. It is found that the cavity-assisted multichannel system exhibits enhanced squeezing both in single-and compound-mode. This multichannel system may be utilized as an efficient quantum-light generator.

Keywords:  squeezed states      Kerr effects      Langevin equation  
Received:  28 February 2018      Revised:  03 August 2018      Accepted manuscript online: 
PACS:  42.50.-p (Quantum optics)  
  05.10.Gg (Stochastic analysis methods)  
  42.65.-k (Nonlinear optics)  
  42.82.Et (Waveguides, couplers, and arrays)  
Corresponding Authors:  Abdel-Baset M A Ibrahim     E-mail:

Cite this article: 

Rafael Julius, Abdel-Baset M A Ibrahim, Pankaj Kumar Choudhury, Hichem Eleuch On the nonclassical dynamics of cavity-assisted four-channel nonlinear coupler 2018 Chin. Phys. B 27 114206

[1] Moore G E 1965 Electronics 38 114
[2] O'Brien J L 2007 Science 318 1567
[3] Liu N, Thompson J, Weedbrook C, Lloyd S, Vedral V, Gu M and Modi K 2016 Phys. Rev. A 93 052304
[4] Hotta M, Matsumoto J and Yusa G 2014 Phys. Rev. A 89 012311
[5] Aasi J, Abadie J, Abbott B P et al 2013 Nat. Photon. 7 613
[6] Sun H X, Liu K, Zhang J X and Gao J R 2015 Acta Phys. Sin. 64 234210(in Chinese)
[7] Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Bachor H A and Bowen W P 2014 Phys. Rev. X 4 011017
[8] Zhou B J, Liu X J, Zhou Q P and Liu M W 2007 Chin. Phys. B 16 420
[9] Vahlbruch H, Khalaidovski A, Lastzka N, Gräf C, Danzmann K and Schnabel R 2010 Class. Quantum Gravity 27 084027
[10] Takeno Y, Yukawa M, Yonezawa H and Furusawa A 2007 Opt. Express 15 4321
[11] Zhou J, Fan H Y and Song J 2017 Chin. Phys. B 26 070301
[12] Tian J F, Zuo G H, Zhang Y C, Li G, Zhang P F and Zhang T C 2017 Chin. Phys. B 26 124206
[13] Vahlbruch H, Mehmet M, Chelkowski S, Hage B, Franzen A, Lastzka N, Goßler S, Danzmann K and Schnabel R 2008 Phys. Rev. Lett. 100 033602
[14] Zou H M and Fang M F 2016 Chin. Phys. B 25 070305
[15] Zhou B J, Peng Z H, Jia C X, Jiang C L and Liu X J 2014 Chin. Phys. B 23 120305
[16] Zhou B J, Liu X J, Zhou Q P and Liu M W 2007 Chin. Phys. 16 420
[17] Sete A E and Eleuch H 2010 Phys. Rev. A 82 043810
[18] Eleuch H, Courty J M, Messin G, Fabre C and Giacobino E 1999 J. Opt. B:Quantum SemiClass. Opt. 1 1
[19] Eleuch H 2008 Eur. Phys. J. D 49 391
[20] Sete A E and Eleuch H 2014 Phys. Rev. A 89 013841
[21] Qin W 2016 Chin. Phys. B 25 010304
[22] Feng X M, Xioa Y, Yu Y F and Zhang Z M 2015 Chin. Phys. B 24 050301
[23] Mecozzi A 1988 Opt. Lett. 13 925
[24] Podoshvedov S A, Noh J and Kim K 2002 Opt. Commun. 212 115
[25] El-Orany F A A, Perina J and Abdalla M S 2001 J. Opt. B:Quantum SemiClass. Opt. 3 67
[26] Ibrahim A B M A, Umarov B A and Wahiddin M R B 2000 Phys. Rev. A 61 043804
[27] White A G, Lam P K, McClell, D E, Bachor H A and Munro W J 2000 J. Opt. B:Quantum SemiClass. Opt. 2 553
[28] El-Orany F A A, Abdalla M S and Perina J 2005 Eur. Phys. J. D 33 453
[29] Julius R, Ibrahim A B M A, Deni M S M and Umarov B 2013 AIP Conf. Proc. February 2013 Kuala Lumpur, Malaysia p. 169
[30] Umarov B A, Ibrahim A B M A and Wahiddin M R B 2001 Nonlinearity Disorder:Theory Appl. (Neth.:Springer) p. 341
[31] Bernstein L J 1992 Opt. Commun. 94 406
[32] Bache M, Gaididei Y B and Christiansen P L 2003 Phys. Rev. A 67 043802
[33] Yu L, Li C, Fan J, Chen G, Zhang T C and Jia S 2016 Chin. Phys. B 25 050301
[34] Mallon, Reid M D and Olsen M K 2008 J. Phys. B:At. Mol. Opt. Phys. 41 015501
[35] Midgley S L W, Ferris A J and Olsen M K 1909 arXiv:09064851[quant-ph]
[36] Olsen M K 2006 Phys. Rev. A 73 053806
[37] Nemet N and Parkins S 2016 Phys. Rev. A 94 023809
[38] Julius R, Ibrahim A B M A and Deni M S M 2014 Laser Phys. 24 035202
[39] McCosker R J and Town G E 2010 J. Sensors Actuators B:Chem. 150 417
[40] McCosker R J and Town G E 2010 Aust. Conf. Opt. Fibre Technol. December 5-92010 Melbourne, Australia, p. 1
[41] McCosker R J 2011 Design and Applications of Multi-Channel Directional Couplers (Ph. D. thesis) (Sydney:Macquarie University)
[42] Chianca C V and Olsen M K 2011 Phys. Rev. A 83 043607
[43] Drummond P D and Gardiner C W 1980 J. Phys. A:Math. Gen. 13 2353
[44] Mandel L 1979 Opt. Lett. 4 205
[45] Walls D F and Milburn G J 1994 Quantum Optics (Berlin:Springer)
[46] Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
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