Enhanced second harmonic generation in a two-dimensional optical micro-cavity

doi:10.1088/1674-1056/27/3/034207

Abstract

We introduce a two-dimensional Bose-Einstein condensation model consisting of massive photon and photon-pair. Based on the new nonlinear model, the traditional process of second harmonics generation is reinvestigated. In order to describe the process, a new quantum phase, the harmonic phase, is introduced. The order parameter of the new physical phase is also given in this paper.

Keywords: Bose-Einstein condensation quantum phase transition photon

Received: 19 October 2017
Revised: 24 November 2017
Accepted manuscript online:

PACS:	42.65.Sf	(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
	05.30.Jp	(Boson systems)
	05.70.Fh	(Phase transitions: general studies)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11447207 and 11604193).

Corresponding Authors: Jian-Jun Zhang
E-mail: jjzhangphys@163.com

Cite this article:

Jian-Jun Zhang(张建军), Hui-Fang Wang(王慧芳), Jun-Hua Hou(候俊华) Enhanced second harmonic generation in a two-dimensional optical micro-cavity 2018 Chin. Phys. B 27 034207

[1]	Zou X Y, Wang L J and Mandel L 1991 Phys. Rev. Lett. 67 318
[2]	Shi Y, Yu Z and Fan S 2015 Nature photonics 9 388
[3]	Li W D, Feng Z F and Liu Y 2017 Chin. Phys. B 26 013401
[4]	Picozzi A, Garnier J, Hansson T, Suret P, Randoux S, Millot G and Christodoulides D 2014 Phys. Rep. 542 1
[5]	Cheng Z 2017 Chin. Phys. B 26 046701
[6]	Leo F, Hansson T, Ricciardi I, Rosa M D, Coen S, Wabnitz S and Erkintalo M 2016 Phys. Rev. Lett. 116 033901
[7]	Grinblat G, Li Y, Nielsen M P, Oulton R F and Maier S A 2016 Nano Lett. 16 4635
[8]	Zhou J, Peatross J, Murnane M M, Kapteyn H C and Christov I P 1996 Phys. Rev. Lett. 76 752
[9]	Pu Y, Grange R, Hsieh C L and Psaltis D 2010 Phys. Rev. Lett. 104 207402
[10]	Mikhailov S A 2011 Phys. Rev. B 84 045432
[11]	Leo F, Hansson T, Ricciardi I, Rosa M De, Coen S, Wabnitz S and Erkintalo M 2016 Phys. Rev. Lett. 116 033901
[12]	Klaers J, Schmitt J, Vewinger F and Weitz M 2010 Nature 468 545
[13]	Klaers J, Schmitt J, Damm T, Vewinger F and Weitz M 2012 Phys. Rev. Lett. 108 160403
[14]	Kirton P and Keeling J 2013 Phys. Rev. Lett. 111 100404
[15]	HAO Y J 2011 Chin. Phys. Lett. 28 070501
[16]	Anderson M H, Ensher J R, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
[17]	Eisenstein J P and Macdonald A H 2004 Nature 432 691
[18]	Balili R, Hartwell V, Snoke D, Pfeiffer L and West K 2007 Science 316 1007
[19]	Nikuni T, Oshikawa M, Oosawa A, and Tanaka H 2000 Phys. Rev. Lett. 84 5868
[20]	Moniri S M, Yavari H and Darsheshdar E 2016 Chin. Phys. B 25 0126701
[21]	Chiao R Y and Boyce J 1999 Phys. Rev. A 60 4114
[22]	Fischer B and Weill R 2012 Opt. Express 20 26704
[23]	De Leeuw A W, Stoof H T C and Duine R A 2013 Phys. Rev. A 88 033829
[24]	Chiocchetta A and Carusotto I 2014 Phys. Rev. A 90 023633
[25]	Sob' yania D N 2013 Phys. Rev. E 88 022132
[26]	Kirton P and Keeling J 2015 Phys. Rev. A 91 033826
[27]	Van der Wurff E C I, De leeuw A W, Duine R A and Stoof H T C 2014 Phys. Rev. Lett. 113 135301
[28]	Weiss C 2016 Phys. Rev. A 94 042124
[29]	Cheng Z 2016 Phys. Rev. A 93 023829
[30]	Schmitt J, Damm T, Dung D, Vewinger F, klaers J and Weitz M 2015 Phys. Rev. A 92 011602
[31]	Marelic J and Nyman R A 2015 Phys. Rev. A 91 033813
[32]	Zwierlein M W, Stan C A, Schunck C H, Raupach S M F, Kerman A J and Ketterle W 2004 Phys. Rev. Lett. 92 120403
[33]	Li S C and Fu L B 2011 Phys. Rev. A 84 023605
[34]	Nakajima S 1955 Adv. Phys. 4 363
[35]	Cheng Z 1991 Phys. Rev. Lett. 67 2788
[36]	Cheng Z 2013 Phys. Rev. A 87 053825

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Enhanced second harmonic generation in a two-dimensional optical micro-cavity

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