Superfluidity of coherent light in self-focusing nonlinear waveguides

doi:10.1088/1674-1056/26/4/046701

Abstract We establish the superfluidity theory of coherent light in waveguides made of nonlinear polar crystals. It is found that the pairing state of photons in a nonlinear polar crystal is the photonic superfluid state. The photon-photon interaction potential is an attractive effective interaction by exchange of virtual optical phonons. In the traveling-wave pairing state of photons, the photon number is conserved, which is similar to the Bose-Einstein condensation (BEC) state of photons. In analogy to the BCS-BEC crossover theory of superconductivity, we derive a set of coupled order parameter and number equations, which determine the solution of the traveling-wave superfluid state of photons. This solution gives the critical velocity of light in a self-focusing nonlinear waveguide. The most important property of the photonic superfluid state is that the system of photon pairs evolves without scattering attenuations.

Keywords: superfluidity photon pairing nonlinear waveguide

Received: 02 December 2016
Revised: 04 January 2017
Accepted manuscript online:

PACS:	67.25.dj	(Superfluid transition and critical phenomena)
	64.60.-i	(General studies of phase transitions)
	67.10.Ba	(Boson degeneracy)
	78.30.-j	(Infrared and Raman spectra)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10174024 and 10474025).

Corresponding Authors: Ze Cheng
E-mail: zcheng@mail.hust.edu.cn

Cite this article:

Ze Cheng(成泽) Superfluidity of coherent light in self-focusing nonlinear waveguides 2017 Chin. Phys. B 26 046701

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Superfluidity of coherent light in self-focusing nonlinear waveguides

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