Abstract
The coherent and nonlinear properties of a polaritonic crystal (PolC), formed by trapped two-level atoms in an optical cavity array and interacting with an optical field, are analyzed. The nonlinear Schrödinger equation is considered for the dynamics of coupled atom-light states and low-branch polaritons associated with PolCs in the continuous medium limit. The existence of a stable ground-state PolC wave function is predicted using the variational approach. For negative scattering lengths, the wave function collapses in the presence of small quintic nonlinearity.
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References
Cai, W. and Shalaev, V., Optical Metamaterials: Fundamentals and Applications, New York: Springer, 2010.
Angelakis, D.G., Santos, M.F., and Bose, S., Phys. Rev. A, 2007, vol. 76, p. 031805(R).
Alodjants, A.P., et al., J. Rus. Laser Res., 2006, vol. 27, no. 5, p. 400.
Kivshar, Yu. and Agarwal, G.P., Optical Solitons. From Fibers to Photonic Crystals, San Diego: Acad. Press, 2003.
Alodjants, A.P., Barinov, I.O., and Arakelian, S.M., J. Phys. B, 2010, vol. 43, p. 095502.
Sedov, E.S., et al., Phys. Rev. A, 2011, vol. 84, pp. 013813–1.
Lee, R.K., et al., J. Opt. Soc. Am. B, 2000, vol. 17, p. 629.
Vahala, K.J., Nature, 2003, vol. 424, p. 839.
Abdullaev, F.Kh., et al., Phys. Rev. A, 2001, vol. 63, p. 043604.
Perez-Garcia, V.M., et al., Phys. Rev. Lett., 1996, vol. 77, p. 5320.
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Original Russian Text © E.S. Sedov, A.P. Alodjants, S.M. Arakelian, Y.Y. Lin, R.-K. Lee, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 6, pp. 737–742.
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Sedov, E.S., Alodjants, A.P., Arakelian, S.M. et al. Effects of polariton-polariton scattering and the nonlinear properties of polaritonic crystal. Bull. Russ. Acad. Sci. Phys. 76, 657–662 (2012). https://doi.org/10.3103/S1062873812060263
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DOI: https://doi.org/10.3103/S1062873812060263