Abstract
The phenomena of excitability and coherent resonance in a nonlinear ring cavity in the presence of excitons and biexcitons are considered. A bifurcation analysis of the dynamics of the nonlinear ring cavity indicates that both self-pulsation and excitability can exist in the system. It is demonstrated that coherent resonance can be observed in an excitable exciton-biexciton system in the ring cavity. The optimum conditions for the manifestation of these phenomena are investigated, and their possible applications are discussed.
Similar content being viewed by others
References
R. FitzHugh, Bull. Math. Biophys. 17, 257 (1955).
J. D. Murray, Mathematical Biology (Springer, Berlin, 1990).
A. S. Pikovsky and J. K. Kurths, Phys. Rev. Lett. 78, 775 (1997).
S. Grill, V. S. Zykov, and S. C. Muller, Phys. Chem. 100, 19082 (1996).
W. Lu, D. Yu, and R. G. Harrison, Phys. Rev. A: At., Mol., Opt. Phys. 58, R809 (1998).
V. Z. Tronciu and R. A. Abram, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 65, 026616 (2002).
J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 60, 6580 (1999).
J. Mulet and C. R. Mirasso, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 59, 5400 (1999).
V. Z. Tronciu, H.-J. Wünsche, K. R. Schneider, and M. Radziunas, Proc. SPIE—Int. Soc. Opt. Eng. 4283, 347 (2001).
H.-J. Wünsche, O. Brox, M. Radziunas, and F. Henneberger, Phys. Rev. Lett. 88, 023901 (2001).
E. M. Izhikevich, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 1171 (2000).
B. Lindner, and L. Schimansky-Geier, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 61, 6103 (2000).
J. M. Buldú, J. Garcia-Ojalvo, C. R. Mirasso, M. C. Torrent, and J. M. Sancho, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 64, 051109 (2001).
F. Marino, M. Giudici, S. Barland, and S. Balle, Phys. Rev. Lett. 88, 040601 (2002).
S. A. Moscalenko and D. W. Snoke, Bose-Einstein Condensation of Excitons and Biexcitons: Coherent Nonlinear Optics with Excitons (Cambridge University Press, Cambridge, 2000).
A. A. Gogolin and E. I. Rashba, Pis’ma Zh. Éksp. Teor. Fiz. 17(12), 690 (1973) [JETP Lett. 17 (12), 478 (1973)]; E. Hanamura, Solid State Commun. 12, 951 (1973).
V. A. Zalozh, A. X. Rotaru, and V. Z. Tronchu, Zh. Éksp. Teor. Fiz. 105, 260 (1994) [JETP 78, 138 (1994)].
A. Kh. Rotaru and V. Z. Tronchu, Fiz. Tverd. Tela (Leningrad) 41(11), 1939 (1999) [Phys. Solid State 41 (11), 1778 (1999)].
R. Mannella, in Noise in Nonlinear Dynamical Systems, Ed. by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, 1989), Vol. 3, p. 198.
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.Z. Tronciu, R.A. Abram, S.S. Rusu, P.I. Bardetskiĭ, 2007, published in Fizika Tverdogo Tela, 2007, Vol. 49, No. 3, pp. 411–415.
Rights and permissions
About this article
Cite this article
Tronciu, V.Z., Abram, R.A., Rusu, S.S. et al. Dynamics of a nonlinear ring cavity: Excitability and coherent resonance. Phys. Solid State 49, 426–430 (2007). https://doi.org/10.1134/S1063783407030055
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063783407030055