Thermalized polarization dynamics of a discrete optical-waveguide system with four-wave mixing


Statistical mechanics of two coupled vector fields is studied in the tight-binding model that describes propagation of polarized light in discrete waveguides in the presence of the four-wave mixing. The energy and power conservation laws enable the formulation of the equilibrium properties of the polarization state in terms of the Gibbs measure with positive temperature. The transition line T=∞ is established beyond which the discrete vector solitons are created. Also in the limit of the large nonlinearity an analytical expression for the distribution of Stokes parameters is obtained, which is found to be dependent only on the statistical properties of the initial polarization state and not on the strength of nonlinearity. The evolution of the system to the final equilibrium state is shown to pass through the intermediate stage when the energy exchange between the waveguides is still negligible. The distribution of the Stokes parameters in this regime has a complex multimodal structure strongly dependent on the nonlinear coupling coefficients and the initial conditions.

Publication DOI:
Additional Information: ©2013 American Physical Society. hermalized polarization dynamics of a discrete optical-waveguide system with four-wave mixing. S. A. Derevyanko Phys. Rev. A 88, 033851 – Published 30 September 2013
Publication ISSN: 1094-1622
Last Modified: 07 Feb 2024 08:04
Date Deposited: 07 Dec 2015 14:30
Full Text Link:
Related URLs: http://journals ... sRevA.88.033851 (Publisher URL)
PURE Output Type: Article
Published Date: 2013-09-01
Published Online Date: 2013-07-11
Authors: Derevyanko, S.A.



Version: Accepted Version

| Preview

Export / Share Citation


Additional statistics for this record