Glassy behavior of light in random lasers

Details Glassy behavior of light in random lasers Glassy behavior of light in random lasers

2006-04-10

arxiv.org/abs/cond-mat/0604242v2

Phys. Rev. B 74, 104207 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 pages, 3 figures. Revised and enlarged version. To be published in Physical Review B

Scientific paper

10.1103/PhysRevB.74.104207

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very general equations (that also apply to other systems, like Bose-Condensed gases) describing light in a disordered non-linear medium and through some approximations we relate them to a mean-field spin-glass-like model. The model is solved by the replica method, and replica-symmetry breaking phase transition is predicted. The transition describes a mode-locking process in which the phases of the modes are locked to random (history and sample-dependent) values. The results are based on very general theory, and embrace a variety of physical phenomena.

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