Glassy behavior of light in random lasers
Luca Angelani, Claudio Conti, Giancarlo Ruocco, Francesco Zamponi
Abstract
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.
Create a lesson
Related papers
Glauber dynamics of the Sherrington--Kirkpatrick spin-glass model: a dynamical cavity method
Grzegorz Szamel
Generative diffusion in long-range correlated landscapes: Speciation cascade and the foam structure of the score
Jerome Garnier-Brun, Giulio Biroli, Marc Mézard et al.
A Clifford-index approach connecting boundary Dirac fermions to sigma-model topological terms in the periodic table of topological insulators and superconductors
Y. X. Zhao
Exact solution of the dynamic pseudogap model: Fock-space formalism for Gaussian fluctuations
Michael V. Sadovskii
Covariance-dependent participation scaling of Comtet disorder on open hyperbolic lattices
Wei Li, Yong Cheng
Informative Fisher Modes in Neural Networks as a Result of Explicit Symmetry Breaking
Ibrahim Talha Ersoy, Björn Ladewig, Karoline Wiesner