Universality class of the mode-locked glassy random laser

Abstract

By means of enhanced Monte Carlo numerical simulations parallelized on GPU's we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a $4$-spin model with complex spins with a global spherical constraint and quenched random interactions. Using two different boundary conditions for the mode frequencies we identify the critical points and the critical indices of the random lasing phase transition using , with finite size scaling techniques. The outcome of the scaling analysis is that the mode-locked random laser is in a mean-field universality class, though different from the mean-field class of the Random Energy Model and the glassy random laser in the narrow band approximation, that is, the fully connected version of the present model. The low temperature (high pumping) phase is finally characterized by means of the overlap distribution and evidence for the onset of replica symmetry breaking in the lasing regime is provided.

17 pages, 11 figures

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Cited by in corpus (6)

• Observation of Replica Symmetry Breaking in Standard Mode-Locked Fiber Laser
• Directly observing replica symmetry breaking in a vector quantum-optical spin glass
• On the foundations of statistical mechanics
• A multimode cavity QED Ising spin glass
• Tailoring the overlap distribution in driven mean-field spin models
• Interaction-free ergodicity-breaking driven by temporally hyperuniform noise