Statistical physical theory of mode-locking laser generation with a frequency comb

Abstract

A study of the Mode-locking lasing pulse formation in closed cavities is presented within a statistical mechanical framework where the onset of laser coincides with a thermodynamic phase transition driven by the optical power pumped into the system. Electromagnetic modes are represented by classical degrees of freedom of a Hamiltonian model at equilibrium in an effective ensemble corresponding to the stationary laser regime. By means of optimized Monte Carlo numerical simulations, the system properties are analyzed varying mode interaction dilution, gain profile and number of modes. Novel properties of the resulting mode-locking laser phase are presented, not observable by previous mean-field approaches. For strong dilution of the nonlinear interaction network, power condensation occurs as the whole optical intensity is taken by a few electromagnetic modes, whose number does not depend on the size of the system. For all reported cases laser thresholds, intensity spectra, and ultra-fast electromagnetic pulses are computed.

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Cited by in corpus (14)

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• The Complex Spherical 2+4 Spin Glass: a Model for Nonlinear Optics in Random Media
• Statistical mechanics models for multimode lasers and random lasers
• Statistical physics of nonlinear wave interaction
• Self-starting nonlinear mode-locking in random lasers
• Glassiness and Lack of Equipartition in Random Lasers: the common roots of Ergodicity Breaking in Disordered and Non-linear Systems
• Solving the fully-connected spherical $p$-spin model with the cavity method: equivalence with the replica results
• Regularization and decimation pseudolikelihood approaches to statistical inference in $XY$-spin models
• Universality class of the mode-locked glassy random laser
• Multi-body quenched disordered $XY$ and $p$-clock models on random graphs
• Improved Pseudolikelihood Regularization and Decimation methods on Non-linearly Interacting Systems with Continuous Variables
• Inverse problem for multi-body interaction of nonlinear waves
• Intensity pseudo-localized phase in the glassy random laser
• Inference for interacting linear waves in ordered and random media