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.

Universality class of the mode-locked glassy random laser / Niedda, Jacopo; Gradenigo, Giacomo; Leuzzi, Luca; Parisi, Giorgio. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 14:6(2023). [10.21468/SciPostPhys.14.6.144]

Universality class of the mode-locked glassy random laser

Jacopo Niedda
Primo
;
Giacomo Gradenigo;Luca Leuzzi
;
Giorgio Parisi
Ultimo
2023

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.
2023
Random Laser - Spin-glasses - Finite-size scaling - Parallel-Tempering Monte Carlo
01 Pubblicazione su rivista::01a Articolo in rivista
Universality class of the mode-locked glassy random laser / Niedda, Jacopo; Gradenigo, Giacomo; Leuzzi, Luca; Parisi, Giorgio. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 14:6(2023). [10.21468/SciPostPhys.14.6.144]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1671778
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