Intensity pseudo-localized phase in the glassy random laser

Niedda, Jacopo; Leuzzi, Luca; Gradenigo, Giacomo

doi:10.1088/1742-5468/acd2c4

Cited by 2 publications

(1 citation statement)

References 60 publications

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“…1 is that it becomes more and more structured and heterogeneous upon decreasing the temperature. A first analysis of this phenomenon in terms of intensity equipartition breaking among the different modes has been performed in [39], and a deepening of the collective inhomogeneous behavior of the modes is presented in [60]. Another interesting feature of the spectrum is the central band narrowing, akin to the spectra of true experimental realizations of random lasers [2,3].…”

Section: Frequency Matching Condition Without Edge-band Modesmentioning

confidence: 99%

Universality class of the mode-locked glassy random laser

et al. 2023

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By means of enhanced Monte Carlo numerical simulations parallelized on GPUs we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a 44-spin model with complex spins with a global spherical constraint and quenched random interactions. Implementing two different boundary conditions for the mode frequencies we identify the critical points and the critical indices of the random lasing phase transition with finite size scaling techniques. The outcome of the scaling analysis is that the mode-locked random laser universality class is compatible with a mean-field one, though different from the mean-field class of the Random Energy Model and of 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.

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Section: Frequency Matching Condition Without Edge-band Modesmentioning

confidence: 99%

Universality class of the mode-locked glassy random laser

et al. 2023

Self Cite

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Probing marginal stability in the spherical p = 2 model

Niedda,

Tonolo,

Gradenigo

2024

J. Stat. Mech.

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In this paper, we investigate the marginally stable nature of the low-temperature trivial spin-glass phase in spherical p = 2 spin glass by perturbing the system with three different kinds of non-linear interactions. In particular, we compare the effect of three additional dense four-body interactions, namely ferromagnetic couplings, purely disordered couplings and couplings with competing disordered and ferromagnetic interactions. Our study, characterized by the effort to present in a clear and pedagogical way the derivation of all the results, shows that the marginal stability property of the spherical spin glass depends in fact on which kind of perturbation is applied to the system. In general, a certain degree of frustration is needed in the additional terms in order to induce a transition from a trivial to a non-trivial spin-glass phase. On the other hand, the addition of generic non-frustrated interactions does not destabilize the trivial spin-glass phase.

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Intensity pseudo-localized phase in the glassy random laser

Cited by 2 publications

References 60 publications

Universality class of the mode-locked glassy random laser

Universality class of the mode-locked glassy random laser

Probing marginal stability in the spherical p = 2 model

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