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The glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra.

Antenucci F, Crisanti A, Leuzzi L - Sci Rep (2015)

Bottom Line: This order parameter allows to identify the laser transition in random media and describes its possible glassy nature in terms of emission spectra data, the only data so far accessible in random laser measurements.The theoretical analysis is performed in terms of the complex spherical spin-glass model, a statistical mechanical model describing the onset and the behavior of random lasers in open cavities.Replica Symmetry Breaking theory allows to discern different kinds of randomness in the high pumping regime, including the most complex and intriguing glassy randomness.

View Article: PubMed Central - PubMed

Affiliation: NANOTEC-CNR, Institute of Nanotechnology, Soft and Living Matter Laboratory, Rome, Piazzale A. Moro 2, I-00185, Roma, Italy.

ABSTRACT
The behavior of a newly introduced overlap parameter, measuring the correlation between intensity fluctuations of waves in random media, is analyzed in different physical regimes, with varying amount of disorder and non-linearity. This order parameter allows to identify the laser transition in random media and describes its possible glassy nature in terms of emission spectra data, the only data so far accessible in random laser measurements. The theoretical analysis is performed in terms of the complex spherical spin-glass model, a statistical mechanical model describing the onset and the behavior of random lasers in open cavities. Replica Symmetry Breaking theory allows to discern different kinds of randomness in the high pumping regime, including the most complex and intriguing glassy randomness. The outcome of the theoretical study is, eventually, compared to recent intensity fluctuation overlap measurements demonstrating the validity of the theory and providing a straightforward interpretation of qualitatively different spectral behaviors in different random lasers.

No MeSH data available.


Related in: MedlinePlus

Comparison between theory and experiments in a cavity less random laser.In the top row we display the probability distributions of the IFO for α = 0.4, when linear and nonlinear interactions are competing,  and for increasing pumping. Vertical lines represent Dirac’s deltas, whose height is the probability of the argument value. Different regimes are represented from fluorescence to large pumping random lasing. They are chosen along the dotted line in Fig. 2 at . Form left to right the first distribution is at point  in Fig. 2, the second between  and , the third one between  and  and the following above . In the bottom row the same regimes are reproduced in the IFO distribution experimentally measured and reported in refs 44,55 in an amorphous solid oligomeric random laser, T5COx.
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f3: Comparison between theory and experiments in a cavity less random laser.In the top row we display the probability distributions of the IFO for α = 0.4, when linear and nonlinear interactions are competing, and for increasing pumping. Vertical lines represent Dirac’s deltas, whose height is the probability of the argument value. Different regimes are represented from fluorescence to large pumping random lasing. They are chosen along the dotted line in Fig. 2 at . Form left to right the first distribution is at point in Fig. 2, the second between and , the third one between and and the following above . In the bottom row the same regimes are reproduced in the IFO distribution experimentally measured and reported in refs 44,55 in an amorphous solid oligomeric random laser, T5COx.

Mentions: In the RL experiment of ref. 44 the distribution , with defined in equation (5) is peaked in zero at low pumping, while it becomes nontrivial with a triple and, eventually, double peaked shape as the lasing threshold is overcome. Although in comparison with the theoretical predictions for N → ∞ the peaks of are smeared by noise effects and finite modes’ number effects, in all regimes . In Fig. 3 we display a comparison between the analytic IFO distribution computed in our 2 + 4 complex amplitude spin-glass model, cf. equation (2), in an open cavity and the experimental measurements of in refs 44,55.


The glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra.

Antenucci F, Crisanti A, Leuzzi L - Sci Rep (2015)

Comparison between theory and experiments in a cavity less random laser.In the top row we display the probability distributions of the IFO for α = 0.4, when linear and nonlinear interactions are competing,  and for increasing pumping. Vertical lines represent Dirac’s deltas, whose height is the probability of the argument value. Different regimes are represented from fluorescence to large pumping random lasing. They are chosen along the dotted line in Fig. 2 at . Form left to right the first distribution is at point  in Fig. 2, the second between  and , the third one between  and  and the following above . In the bottom row the same regimes are reproduced in the IFO distribution experimentally measured and reported in refs 44,55 in an amorphous solid oligomeric random laser, T5COx.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4663759&req=5

f3: Comparison between theory and experiments in a cavity less random laser.In the top row we display the probability distributions of the IFO for α = 0.4, when linear and nonlinear interactions are competing, and for increasing pumping. Vertical lines represent Dirac’s deltas, whose height is the probability of the argument value. Different regimes are represented from fluorescence to large pumping random lasing. They are chosen along the dotted line in Fig. 2 at . Form left to right the first distribution is at point in Fig. 2, the second between and , the third one between and and the following above . In the bottom row the same regimes are reproduced in the IFO distribution experimentally measured and reported in refs 44,55 in an amorphous solid oligomeric random laser, T5COx.
Mentions: In the RL experiment of ref. 44 the distribution , with defined in equation (5) is peaked in zero at low pumping, while it becomes nontrivial with a triple and, eventually, double peaked shape as the lasing threshold is overcome. Although in comparison with the theoretical predictions for N → ∞ the peaks of are smeared by noise effects and finite modes’ number effects, in all regimes . In Fig. 3 we display a comparison between the analytic IFO distribution computed in our 2 + 4 complex amplitude spin-glass model, cf. equation (2), in an open cavity and the experimental measurements of in refs 44,55.

Bottom Line: This order parameter allows to identify the laser transition in random media and describes its possible glassy nature in terms of emission spectra data, the only data so far accessible in random laser measurements.The theoretical analysis is performed in terms of the complex spherical spin-glass model, a statistical mechanical model describing the onset and the behavior of random lasers in open cavities.Replica Symmetry Breaking theory allows to discern different kinds of randomness in the high pumping regime, including the most complex and intriguing glassy randomness.

View Article: PubMed Central - PubMed

Affiliation: NANOTEC-CNR, Institute of Nanotechnology, Soft and Living Matter Laboratory, Rome, Piazzale A. Moro 2, I-00185, Roma, Italy.

ABSTRACT
The behavior of a newly introduced overlap parameter, measuring the correlation between intensity fluctuations of waves in random media, is analyzed in different physical regimes, with varying amount of disorder and non-linearity. This order parameter allows to identify the laser transition in random media and describes its possible glassy nature in terms of emission spectra data, the only data so far accessible in random laser measurements. The theoretical analysis is performed in terms of the complex spherical spin-glass model, a statistical mechanical model describing the onset and the behavior of random lasers in open cavities. Replica Symmetry Breaking theory allows to discern different kinds of randomness in the high pumping regime, including the most complex and intriguing glassy randomness. The outcome of the theoretical study is, eventually, compared to recent intensity fluctuation overlap measurements demonstrating the validity of the theory and providing a straightforward interpretation of qualitatively different spectral behaviors in different random lasers.

No MeSH data available.


Related in: MedlinePlus