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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

Laser transition triptych in a closed cavity for varying disorder.In the central panel the phase diagram  is displayed for a closed cavity (nonlinearity strength α = 1) in terms of the four possible optical regimes1415: incoherent wave (IW), standard mode locking (SML), phase locking wave (PLW) and random laser (RL). Two pumping paths across the lasing thresholds are shown as dotted lines, at  and . In the left panels  to  the behavior the distributions of IFO, , and standard overlap, , across the ordered ML laser threshold are reported. The transition is discontinuous in the standard Parisi distribution , whereas  is invariant. In the right panels  to  the IFO and standard overlap distributions are shown for the RL transition: as  increases, we show that the low  solution is replica symmetric (e), while above threshold it becomes discontinuously 1RSB (f, g, h).
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f1: Laser transition triptych in a closed cavity for varying disorder.In the central panel the phase diagram is displayed for a closed cavity (nonlinearity strength α = 1) in terms of the four possible optical regimes1415: incoherent wave (IW), standard mode locking (SML), phase locking wave (PLW) and random laser (RL). Two pumping paths across the lasing thresholds are shown as dotted lines, at and . In the left panels to the behavior the distributions of IFO, , and standard overlap, , across the ordered ML laser threshold are reported. The transition is discontinuous in the standard Parisi distribution , whereas is invariant. In the right panels to the IFO and standard overlap distributions are shown for the RL transition: as increases, we show that the low solution is replica symmetric (e), while above threshold it becomes discontinuously 1RSB (f, g, h).

Mentions: In equation (7) we have considered the most general case in which a high pumping regime can display both a global coherence () and a multi-state non-trivial structure for the amplitude configurations (). This mixing physically occurs for a degree of disorder next to the tolerance value beyond which standard mode locking (SML) breaks down, leaving place to glassy random lasing. This is displayed in the phase diagrams in the central panels of the triptych Figs 1 and 2, as the boundary lines between SML () and glassy random laser (m = 0 but ) at large .


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

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

Laser transition triptych in a closed cavity for varying disorder.In the central panel the phase diagram  is displayed for a closed cavity (nonlinearity strength α = 1) in terms of the four possible optical regimes1415: incoherent wave (IW), standard mode locking (SML), phase locking wave (PLW) and random laser (RL). Two pumping paths across the lasing thresholds are shown as dotted lines, at  and . In the left panels  to  the behavior the distributions of IFO, , and standard overlap, , across the ordered ML laser threshold are reported. The transition is discontinuous in the standard Parisi distribution , whereas  is invariant. In the right panels  to  the IFO and standard overlap distributions are shown for the RL transition: as  increases, we show that the low  solution is replica symmetric (e), while above threshold it becomes discontinuously 1RSB (f, g, h).
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f1: Laser transition triptych in a closed cavity for varying disorder.In the central panel the phase diagram is displayed for a closed cavity (nonlinearity strength α = 1) in terms of the four possible optical regimes1415: incoherent wave (IW), standard mode locking (SML), phase locking wave (PLW) and random laser (RL). Two pumping paths across the lasing thresholds are shown as dotted lines, at and . In the left panels to the behavior the distributions of IFO, , and standard overlap, , across the ordered ML laser threshold are reported. The transition is discontinuous in the standard Parisi distribution , whereas is invariant. In the right panels to the IFO and standard overlap distributions are shown for the RL transition: as increases, we show that the low solution is replica symmetric (e), while above threshold it becomes discontinuously 1RSB (f, g, h).
Mentions: In equation (7) we have considered the most general case in which a high pumping regime can display both a global coherence () and a multi-state non-trivial structure for the amplitude configurations (). This mixing physically occurs for a degree of disorder next to the tolerance value beyond which standard mode locking (SML) breaks down, leaving place to glassy random lasing. This is displayed in the phase diagrams in the central panels of the triptych Figs 1 and 2, as the boundary lines between SML () and glassy random laser (m = 0 but ) at large .

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