Limits...
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 an open cavity for varying disorder.In the central panel the phase diagram  is displayed for an open cavity (nonlinearity strength α = 0.4) 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 tresholds are shown as dotted lines, at  and . In the left panels  to  the behavior of IFO and standard overlap distributions across the ordered ML laser threshold are reported. The transition is now continuous in the order parameters , while  does not change below and above threshold. In the right panels  to  the IFO and standard overlap distributions are shown for the RL transition. As  increases we show that the low optical power solution is replica symmetric (), soon above threshold the solution is FRSB (f), further increasing  the solution becomes 1 + FRSB (g) and, eventually, for large pumping it is 1RSB (h). The transition is continuous in the order parameters .
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4663759&req=5

f2: Laser transition triptych in an open cavity for varying disorder.In the central panel the phase diagram is displayed for an open cavity (nonlinearity strength α = 0.4) 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 tresholds are shown as dotted lines, at and . In the left panels to the behavior of IFO and standard overlap distributions across the ordered ML laser threshold are reported. The transition is now continuous in the order parameters , while does not change below and above threshold. In the right panels to the IFO and standard overlap distributions are shown for the RL transition. As increases we show that the low optical power solution is replica symmetric (), soon above threshold the solution is FRSB (f), further increasing the solution becomes 1 + FRSB (g) and, eventually, for large pumping it is 1RSB (h). The transition is continuous in the order parameters .

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 an open cavity for varying disorder.In the central panel the phase diagram  is displayed for an open cavity (nonlinearity strength α = 0.4) 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 tresholds are shown as dotted lines, at  and . In the left panels  to  the behavior of IFO and standard overlap distributions across the ordered ML laser threshold are reported. The transition is now continuous in the order parameters , while  does not change below and above threshold. In the right panels  to  the IFO and standard overlap distributions are shown for the RL transition. As  increases we show that the low optical power solution is replica symmetric (), soon above threshold the solution is FRSB (f), further increasing  the solution becomes 1 + FRSB (g) and, eventually, for large pumping it is 1RSB (h). The transition is continuous in the order parameters .
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f2: Laser transition triptych in an open cavity for varying disorder.In the central panel the phase diagram is displayed for an open cavity (nonlinearity strength α = 0.4) 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 tresholds are shown as dotted lines, at and . In the left panels to the behavior of IFO and standard overlap distributions across the ordered ML laser threshold are reported. The transition is now continuous in the order parameters , while does not change below and above threshold. In the right panels to the IFO and standard overlap distributions are shown for the RL transition. As increases we show that the low optical power solution is replica symmetric (), soon above threshold the solution is FRSB (f), further increasing the solution becomes 1 + FRSB (g) and, eventually, for large pumping it is 1RSB (h). The transition is continuous in the order parameters .
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