Unveiling Temporal Correlations Characteristic of a Phase Transition in the Output Intensity of a Fiber Laser

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences induced by a subthreshold periodic input, in the presence of white Gaussian noise. To simulate the spikes, we use the FitzHugh-Nagumo model, and to investigate the output sequence of inter-spike intervals (ISIs), we use the symbolic method of ordinal analysis. We find different types of relative temporal order, in the form of preferred ordinal patterns which depend on both, the strength of the noise and the period of the input signal. We also demonstrate a resonance-like behavior, as certain periods and noise levels enhance temporal ordering in the ISI sequence, maximizing the probability of the preferred patterns. Our findings could be relevant for understanding the mechanisms underlying temporal coding, by which single sensory neurons represent in spike sequences the information about weak periodic stimuli.

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“…It allows to classify different types of behaviors [20,21], to detect dynamical changes [22][23][24], etc. (see [25,26] for many examples).…”

Section: Introductionmentioning

confidence: 99%

Emergence of spike correlations in periodically forced excitable systems

2016

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“…Recently, the analogy between hydrodynamic transition to turbulence and change of operational regimes in fibre lasers has been studied both experimentally and theoretically [7,8]. A transition from highly ordered lasing regime to more irregular lasing, characterized by extreme, apparently random intensity fluctuations was reported.…”

Section: Introductionmentioning

confidence: 99%

“…In this work we characterize the complex dynamics to find underlying correlations and/or specific time-scales in the easily measurable intensity fluctuations of laser radiation [8]. In order to investigate this issue we use two nonlinear analysis tools: ordinal analysis [9] and the horizontal visibility graph [10].…”

Section: Introductionmentioning

confidence: 99%

Investigating optical complexity of the phase transition in the intensity of a fibre laser radiation

et al. 2016

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Fibre lasers have been shown to manifest a laminar-to-turbulent transition when increasing its pump power. In order to study the dynamical complexity of this transition we use advanced statistical tools of time-series analysis. We apply ordinal analysis and the horizontal visibility graph to the experimentally measured laser output intensity. This reveal the presence of temporal correlations during the transition from the laminar to the turbulent lasing regimes. Both methods allow us to unveil coherent structures with well defined time-scales and strong correlations both, in the timing of the laser pulses and in their peak intensities.

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“…From a different perspective, optical cavities and lasers offer an interesting experimental platform to study different regimes of optical turbulence [12,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. In particular, the phenomenon of condensation of photons has been recently demonstrated in optical microcavities [38], which raised important questions such as the relation between lasing and condensation [39].…”

Section: Introductionmentioning

confidence: 99%

Weak Langmuir optical turbulence in a fiber cavity

Garnier

Mussot

et al. 2016

Phys. Rev. A

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We study theoretically and numerically the dynamics of a passive optical fiber ring cavity pumped by a highly incoherent wave -an incoherently injected fiber laser. The theoretical analysis reveals that the turbulent dynamics of the cavity is dominated by the Raman effect. The forced-dissipative nature of the fiber cavity is responsible for a large diversity of turbulent behaviors: Besides nonequilibrium statistical stationary states, we report the formation of a periodic pattern of spectral incoherent solitons, or the formation of different types of spectral singularities, e.g., dispersive shock waves and incoherent spectral collapse behaviors. We derive a mean-field kinetic equation that describes in detail the different turbulent regimes of the cavity and whose structure is formally analogous to the weak Langmuir turbulence kinetic equation in the presence of forcing and damping. A quantitative agreement is obtained between the simulations of the nonlinear Schrödinger equation with cavity boundary conditions and those of the mean-field kinetic equation and the corresponding singular integro-differential reduction, without using adjustable parameters. We discuss the possible realization of a fiber cavity experimental set-up in which the theoretical predictions can be observed and studied.

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Unveiling Temporal Correlations Characteristic of a Phase Transition in the Output Intensity of a Fiber Laser

Cited by 53 publications

References 21 publications

Emergence of spike correlations in periodically forced excitable systems

Emergence of spike correlations in periodically forced excitable systems

Investigating optical complexity of the phase transition in the intensity of a fibre laser radiation

Weak Langmuir optical turbulence in a fiber cavity

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