Observation of chaotic itinerancy in the light and carrier dynamics of a semiconductor laser with optical feedback

Ray, Will; Lam, Wing-Shun; Guzdar, P. N.; Roy, Rajarshi

doi:10.1103/physreve.73.026219

Cited by 26 publications

(19 citation statements)

References 20 publications

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“…It displays a complex dynamical behavior that results from the interplay of deterministic nonlinear light-matter interactions, spontaneous emission noise and time-delayed feedback1314151617. Close to the lasing threshold, and for moderate feedback strengths, the laser output intensity displays apparently random dropouts [see Fig.…”

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confidence: 99%

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Aragoneses

Rubido

Tiana-Alsina

et al. 2013

Sci Rep

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We describe a method to infer signatures of determinism and stochasticity in the sequence of apparently random intensity dropouts emitted by a semiconductor laser with optical feedback. The method uses ordinal time-series analysis to classify experimental data of inter-dropout-intervals (IDIs) in two categories that display statistically significant different features. Despite the apparent randomness of the dropout events, one IDI category is consistent with waiting times in a resting state until noise triggers a dropout, and the other is consistent with dropouts occurring during the return to the resting state, which have a clear deterministic component. The method we describe can be a powerful tool for inferring signatures of determinism in the dynamics of complex systems in noisy environments, at an event-level description of their dynamics.

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confidence: 99%

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Aragoneses

Rubido

Tiana-Alsina

et al. 2013

Sci Rep

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“…Using the approach [24] and its extensions, the narrow peak in the distribution of the trajectories has indeed been seen in simulations and in the experiments (see Refs. [25][26][27][28][29][30][31][32]). …”

Section: Introductionmentioning

confidence: 99%

Large rare fluctuations in systems with delayed dissipation

Dykman

Schwartz

2012

Phys. Rev. E

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We study the probability distribution and the escape rate in systems with delayed dissipation that comes from the coupling to a thermal bath. To logarithmic accuracy in the fluctuation intensity, the problem is reduced to a variational problem. It describes the most probable fluctuational paths, which are given by acausal equations due to the delay. In thermal equilibrium, the most probable path passing through a remote state has time-reversal symmetry, even though one cannot uniquely define a path that starts from a state with given system coordinate and momentum. The corrections to the distribution and the escape activation energy for small delay and small noise correlation time are obtained in explicit form.

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“…The coexistence of LFFs and stable emission has raised the issue of whether the LFFs are a transient dynamics which turns into a sustained one due to the presence of noise. Several studies have focused on characterizing deterministic chaotic features of the dropouts [7,8], as well as stochastic properties [9]. It has been shown [10][11][12][13] that the α factor strongly influences the operation regime of the laser.…”

Section: Introductionmentioning

confidence: 99%

Quantifying the statistical complexity of low-frequency fluctuations in semiconductor lasers with optical feedback

et al. 2010

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Low-frequency fluctuations (LFFs) represent a dynamical instability that occurs in semiconductor lasers when they are operated near the lasing threshold and subject to moderate optical feedback. LFFs consist of sudden power dropouts followed by gradual, stepwise recoveries. We analyze experimental time series of intensity dropouts and quantify the complexity of the underlying dynamics employing two tools from information theory, namely, Shannon's entropy and the Martín, Plastino, and Rosso statistical complexity measure. These measures are computed using a method based on ordinal patterns, by which the relative length and ordering of consecutive interdropout intervals (i.e., the time intervals between consecutive intensity dropouts) are analyzed, disregarding the precise timing of the dropouts and the absolute durations of the interdropout intervals. We show that this methodology is suitable for quantifying subtle characteristics of the LFFs, and in particular the transition to fully developed chaos that takes place when the laser's pump current is increased. Our method shows that the statistical complexity of the laser does not increase continuously with the pump current, but levels off before reaching the coherence collapse regime. This behavior coincides with that of the first-and second-order correlations of the interdropout intervals, suggesting that these correlations, and not the chaotic behavior, are what determine the level of complexity of the laser's dynamics. These results hold for two different dynamical regimes, namely, sustained LFFs and coexistence between LFFs and steady-state emission.

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Observation of chaotic itinerancy in the light and carrier dynamics of a semiconductor laser with optical feedback

Cited by 26 publications

References 20 publications

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Large rare fluctuations in systems with delayed dissipation

Quantifying the statistical complexity of low-frequency fluctuations in semiconductor lasers with optical feedback

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