Turbulent chimeras in large semiconductor laser arrays

Shena, Joniald; Hizanidis, Johanne; Kovanis, Vassilios; Tsironis, G. P.

doi:10.1038/srep42116

Cited by 50 publications

(35 citation statements)

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“…The spectral signatures of these intensity oscillations are side bands of the relaxation frequency, which should de observable in an experiment with continuouswave (or quasi-continuous wave) pumping. Such a kind of instabilities are common in semiconductor laser arrays [12][13][14][15][16] and represent one of the main reasons that prevents stable oscillation of high-power laser arrays, at least without special cavity design [17][18][19]. Our results suggest that, while chiral edge lasing modes in topological insulator lasers are robust against disorder, they might not be immune to dynamical instabilities arising from complex carrier-field dynamics.…”

Section: S Longhimentioning

confidence: 87%

“…compared to the photon lifetime, and thus they belong to class-B lasers [20]. In class-B laser arrays, dynamical instabilities are very common even when only two lasers are coupled [12,15], with more complex temporal behavior for a larger number of coupled lasers [14,16]. Insight can be gained from analytical, numerical and experimental work on optically coupled diode lasers, where we rudimentary expect optical coupling may prevent phase locking and the continuous-wave (cw) operation to be interrupted with stable limit cycles born out of Hopf bifurcations, as well as period doublings that end up in regions of strange chaotic attractors, as key parameters are changed [12,14,21,22].…”

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confidence: 99%

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Presence of temporal dynamical instabilities in topological insulator lasers

Longhi

Kominis

Kovanis

2018

EPL

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Topological insulator lasers are a newly introduced kind of lasers in which light snakes around a cavity without scattering. Like for an electron current in a topological insulator material, a topologically protected lasing mode travels along the cavity edge, steering neatly around corners and imperfections without scattering or leaking out. In a recent experiment, topological insulator lasers have been demonstrated using a square lattice of coupled semiconductor microring resonators with a synthetic magnetic field. However, laser arrays with slow population dynamics are likely to show dynamical instabilities in a wide range of parameter space corresponding to realistic experimental conditions, thus preventing stable laser operation. While topological insulator lasers provide an interesting mean for combating disorder and help collective oscillation of lasers at the edge of the lattice, it is not clear whether chiral edge states are immune to dynamical instabilities. In this work we consider a realistic model of semiconductor class-B topological insulator laser and show that chiral edge states are not immune to dynamical instabilities.

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Section: S Longhimentioning

confidence: 87%

mentioning

confidence: 99%

Presence of temporal dynamical instabilities in topological insulator lasers

Longhi

Kominis

Kovanis

2018

EPL

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“…It should be noted that there are also other measures that could be employed such as, e.g., a measure based on the local curvature of a given state [32]. This measure has been proved particularly useful whenever turbulent chimeras appear, e.g., in semiconductor laser arrays [33,34].…”

Section: Generation and Control Of Chimera Statesmentioning

confidence: 99%

Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients

Lazarides

Hizanidis

Tsironis

2020

Chaos, Solitons & Fractals

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SQUID (Superconducting QUantum Interference Device) metamaterials, subject to a timeindependent (dc) flux gradient and driven by a sinusoidal (ac) flux field, support chimera states that can be generated with zero initial conditions. The dc flux gradient and the amplitude of the ac flux can control the number of desynchronized clusters of such a generated chimera state (i.e., its "heads") as well as their location and size. The combination of three measures, i.e., the synchronization parameter averaged over the period of the driving flux, the incoherence index, and the chimera index, is used to predict the generation of a chimera state and its multiplicity on the parameter plane of the dc flux gradient and the ac flux amplitude. Moreover, the full-width half-maximum of the distribution of the values of the synchronization parameter averaged over the period of the ac driving flux, allows to distinguish chimera states from non-chimera, partially synchronized states.

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“…Following the first discovery of chimeras for symmetrically coupled Kuramoto identical oscillators in 2002 (17), this counterintuitive symmetry breaking of partially coherent and partially incoherent behavior has received enormous attention. Many recent theoretical works have focused on the study of chimera states in a variety of physical systems such as superconducting metamaterials (18,19,20) quantum systems (21), and laser arrays (22,23), to mention only a few. Chimeras have also been studied in models addressing neuron dynamics in hierarchical and modular networks (24,25).…”

Section: A Predicting Turbulent Chimeras In Coupled Arraysmentioning

confidence: 99%

Machine Learning With Observers Predicts Complex Spatiotemporal Behavior

et al. 2019

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Chimeras and branching are two archetypical complex phenomena that appear in many physical systems; because of their different intrinsic dynamics, they delineate opposite non-trivial limits in the complexity of wave motion and present severe challenges in predicting chaotic and singular behavior in extended physical systems. We report on the long-term forecasting capability of Long Short-Term Memory (LSTM) and reservoir computing (RC) recurrent neural networks, when they are applied to the spatiotemporal evolution of turbulent chimeras in simulated arrays of coupled superconducting quantum interference devices (SQUIDs) or lasers, and branching in the electronic flow of two-dimensional graphene with random potential. We propose a new method in which we assign one LSTM network to each system node except for "observer" nodes which provide continual "ground truth" measurements as input; we refer to this method as "Observer LSTM" (OLSTM). We demonstrate that even a small number of observers greatly improves the data-driven (model-free) long-term forecasting capability of the LSTM networks and provide the framework for a consistent comparison between the RC and LSTM methods. We find that RC requires smaller training datasets than OLSTMs, but the latter require fewer observers. Both methods are benchmarked against Feed-Forward neural networks (FNNs), also trained to make predictions with observers (OFNNs).

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Turbulent chimeras in large semiconductor laser arrays

Cited by 50 publications

References 50 publications

Presence of temporal dynamical instabilities in topological insulator lasers

Presence of temporal dynamical instabilities in topological insulator lasers

Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients

Machine Learning With Observers Predicts Complex Spatiotemporal Behavior

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