Identifying and anticipating the threshold bifurcation of a complex laser with permutation entropy
arXiv:2508.01000 · doi:10.1103/8lhf-51kv
Abstract
The permutation entropy (PE) is a statistical indicator that allows to quantify the complexity of a signal. Here we show that it is able to {identify and anticipate} the threshold bifurcation of a complex laser, where thousands of modes compete for gain at the onset of lasing. In our experimental setup, the cavity roundtrip time is several orders of magnitude longer than the temporal resolution of the detection system, which enables a high statistical sampling of the intensity dynamics per roundtrip. We show that the permutation entropy experiences a clear decrease far below the threshold and reaches a sharp minimum at the threshold bifurcation point, which reveals an abrupt increase of the temporal correlations. The evolution of the entropy is compared with standard quantifiers of approaching bifurcations. While lag-1 autocorrelation gradually grows as the threshold is approached, PE shows a steep decrease that captures the emergence of nonlinear correlations and thus, it allows a clearer identification of the threshold.
arXiv comment6 pages, 5 figures
References in corpus (16)
- Roadmap on spatiotemporal light fields
- Complex Lasers with Controllable Coherence
- Observation of grand-canonical number statistics in a photon Bose-Einstein condensate
- Complexity-Entropy Causality Plane as a Complexity Measure for Two-dimensional Patterns
- No evidence for critical slowing down prior to human epileptic seizures
- Unveiling temporal correlations characteristic to phase transition in the intensity of a fibre laser radiation
- 20 years of ordinal patterns: Perspectives and challenges
- Quantifying sudden changes in dynamical systems using symbolic networks
- Testing Critical Slowing Down as a Bifurcation Indicator in a Low-dissipation Dynamical System
- Superthermal light emission and nontrivial photon statistics in small lasers
- Controlling nonlinear interaction in a many-mode laser by tuning disorder
- Time-series-analysis-based detection of critical transitions in real-world non-autonomous systems
- Evidence of a critical phase transition in a purely temporal dynamics with long-delayed feedback
- Fluctuation-dissipation relation for a Bose-Einstein condensate of photons
- Coherence build up and laser thresholds from nanolasers to macroscopic lasers
- Spontaneous phase locking in a broad-area semiconductor laser