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This is a Quantitative Study study.

September 19, 2025

Splitting of an exceptional point into nonlinear bifurcation points in non-Hermitian coupled cavities

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The exceptional point splits into bifurcation points due to nonlinear dynamics, enabling complex oscillation behavior.
One bifurcation point indicates a transition between limit-cycle and synchronized oscillations in the coupled cavities.
The presence of gain saturation nonlinearity plays a crucial role in creating these bifurcations within the system.
This work highlights dynamic phenomena in non-Hermitian systems, opening pathways for innovative applications in optoelectronics.

Implication

Analysis reveals the splitting of an exceptional point into bifurcation points in non-Hermitian systems, suggesting oscillatory transitions.

Abstract

We show that an exceptional point of anti-parity-time symmetric coupled cavities split into bifurcation points when the system has a gain saturation nonlinearity. One of the points accompanies a transition between limit-cycle and synchronized oscillations.

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Cite This Study

Uemura et al. (2025) studied this question.

synapsesocial.com/papers/68d464f131b076d99fa644d8 https://doi.org/10.1364/cleo_at.2025.jps100_29

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Implication

Analysis reveals the splitting of an exceptional point into bifurcation points in non-Hermitian systems, suggesting oscillatory transitions.

Splitting of an exceptional point into nonlinear bifurcation points in non-Hermitian coupled cavities

Key Points

Implication

Abstract

Discussion

Cite This Study

Splitting of an exceptional point into nonlinear bifurcation points in non-Hermitian coupled cavities

Key Points

Implication

Abstract

Discussion

Cite This Study

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