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arXiv · 2610.29558

Synchronization-Induced Limit Cycles and Hysteresis in Spinor Exciton-Polaritons

Saeid Asgarnezhad-Zorgabad·Zahra Jalali-Mola·Vladimir V. Konotop·Daniel Leykam
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Abstract

We study the nonlinear dynamics of spinor exciton-polaritons in resonantly pumped microcavities. Using steady-state analysis and computing eigenfrequencies via Bogoliubov-like linearization, we show that multiple Hopf bifurcations beyond conventional bistability occur within specific power regimes and are not associated with stable solutions of the system. Owing to nonlinear excitonic interactions, these transitions occur at different pump powers during forward and backward pump sweeps, leading to pronounced hysteresis between fixed-point and limit-cycle states. In the spinor regime, multiple limit-cycle branches and associated dynamical hysteresis loops emerge due to the interplay of polarization coupling and spin-dependent nonlinearities. We show how the locations of the bifurcation points can be tuned by the pump frequency and other system parameters. Our results identify synchronization as the organizing principle underlying limit-cycle formation, dynamical hysteresis, and bifurcation cascades in driven spinor exciton-polariton microcavities.

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Saeid Asgarnezhad-Zorgabad, Zahra Jalali-Mola, Vladimir V. Konotop, Daniel Leykam. 2026-10-21. Synchronization-Induced Limit Cycles and Hysteresis in Spinor Exciton-Polaritons. https://arxiv.org/abs/2610.29558

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