Synchronization-Induced Limit Cycles and Hysteresis in Spinor Exciton-Polaritons
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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BibTeX
@misc{asgarnezhadzorgabad2026synchronizationinduced,
title = {{Synchronization-Induced Limit Cycles and Hysteresis in Spinor Exciton-Polaritons}},
author = {Saeid Asgarnezhad-Zorgabad and Zahra Jalali-Mola and Vladimir V. Konotop and Daniel Leykam},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29558},
eprint = {2610.29558},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29558},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Synchronization-Induced Limit Cycles and Hysteresis in Spinor Exciton-Polaritons
AU - Saeid Asgarnezhad-Zorgabad
AU - Zahra Jalali-Mola
AU - Vladimir V. Konotop
AU - Daniel Leykam
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29558
UR - https://arxiv.org/abs/2610.29558
AB - 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.
ER -