Publikation: Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators
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2024
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Swiss National Science Foundation: CRSII5_206008/1
Swiss National Science Foundation: PP00P2_163818
Deutsche Forschungsgemeinschaft (DFG): 449653034
Deutsche Forschungsgemeinschaft (DFG): SFB1432
Swiss National Science Foundation: PP00P2_163818
Deutsche Forschungsgemeinschaft (DFG): 449653034
Deutsche Forschungsgemeinschaft (DFG): SFB1432
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Physical Review E. American Physical Society (APS). 2024, 109(6), 064308. ISSN 2470-0045. eISSN 2470-0053. Verfügbar unter: doi: 10.1103/physreve.109.064308
Zusammenfassung
Networks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of coexisting stationary states. The plethora of states manifest via a series of bifurcations, including bifurcations that proliferate purely unstable solutions. Here we demonstrate that the latter take a fundamental role in the stochastic dynamics of the system. Specifically, they determine the switching paths and the switching rates between stable solutions. We demonstrate experimentally the impact of the added unstable states on noise-activated switching dynamics in a network of two coupled parametric resonators.
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HEUGEL, Toni L., Ramasubramanian CHITRA, Alexander EICHLER, Oded ZILBERBERG, 2024. Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators. In: Physical Review E. American Physical Society (APS). 2024, 109(6), 064308. ISSN 2470-0045. eISSN 2470-0053. Verfügbar unter: doi: 10.1103/physreve.109.064308BibTex
@article{Heugel2024Proli-70328,
title={Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators},
year={2024},
doi={10.1103/physreve.109.064308},
number={6},
volume={109},
issn={2470-0045},
journal={Physical Review E},
author={Heugel, Toni L. and Chitra, Ramasubramanian and Eichler, Alexander and Zilberberg, Oded},
note={Article Number: 064308}
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<dcterms:abstract>Networks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of coexisting stationary states. The plethora of states manifest via a series of bifurcations, including bifurcations that proliferate purely unstable solutions. Here we demonstrate that the latter take a fundamental role in the stochastic dynamics of the system. Specifically, they determine the switching paths and the switching rates between stable solutions. We demonstrate experimentally the impact of the added unstable states on noise-activated switching dynamics in a network of two coupled parametric resonators.</dcterms:abstract>
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