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Main Authors: Ye, Li-Li, Vigne, Nathan, Lin, Fan-Yi, Cao, Hui, Lai, Ying-Cheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.07302
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author Ye, Li-Li
Vigne, Nathan
Lin, Fan-Yi
Cao, Hui
Lai, Ying-Cheng
author_facet Ye, Li-Li
Vigne, Nathan
Lin, Fan-Yi
Cao, Hui
Lai, Ying-Cheng
contents Disorder can profoundly influence synchronization in networks of nonlinear oscillators, sometimes enhancing coherence through external tuning. In semiconductor lasers, however, achieving high-quality steady-state synchronization is desired, while intrinsic and typically uncontrollable disorder poses a major challenge. Under fixed frequency disorder, we investigate homogeneous fully coupled external-cavity semiconductor lasers governed by the complex, time-delayed Lang-Kobayashi equations with experimentally relevant parameters and identify an optimal coupling strength that maximizes steady-state synchronization in the weak-coupling regime, which we term disorder-mediated synchronization resonance. This optimum appears for any fixed configuration of intrinsic frequency detuning and scales inversely with the number of lasers, leading to a linear scaling of the total coupling cost with the number of lasers. A theory based on an effective thermodynamic potential explains this disorder-mediated optimization, revealing a general mechanism by which moderate coupling can overcome static heterogeneity in nonlinear physical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07302
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Disorder-mediated synchronization resonance in coupled semiconductor lasers
Ye, Li-Li
Vigne, Nathan
Lin, Fan-Yi
Cao, Hui
Lai, Ying-Cheng
Optics
Disorder can profoundly influence synchronization in networks of nonlinear oscillators, sometimes enhancing coherence through external tuning. In semiconductor lasers, however, achieving high-quality steady-state synchronization is desired, while intrinsic and typically uncontrollable disorder poses a major challenge. Under fixed frequency disorder, we investigate homogeneous fully coupled external-cavity semiconductor lasers governed by the complex, time-delayed Lang-Kobayashi equations with experimentally relevant parameters and identify an optimal coupling strength that maximizes steady-state synchronization in the weak-coupling regime, which we term disorder-mediated synchronization resonance. This optimum appears for any fixed configuration of intrinsic frequency detuning and scales inversely with the number of lasers, leading to a linear scaling of the total coupling cost with the number of lasers. A theory based on an effective thermodynamic potential explains this disorder-mediated optimization, revealing a general mechanism by which moderate coupling can overcome static heterogeneity in nonlinear physical systems.
title Disorder-mediated synchronization resonance in coupled semiconductor lasers
topic Optics
url https://arxiv.org/abs/2509.07302