2021/11/03 by J. Rohn, Jonas Rohn, K. P. Schmidt +6
Computer Science · Mathematics · Physics and Astronomy · #Dissipative system #FOS: Physical sciences #Hermitian matrix #Mathematics #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Physics #Quantum #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum mechanics #Robustness (evolution) #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #Transformation (genetics) #quant-ph
paper · pdf · doi:10.48550/arxiv.2111.02201
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arxiv created 2021/11/03 · openalex publication_date 2021/11/03 · arxiv updated 2021/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the interplay between non-Hermitian dynamics and phase synchronization in a system of N bosonic modes coupled to an auxiliary mode. The linearity of the evolution in such a system allows for the derivation of fully analytical results for synchronization conditions. In contrast, analysis at the level of phase dynamics, followed by a transformation to a collective basis allows a complete reduction to an all-to-all coupled Kuramoto model with known analytical solutions. We provide analytical and numerical solutions for systems ranging from a few modes to the macroscopic limit of large N in the presence of inhomogeneous frequency broadening and test the robustness of phase synchronization under the action of external noise.