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arXiv · 2111.02201

Phase synchronization in dissipative non-Hermitian coupled quantum systems

J. Rohn·K. P. Schmidt·C. Genes
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Abstract

We study the interplay between non-Hermitian dynamics and phase synchronization in a system of $\mathcal{N}$ 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 $\mathcal{N}$ in the presence of inhomogeneous frequency broadening and test the robustness of phase synchronization under the action of external noise.

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J. Rohn, K. P. Schmidt, C. Genes. 2021-11-03. Phase synchronization in dissipative non-Hermitian coupled quantum systems. https://arxiv.org/abs/2111.02201

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