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Phase synchronization in dissipative non-Hermitian coupled quantum systems

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Rohn,  Jonas
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Genes,  Claudiu
Genes Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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2111.02201.pdf
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Citation

Rohn, J., Schmidt, K. P., & Genes, C. (2021). Phase synchronization in dissipative non-Hermitian coupled quantum systems. arXiv: 2111.02201.


Cite as: https://hdl.handle.net/21.11116/0000-0009-7B45-0
Abstract
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.