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arXiv 2111.02201quant-ph
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耗散非厄米耦合量子系统的相位同步

Phase synchronization in dissipative non-Hermitian coupled quantum systems

J. Rohn, K. P. Schmidt, C. Genes

摘要:

研究了耦合到辅助模的$\mathcal{N}$玻色子模系统的非厄米动力学和相位同步之间的相互作用。在这样一个系统中的演变的线性允许完全分析结果的同步条件的推导。相比之下,在相动力学的水平上的分析,然后转换到一个集体的基础上,允许一个完整的减少到所有的所有耦合仓本模型与已知的分析解决方案。我们提供了解析和数值解的系统范围从几个模式的宏观极限的大$\mathcal{N}$在存在非均匀频率展宽和测试的鲁棒性相位同步下的外部噪声的作用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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