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重整化群流的开放系统探针

Open system probes of renormalization group flow

Andrew Keefe, Brenden Bowen, Saptarshi Biswas, Albion Lawrence, Nishant Agarwal, Archana Kamal

arXiv 2608.13664首次发表:更新:

AI 中文总结

该研究提出利用耦合横场伊辛模型的量子比特作为开放系统探针,通过非马尔可夫速率或谱流识别重整化群不动点、推断标度维度,实现对量子多体系统的表征。

AI 中文摘要

开放系统探针可作为工程化环境,为表征量子多体系统提供高效手段,核心思路是将环境的长程空间关联映射为简单量子探针演化中的动力学关联。以耦合横场伊辛模型的量子比特为例,我们展示非马尔可夫速率或谱流如何用于识别稳定与不稳定不动点、推断相关场的标度维度,以及推导任意不动点附近形变诱导的重整化群流。

英文摘要

Open system probes can provide an efficient means to characterize quantum many-body systems by employing them as engineered environments. The key idea is to map long-range spatial correlations of the environment onto dynamical correlations in the evolution of a simple quantum probe. Using the example of a qubit coupled to a transverse-field Ising model, we show how the non-Markovian rate or spectral flow can be used to identify stable and unstable fixed points, infer scaling dimensions of relevant fields, and deduce the renormalization group flow induced by deformations around any fixed point.

Comments18 pages, 5 figures

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