aiqbench takeQuantum Computing

This research proposes a novel method to characterize quantum many-body systems by using engineered environments as probes for renormalization group flow analysis. By mapping spatial correlations onto dynamical evolution, the study offers an efficient pathway to identify fixed points and infer scaling dimensions in complex quantum models. This advancement directly contributes to our understanding of fundamental quantum dynamics rather than addressing commercial AI applications or classical computing infrastructure.

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Open system probes of renormalization group flow

arXivAugust 17, 20261 min read

arXiv:2608.13664v1 Announce Type: new Abstract: 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.

Abstract: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.

Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)

arXiv:2608.13664 [quant-ph]

(or arXiv:2608.13664v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.13664 arXiv-issued DOI via DataCite (pending registration)

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