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Bibliographic Details
Main Author: Kruchkov, Alexander
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.18942
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author Kruchkov, Alexander
author_facet Kruchkov, Alexander
contents We investigate fundamental bounds on the curvature of quantum correlation functions in imaginary time. Focusing first on topological phases, we show that quantum geometry can qualitatively modify the imaginary-time decay of correlations, leading to nontrivial curvature behavior beyond simple exponential scaling. More generally, we show a universal bound on correlation curvature that holds for interacting systems in thermal equilibrium, and establish connection to leading invariants of the memory-function formalism. Our results identify imaginary-time curvature as a robust probe of intrinsic quantum timescales.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18942
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum correlations curvature, memory functions, and fundamental bounds
Kruchkov, Alexander
Quantum Physics
We investigate fundamental bounds on the curvature of quantum correlation functions in imaginary time. Focusing first on topological phases, we show that quantum geometry can qualitatively modify the imaginary-time decay of correlations, leading to nontrivial curvature behavior beyond simple exponential scaling. More generally, we show a universal bound on correlation curvature that holds for interacting systems in thermal equilibrium, and establish connection to leading invariants of the memory-function formalism. Our results identify imaginary-time curvature as a robust probe of intrinsic quantum timescales.
title Quantum correlations curvature, memory functions, and fundamental bounds
topic Quantum Physics
url https://arxiv.org/abs/2512.18942