Quantum correlations curvature, memory functions, and fundamental bounds

• URL: http://arxiv.org/abs/2512.18942v1
• Date: Mon, 22 Dec 2025 01:33:11 GMT
• Title: Quantum correlations curvature, memory functions, and fundamental bounds
• Authors: Alexander Kruchkov,
• Abstract summary: We show that quantum geometry can qualitatively modify the imaginary-time decay of correlations, leading to nontrivial curvature behavior.<n>More generally, we show a universal bound on correlation curvature that holds for interacting systems in thermal equilibrium.
• Score: 51.85131234265026
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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