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February 10, 2026Open Access

ENTROPIX- MESA Rigorous UV Completion and Stability of Soft Regulated Entanglement Entropy in Non Markovian Flows

Key Points

The aim is to establish a rigorous UV completion for entanglement entropy in open quantum systems.
Employs Gaussian soft regulators for entanglement entropy calculations.
Resolves the relationship between quadratic and stability coefficients.
Implements a formal renormalization subtraction scheme to eliminate UV divergences.
Extends analysis to non-Markovian regimes using established frameworks.
Demonstrates stability with the relationship γ² ≈ 2|b|.
Yields a finite correction to entanglement entropy as ∆S ∝ ϵ².
Shows regulation suppresses transient negativity in entropy production rates.
Numerical tests in 1D harmonic chains indicate an 81.4% variance reduction.

Abstract

Weprovide a rigorous UV completion for entanglement entropy in open quantum systemsusing Gaussian soft regulators. We resolve the previous conflation between the quadraticcoefficient b and the stability coefficient γ, proving that γ2 ≈ 2|b|. By employing a formal renormalization subtraction scheme, we eliminate UV divergences in the entanglementintegral, yielding a finite correction ∆S ∝ ϵ2. We extend this to non Markovian regimes(Redfield and Hu-Paz-Zhang), demonstrating that regulation bounds anomalous diffusionand suppresses transient negativity in entropy production rates. Numerical verification in1D harmonic chains confirms a variance reduction of 81.4%

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