First appearance of quasiprobability negativity in quantum many-body dynamics

• URL: http://arxiv.org/abs/2601.00259v1
• Date: Thu, 01 Jan 2026 08:25:27 GMT
• Title: First appearance of quasiprobability negativity in quantum many-body dynamics
• Authors: Rohit Kumar Shukla, Amikam Levy,
• Abstract summary: We introduce the emphfirst-time negativity (FTN) of the Margenau-Hill quasiprobability as a dynamical indicator of when local measurement sequences in an interacting quantum system begin to exhibit genuinely nonclassical behavior.<n>FTN discriminates clearly between interaction-dominated and field-dominated regimes, is systematically reshaped by temperature, and responds to sensitively breaking.<n>Our results identify FTN as a practical and experimentally probebility of real-time quantum coherence and contextuality, directly suited to current platforms capable of sequential weak and strong measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quasiprobability distributions capture aspects of quantum dynamics that have no classical counterpart, yet the dynamical emergence of their negativity in many-body systems remains largely unexplored. We introduce the \emph{first-time negativity} (FTN) of the Margenau-Hill quasiprobability as a dynamical indicator of when local measurement sequences in an interacting quantum system begin to exhibit genuinely nonclassical behavior. Using the Ising chain, we show that FTN discriminates clearly between interaction-dominated and field-dominated regimes, is systematically reshaped by temperature, and responds sensitively to the breaking of integrability. When measurements are performed on different sites, FTN reveals a characteristic spatio-temporal structure that reflects the finite-time spreading of operator incompatibility across the lattice. We further compare the numerical onset of negativity with a recently proposed quantum speed limit (QSL) for quasiprobabilities, which provides a geometric benchmark for the observed dynamics. Our results identify FTN as a practical and experimentally accessible probe of real-time quantum coherence and contextuality, directly suited to current platforms capable of sequential weak and strong measurements.

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