Quantum chaos and macroscopic realism as no-signaling in time

TL;DR

This paper investigates how quantum chaos influences violations of macroscopic realism and no-signaling in time, revealing that chaotic dynamics leave distinct imprints on quantum measurement correlations.

Contribution

It demonstrates the impact of chaotic versus regular dynamics on macrorealism violations and links out-of-time-order correlators to measurement probabilities.

Findings

Chaos affects the degree of macrorealism violation.

Out-of-time-order correlators relate to measurement outcomes.

Chaotic dynamics imprint distinct signatures on quantum correlations.

Abstract

Macroscopic realism is a set of assumptions about how we experience the world at a classical level. While the Leggett-Garg inequalities are temporal correlations that are violated by quantum systems not obeying such macrorealism, the no-signaling in time condition is also a necessary condition. This compares measurement outcomes with and without prior measurements. As dynamics and correlations play a central role in these measures, this paper explores the effects of regular versus chaotic dynamics on the violations of macroscopic realism. We observe a close connection between a 3 point out-of-time-order correlator and the conditional probabilities of measurement, and we find unmistakable imprints of chaos on the violations of macrorealism. We provide qualitative semiclassical reasoning for the numerical results involving a kicked top, and for two important initial states that behave very differently.