Signature candidate of quantum chaos far from the semiclassical regime

TL;DR

This paper investigates quantum signatures of chaos in a coupled kicked top model with spin 1, revealing unique entanglement dynamics that differ from semiclassical expectations and proposing a potential quantum chaos indicator.

Contribution

It introduces a novel quantum signature of classical chaos based on entanglement dynamics and explores its relation to stationary entanglement.

Findings

Entanglement oscillations can be discordant for similar initial states.

A potential inverse relation between entanglement correlation and stationary entanglement.

Distinct entanglement behavior from semiclassical chaos patterns.

Abstract

We numerically investigated the entanglement product in the simplest coupled kicked top model with the spin $j=1$. Different from the dynamical pattern of entanglement in the semiclassical regime, two similar initial states may have discordant entanglement oscillations. A candidate of the quantum signature of this classical chaotic system was proposed. The potential antimonotonic relation between the rank correlation coefficient qualifying the concordant of two entanglement evolutions and the stationary entanglement was preliminarily revealed.