On the nonclassicality in quantum JT gravity

TL;DR

This paper investigates the quantum versus classical nature of two-dimensional black hole models by analyzing the Wigner function and Fisher information in Morse quantum mechanics, providing insights into nonclassical features.

Contribution

It introduces a method to quantify nonclassicality in quantum gravity models using phase space tools like the Wigner function and Fisher information.

Findings

Wigner function reveals quantum features of the model.

Fisher information quantifies the degree of nonclassicality.

Results suggest specific signatures distinguishing quantum from classical regimes.

Abstract

In this note, we consider the question of classicality for the theory which is known to be the effective description of two-dimensional black holes - the Morse quantum mechanics. We calculate the Wigner function and the Fisher information characterizing classicality/quantumness of single-particle systems and briefly discuss further directions to study.