Simulation of the massless Dirac field in 1+1D curved spacetime

TL;DR

This paper presents a new quantum simulation method for the massless Dirac field in 1+1D curved spacetime, enabling exploration of different observer perspectives and phenomena like Hawking radiation and spacetime topology transitions.

Contribution

The authors introduce a novel approach to map the massless Dirac equation in 1+1D curved spacetime onto a controllable quantum simulation model, allowing for versatile studies of quantum fields in curved backgrounds.

Findings

Numerical simulations of Simpson spacetime match theoretical Hawking radiation predictions.

The method captures the transition from a regular black hole to a wormhole as parameter 'a' exceeds 'r_s'.

Simulation results align with theoretical expectations for tunneling rates in different coordinates.

Abstract

Simulating the nature of quantum fields in diverse spacetime backgrounds offers valuable insights for the fundamental comprehension of quantum mechanics and general relativity. Here we introduce a novel method for mapping the massless Dirac equation in 1+1D curved spacetime to a controllable quantum simulation model, applicable to various observers' perspectives. We perform numerical simulations of Simpson spacetime and calculate tunneling rates in Painleve and Schwarzschild coordinates, which align closely with theoretical predictions of Hawking radiation. Additionally, we show the transition of Simpson spacetime from a regular black hole to a wormhole as the parameter $"a > r_s"$. This method facilitates the study of spacetime from various coordinate perspectives (observers), providing deeper insights and understanding.