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

Fuente: arXiv
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Main Authors: Liu, Zhilong, Yang, Run-Qiu, Fan, Heng, Wang, Jieci
Format: Preprint
Published: 2024
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author Liu, Zhilong
Yang, Run-Qiu
Fan, Heng
Wang, Jieci
author_facet Liu, Zhilong
Yang, Run-Qiu
Fan, Heng
Wang, Jieci
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_15695
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulation of the massless Dirac field in 1+1D curved spacetime
Liu, Zhilong
Yang, Run-Qiu
Fan, Heng
Wang, Jieci
General Relativity and Quantum Cosmology
Quantum Physics
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.
title Simulation of the massless Dirac field in 1+1D curved spacetime
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2411.15695