Quantum Circuit Model for a Uniformly Accelerated Mirror

TL;DR

This paper introduces a non-perturbative quantum circuit model for a uniformly accelerated mirror, enabling analysis of radiation and squeezing effects, with implications for black hole firewall formation.

Contribution

It develops a novel quantum circuit approach for accelerated mirrors with variable reflectivity, extending beyond perfect mirrors and providing insights into radiation and horizon correlations.

Findings

Finite particle flux along the past horizon with regularization.

Radiation from the accelerated mirror is squeezed.

Formalism suggests implications for black hole firewall formation.

Abstract

We develop a quantum circuit model describing unitary interactions between quantum fields and a uniformly accelerated object, and apply it to a semi-transparent mirror which uniformly accelerates in the Minkowski vacuum. The reflection coefficient $R_{\omega}$ of the mirror varies between 0 and 1, representing a generalization of the perfect mirror ($R_{\omega}=1$) discussed extensively in the literature. Our method is non-perturbative, not requiring $R_{\omega} \sim 0$. We use the circuit model to calculate the radiation from an eternally accelerated mirror and obtain a finite particle flux along the past horizon provided an appropriate low frequency regularization is introduced. More importantly, it is straightforward to see from our formalism that the radiation is squeezed. The squeezing is closely related to cutting the correlation across the horizon, which therefore may have important implications to the formation of a black hole firewall.