Thermal Radiation from a Fluctuating Event Horizon

TL;DR

This paper investigates how horizon fluctuations affect thermal radiation from an accelerated two-level quantum system, showing modifications to radiation without changing the associated temperature.

Contribution

It introduces a model for horizon fluctuations using Gaussian noise and calculates their impact on the transition probability of a quantum system near a fluctuating event horizon.

Findings

Horizon fluctuations modify the emitted radiation spectrum.

The temperature related to acceleration remains unaffected by fluctuations.

The transition probability is derived considering light-cone fluctuations.

Abstract

We consider a pointlike two-level system undergoing uniformly accelerated motion. We evaluate the transition probability for a finite time interval of this system coupled to a massless scalar field near a fluctuating event horizon. Horizon fluctuations are modeled using a random noise which generates light-cone fluctuations. We study the case of centered, stationary and Gaussian random processes. The transition probability of the system is obtained from the positive-frequency Wightman function calculated to one loop order in the noise averaging process. Our results show that the fluctuating horizon modifies the thermal radiation but leaves unchanged the temperature associated with the acceleration.