Abstract
We develop a quantum circuit model describing unitary interactions between quantum fields and a uniformly accelerated object in two spacetime dimensions, and apply it to a semi-transparent mirror that uniformly accelerates in the Minkowski vacuum. Our method is nonperturbative and valid for mirrors with arbitrary reflection coefficient . 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. In addition, it is straightforward to see from our formalism that the radiation is locally squeezed. The local squeezing is closely related to cutting correlations across the horizon, which therefore may have important implications for the formation of a black hole firewall.
Highlights
It has been well known since the 1970s that a moving mirror can radiate particles [1, 2]
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
We develop a quantum circuit model to describe unitary interactions between quantum fields and a uniformly accelerated object
Summary
It has been well known since the 1970s that a moving mirror can radiate particles [1, 2]. We develop a quantum circuit model to describe unitary interactions between quantum fields and a uniformly accelerated object (such as a mirror, cavity, squeezer etc.). For the eternally accelerated mirror, the radiation flux in a localized wave packet mode is divergent We can regularize this infrared divergence by introducing a lowfrequency cutoff for the mirror, which means the mirror is transparent for the low-frequency field modes (to some extent, this is physically equivalent to having the mirror interact with the field for a finite period of time). II, we briefly review the relations between Rindler modes and Unruh modes
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