Quantum Circuit Model for a Uniformly Accelerated Mirror

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.

13 pages, 6 figures

References in corpus (5)

• The Unruh effect and its applications
• Entangling moving cavities in non-inertial frames
• Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
• (1+1)D Calculation provides evidence that quantum entanglement survives a firewall
• Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes

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• Continuous-variable quantum teleportation with vacuum-entangled Rindler modes
• Shaking photons from the vacuum: acceleration radiation from vibrating atoms
• Virtual transitions in an atom-mirror system in the presence of two scalar photons
• Decoherence of the radiation from an accelerated quantum source
• Classical and quantum field theory in a box with moving boundaries: A numerical study of the Dynamical Casimir Effect
• Particle production and apparent decoherence due to an accelerated time-delay
• Universal Transformation of Displacement Operators and its Application to Homodyne Tomography In Differing Relativistic Reference Frames
• Quantum Simulation of the Unruh Temperature via the Thermal Properties of Virtually Evolving Bose-Einstein Condensates