Cavities in curved spacetimes: the response of particle detectors

Abstract

We introduce a method to compute particle detector transition probability in spacetime regions of general curved spacetimes provided that the curvature is not above a maximum threshold. In particular we use this method to compare the response of two detectors, one in a spherically symmetric gravitational field and the other one in Rindler spacetime to compare the Unruh and Hawking effects: We study the vacuum response of a detector freely falling through a stationary cavity in a Schwarzschild background as compared with the response of an equivalently accelerated detector traveling through an inertial cavity in the absence of curvature. We find that as we set the cavity in further radiuses from the black hole, the thermal radiation measured by the detector approaches the quantity recorded by the detector in Rindler background showing in which way and at what scales the equivalent principle is recovered in the Hawking-Unruh effect. I.e. when the Hawking effect in a Schwarzschild background becomes equivalent to the Unruh effect in Rindler spacetime.

7 pages, 5 figures. RevTex 4.1

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• Landauer's principle in Qubit-Cavity quantum field theory Interaction in Vacuum and Thermal States
• Measuring motion through relativistic quantum effects
• More Excitement Across the Horizon
• Particle Detectors, Cavities, and the Weak Equivalence Principle
• Probing geometric information using the Unruh effect in the vacuum
• Measuring acceleration using the Purcell effect
• A new study of the Unruh effect
• Particle detectors under chronological hazard
• Deep in the knotted black hole
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• Hawking and Unruh radiation perception by different observers: applications of the effective temperature function (in Spanish)