A Little Excitement Across the Horizon

Abstract

We analyse numerically the transitions in an Unruh-DeWitt detector, coupled linearly to a massless scalar field, in radial infall in (3+1)-dimensional Schwarzschild spacetime. In the Hartle-Hawking and Unruh states, the transition probability attains a small local extremum near the horizon-crossing and is then moderately enhanced on approaching the singularity. In the Boulware state, the transition probability drops on approaching the horizon. The unexpected near-horizon extremum arises numerically from angular momentum superpositions, with a deeper physical explanation to be found.

11 pages, 7 figures. v4: Presentational expansion and reorganisation

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• Onset and decay of the 1+1 Hawking-Unruh effect: what the derivative-coupling detector saw
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Cited by in corpus (10)

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• Harvesting Fermionic Field Entanglement in Schwarzschild Spacetime
• Accelerated detector in a superposed spacetime
• Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps
• Vacua in locally de Sitter cosmologies, and how to distinguish them
• Deep in the knotted black hole
• Expansion-sensitive coupling of a local quantum system in de Sitter cosmology