Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole

Abstract

We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime. We first obtain a regulator-free expression for the transition probability in an arbitrary Hadamard state, working within first-order perturbation theory and assuming smooth switching, and we show that both the transition probability and the instantaneous transition rate remain well defined in the sharp switching limit. We then analyse a detector coupled to a massless conformally coupled field in the Hartle-Hawking vacua on the Banados-Teitelboim-Zanelli black hole, under both transparent and reflective boundary conditions at the infinity. A selection of stationary and freely-falling detector trajectories are examined, including the co-rotating trajectories, for which the response is shown to be thermal. Analytic results in a number of asymptotic regimes, including those of large and small mass, are complemented by numerical results in the interpolating regimes. The boundary condition at infinity is seen to have a significant effect on the transition rate.

arXiv comment31 pages, 28 figures. v3: minor corrections and clarifications

References in corpus (21)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• The Unruh effect and its applications
• The (2+1)-Dimensional Black Hole
• How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
• Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
• Transition rate of the Unruh-DeWitt detector in curved spacetime
• Considerations on the Unruh Effect: Causality and Regularization
• Scalar field quantization on the 2+1 dimensional black hole background
• A general worldline quantum inequality
• Mapping Hawking into Unruh Thermal Properties
• Response of finite-time particle detectors in non-inertial frames and curved spacetime
• Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties
• Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
• Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator
• Causal particle detectors and topology
• Equivalence of Hawking and Unruh Temperatures and Entropies Through Flat Space Embeddings
• How often does the Unruh-DeWitt detector click beyond four dimensions?
• Accelerating Branes and Brane Temperature
• Imprints of Spacetime Topology in the Hawking-Unruh Effect
• Odd statistics in odd dimensions for odd couplings

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• Localized non-relativistic quantum systems in curved spacetimes: a general characterization of particle detector models
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• Universality and thermalization in the Unruh Effect
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• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Comments on the anti-Hawking effect on a BTZ black hole spacetime
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• Anti-Hawking Phenomena around a Rotating BTZ Black Hole
• A Little Excitement Across the Horizon
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• Decoding Quantum Field Theory with Machine Learning
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• Schrödinger's Black Hole Cat
• Closed-form expressions for smeared bi-distributions of a massless scalar field: non-perturbative and asymptotic results in relativistic quantum information
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• Hawking radiation inside a Schwarzschild black hole
• The Lamb shift in the BTZ spacetime
• Tunnelling processes for Hadamard states through a 2+1 dimensional black hole and Hawking radiation
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• Localised Systems in Relativistic Quantum Information
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