Anti-Hawking Phenomena around a Rotating BTZ Black Hole

Abstract

In both flat and curved spacetimes, there are weak and strong versions of the anti-Unruh/anti-Hawking effects, in which the KMS field temperature is anti-correlated with the response of a detector and its inferred temperature. We investigate for the first time the effects on the weak and strong anti-Hawking effects for an Unruh-DeWitt detector orbiting a BTZ black hole in the co-rotating frame. We find that rotation can significantly amplify the strength of the weak anti-Hawking effect, whereas it can either amplify or reduce the strength of the strong anti-Hawking effect depending on boundary conditions. For the strong anti-Hawking effect, we find a non-monotonic relationship between the angular momentum and detector temperature for each boundary condition. In addition, we note that the weak anti-Hawking effect is independent of a changing AdS length, while a longer AdS length increases the temperature range of the strong anti-Hawking effect.

arXiv comment10 pages, 7 figures

References in corpus (34)

• The Black Hole in Three Dimensional Space Time
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Entangling Power of an Expanding Universe
• Wavepacket detection with the Unruh-DeWitt model
• Spacetime structure and vacuum entanglement
• Scalar field quantization on the 2+1 dimensional black hole background
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Two-Dimensional Dilatonic Black Holes and Hawking Radiation
• Harvesting Entanglement from the Black Hole Vacuum
• Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
• Relativistic Quantum Information in Detectors-Field Interactions
• Waiting for Unruh
• Harvesting correlations in Schwarzschild and collapsing shell spacetimes
• Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes
• Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole
• Static detectors and circular-geodesic detectors on the Schwarzschild black hole
• On classical super-radiance in Kerr-Newman-anti-de Sitter black holes
• Anti-Unruh Phenomena
• Unruh-DeWitt detector response along static and circular geodesic trajectories for Schwarzschild-AdS black holes
• Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
• Thermalization of particle detectors: The Unruh effect and its reverse
• Influence of the back reaction of the Hawking radiation upon black hole quasinormal modes
• Bulk emission of scalars by a rotating black hole
• Entanglement Dynamics between Inertial and Non-uniformly Accelerated Detectors
• The BTZ black hole exhibits anti-Hawking phenomena
• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Looking Inside a Black Hole
• Divergence of a quantum thermal state on Kerr space-time
• Ground state for a massive scalar field in BTZ spacetime with Robin boundary conditions
• Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy
• Over the horizon: distinguishing the Schwarzschild spacetime and the ${\mathbb{RP}}^3$ spacetime using an Unruh-DeWitt detector
• Comments on the anti-Hawking effect on a BTZ black hole spacetime
• Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect
• Vacuum effects in an asymptotically uniformly accelerated frame with a constant magnetic field

Cited by in corpus (10)

• Quantum signatures of black hole mass superpositions
• Circular motion analogue Unruh effect in a $2+1$ thermal bath: Robbing from the rich and giving to the poor
• Dissipative dynamics of an open quantum battery in the BTZ spacetime
• Mutual information harvested by uniformly accelerated particle detectors
• Response of an Unruh-DeWitt detector near an extremal black hole
• The Lamb shift in the BTZ spacetime
• Gravity-induced transparency
• Notes on solution phase space and BTZ black hole
• Thermal Fisher information for a rotating BTZ black hole
• Physical significance of generalized boundary conditions: an Unruh-DeWitt detector viewpoint on ${\text{AdS}}_2\times {\mathbb{S}}^2$