Fisher Information of a Black Hole Spacetime
arXiv:2207.12226 · doi:10.1007/JHEP06(2023)214
Abstract
Relativistic quantum metrology is the study of optimal measurement procedures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar field as probes of thermal parameters in different spacetimes via a relativistic quantum metrology analysis. We consider both (2+1)-dimensional anti-de Sitter and BTZ black hole spacetimes. We compute the Fisher information to identify characteristics of the black hole spacetime and to compare it to a uniformly accelerating detector in anti-de Sitter space. We find the dependence of the Fisher information on temperature, detector energy gap, black hole mass, interaction time, and the initial state of the detector. We identify strategies that maximize the Fisher information and therefore the precision of estimation.
arXiv comment23 pages, 8 figures
References in corpus (33)
- Advances in Quantum Metrology
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- A short introduction to the Lindblad Master Equation
- First Long-Term Application of Squeezed States of Light in a Gravitational-Wave Observatory
- Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
- Optimal quantum estimation of the Unruh-Hawking effect
- Transition rate of the Unruh-DeWitt detector in curved spacetime
- Spacetime structure and vacuum entanglement
- Scalar field quantization on the 2+1 dimensional black hole background
- Quantum Metrology with Indefinite Causal Order
- Introduction to quantum Fisher information
- Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies
- General Relativistic Quantum Optics: Finite-size particle detector models in curved spacetimes
- Causal particle detectors and topology
- Quantum estimation of the Schwarzschild space-time parameters of the Earth
- Relativistic Quantum Optics: On the relativistic invariance of the light-matter interaction models
- Relativistic Quantum Metrology in Open System Dynamics
- Non-Markovian time evolution of an accelerated qubit
- The BTZ black hole exhibits anti-Hawking phenomena
- Rotating Gauss-Bonnet BTZ Black Holes
- Quantum imprints of gravitational shockwaves
- Parameter estimation for an expanding universe
- Interaction of a Bose-Einstein condensate with a gravitational wave
- Looking Inside a Black Hole
- Effective master equations for two accelerated qubits
- Hawking radiation for Dirac spinors on the RP^3 geon
- Bose-Einstein Condensates as Gravitational Wave Detectors
- Entanglement Harvesting with a Twist
- Fisher information as a probe of spacetime structure: Relativistic quantum metrology in (A)dS
- On the response of a particle detector in Anti-de Sitter spacetime
- Quantum estimation in an expanding spacetime
- Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect
- Gravitational time dilation as a resource in quantum sensing
Cited by in corpus (9)
- Dissipative dynamics of an open quantum battery in the BTZ spacetime
- Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
- Quantifying Quantumness in (A)dS spacetimes with Unruh-DeWitt Detector
- Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
- Reliable quantum master equation of the Unruh-DeWitt detector
- Relative entropy formulation of thermalization process in a Schwarzschild spacetime
- Memory Effects and Entanglement Dynamics of Finite time Acceleration
- Quantum Parameter Estimation for Detectors in Constantly Accelerated Motion
- Thermal Fisher information for a rotating BTZ black hole