Effects of quantum geometry on the decoherence induced by black holes

Abstract

Recently, it has been shown that a quantum system held in spatial superposition and then eventually recombined does experience decoherence from black hole horizons, at a level increasing linearly with the time the superposition has been kept open. In this, the effects of the horizon have been derived using a classical spacetime picture for the latter. In the present note we point out that quantum aspects of the geometry itself of the quantum black hole could significantly affect the results. In a specific effective implementation of the quantum geometry in terms of a minimal length and ensuing minimal area, it appears in particular that, for selected values of the quantum of area proposed on various grounds in the literature, the decoherence induced by the horizon turns out to be limited to negligibly small values.

arXiv comment5 pages, 1 figure. v2: The text has been updated with minor changes to bring it into line with the published version; updated some references, extended the discussion on the assumption of a minimal length

References in corpus (35)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Quantum gravity and minimum length
• Quantum Geometry and Black Hole Entropy
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• The physical interpretation of the spectrum of black hole quasinormal modes
• Quantum Superposition of Massive Objects and the Quantization of Gravity
• Effective Field Theory Approach to Gravitationally Induced Decoherence
• Gravitational Decoherence
• A Master Equation for Gravitational Decoherence: Probing the Textures of Spacetime
• Spacetime foam as a quantum thermal bath
• Locality in quantum gravity and string theory
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Decoherence, discord and the quantum master equation for cosmological perturbations
• Quantum gravitational decoherence of light and matter
• Observational constraints on quantum decoherence during inflation
• Minimal Length and Small Scale Structure of Spacetime
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Experiments testing macroscopic quantum superpositions must be slow
• Grin of the Cheshire cat: Entropy density of spacetime as a relic from quantum gravity
• Two-slit diffraction with highly charged particles: Niels Bohr's consistency argument that the electromagnetic field must be quantized
• Benchmarking the cosmological master equations
• Killing Horizons Decohere Quantum Superpositions
• Distribution function of the Atoms of Spacetime and the Nature of Gravity
• Small scale structure of spacetime: van Vleck determinant and equi-geodesic surfaces
• Flux-area operator and black hole entropy
• Black holes, information and decoherence
• Quantum Decoherence in a Four-Dimensional Black Hole Background
• Gravitational decoherence of photons
• Local Description of Decoherence of Quantum Superpositions by Black Holes and Other Bodies
• Decoherence by warm horizons
• Quantum metric for null separated events and spacetime atoms
• Understanding gravitationally induced decoherence parameters in neutrino oscillations using a microscopic quantum mechanical model
• A gravitationally induced decoherence model using Ashtekar variables
• Quantum Transparency of Near-extremal Black Holes
• Gravitationally induced decoherence of a scalar field: investigating the one-particle sector and its interplay with renormalisation