Locality and entanglement harvesting in covariantly bandlimited scalar fields
arXiv:2408.01043 · doi:10.1103/PhysRevD.110.105001
Abstract
Considerations of high energies in quantum field theories on smooth manifolds have led to generalized uncertainty principles and the possibility of a physical minimal length in quantum gravitational scenarios. In these models, the minimal length would be a physical limit, not just a mathematical tool, and should be Lorentz invariant. In this paper, we study two-qubit communication and entanglement harvesting in a field subject to a covariant bandlimit (minimum length) and present the changes induced by this bandlimit. We find the bandlimit introduces nonlocality and acausal communication in a manner unlike non-covariant bandlimits or other quantum optical approximations. We also observe that this covariant bandlimit introduces uncertainties in time and temporal ordering with the unusual behavior attributed to the behavior of virtual particles being modified by the covariant cutoff.
arXiv comment20 pages (10 + 10 pages of Appendices). 6 figures. RevTeX 4.2
References in corpus (37)
- Separability Criterion for Density Matrices
- Invariant Variation Problems
- Minimal Length Scale Scenarios for Quantum Gravity
- The warp drive: hyper-fast travel within general relativity
- Entanglement from the vacuum
- Violating Bell's inequalities in the vacuum
- Entangling Power of an Expanding Universe
- Entanglement harvesting from the electromagnetic vacuum with hydrogenlike atoms
- Causality issues of particle detector models in QFT and Quantum Optics
- Casimir forces on atoms in optical cavities
- Entanglement in curved spacetimes and cosmology
- The relativistic quantum channel of communication through field quanta
- A Generalized Shannon Sampling Theorem, Fields at the Planck Scale as Bandlimited Signals
- A detector-based measurement theory for quantum field theory
- Harvesting correlations from thermal and squeezed coherent states
- A Covariant Information-Density Cutoff in Curved Space-Time
- Strong Local Passivity in Finite Quantum Systems
- Entanglement harvesting and divergences in quadratic Unruh-DeWitt detectors pairs
- The BTZ black hole exhibits anti-Hawking phenomena
- Non-perturbative analysis of entanglement harvesting from coherent field states
- Degenerate detectors are unable to harvest spacelike entanglement
- Fundamental limitations to local energy extraction in quantum systems
- Inextendible Schwarzschild black hole with a single exterior: How thermal is the Hawking radiation?
- Bandlimited Entanglement Harvesting
- Engineering negative stress-energy densities with quantum energy teleportation
- Quantum Seismology
- Low energy signatures of nonlocal field theories
- Particle Detectors from Localized Quantum Field Theories
- Faster-than-light signalling in the rotating-wave approximation
- Locality and entanglement in bandlimited quantum field theory
- What makes a particle detector click
- A fully covariant information-theoretic ultraviolet cutoff for scalar fields in expanding FRW spacetimes
- Natural Covariant Planck Scale Cutoffs and the Cosmic Microwave Background Spectrum
- Warp Drive Aerodynamics
- Covariant bandlimitation from Generalized Uncertainty Principles
- Lorentz-covariant sampling theory for fields
- Quantum lattice models that preserve continuous translation symmetry