The stress-energy tensor of an Unruh-DeWitt detector
arXiv:2411.09732 · doi:10.1103/PhysRevD.111.045004
Abstract
We propose a model for a finite-size particle detector, which allows us to derive its stress-energy tensor. This tensor is obtained from a covariant Lagrangian that describes not only the quantum field that models the detector, , but also the systems responsible for its localization: a complex scalar field, , and a perfect fluid. The local interaction between the detector and the complex field ensures the square integrability of the detector modes, while the fluid serves to define the spatial profile of , localizing it in space. We then demonstrate that, under very general conditions, the resulting energy tensor -- incorporating all components of the system -- is physically reasonable and satisfies the energy conditions.
arXiv comment11 pages, 7 figures, revtex 4.2
References in corpus (40)
- Action functionals for relativistic perfect fluids
- Violating Bell's inequalities in the vacuum
- Harvesting correlations from the quantum vacuum
- Acceleration-assisted entanglement harvesting and rangefinding
- Entanglement harvesting from the electromagnetic vacuum with hydrogenlike atoms
- Wavepacket detection with the Unruh-DeWitt model
- Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
- Spontaneous scalarization
- Quantum Measurement Information as a key to Energy Release from Local Vacuums
- Causality issues of particle detector models in QFT and Quantum Optics
- Quantum delocalization, gauge and quantum optics: The light-matter interaction in relativistic quantum information
- General Relativistic Quantum Optics: Finite-size particle detector models in curved spacetimes
- Information transmission without energy exchange
- Entangling detectors in anti-de Sitter space
- Quantum Energy Teleportation without Limit of Distance
- A detector-based measurement theory for quantum field theory
- Broken covariance of particle detector models in relativistic quantum information
- Violation of the strong Huygen's principle and timelike signals from the early Universe
- Awaking the vacuum in relativistic stars
- Entanglement amplification between superposed detectors in flat and curved spacetimes
- The vacuum revealed: the final state of vacuum instabilities in compact stars
- Perfect fluid Lagrangian and its cosmological implications in theories of gravity with nonminimally coupled matter fields
- Relativistic causality in particle detector models: Faster-than-light signalling and "Impossible measurements"
- Degenerate detectors are unable to harvest spacelike entanglement
- Experimental Activation of Strong Local Passive States with Quantum Information
- Long-range entanglement in the Dirac vacuum
- Neutrino flavor oscillations without flavor states
- Timelike information broadcasting in cosmology
- Bandlimited Entanglement Harvesting
- Gravity-induced vacuum dominance
- Engineering negative stress-energy densities with quantum energy teleportation
- Fully Relativistic Entanglement Harvesting
- Particle Detectors from Localized Quantum Field Theories
- Particle creation due to tachyonic instability in relativistic stars
- vs : Gauge invariance in quantum optics
- Superadditivity of channel capacity through quantum fields
- Causality and signalling in non-compact detector-field interactions
- An angular momentum based graviton detector
- Quantization of unstable linear scalar fields in static spacetimes
- Quantum Approach to Bound States in Field Theory