A time-frequency approach to relativistic correlations in quantum field theory
arXiv:1906.01608 · doi:10.1103/PhysRevD.100.045016
Abstract
Moving detectors in relativistic quantum field theories reveal the fundamental entangled structure of the vacuum which manifests, for instance, through its thermal character when probed by a uniformly accelerated detector. In this paper, we propose a general formalism inspired both from signal processing and correlation functions of quantum optics to analyze the response of point-like detectors following a generic, non-stationary trajectory. In this context, the Wigner representation of the first-order correlation of the quantum field is a natural time-frequency tool to understand single-detection events. This framework offers a synthetic perspective on the problem of detection in relativistic theory and allows us to analyze various non-stationary situations (adiabatic, periodic) and how excitations and superpositions are deformed by motion. It opens up interesting perspective on the issue of the definition of particles.
arXiv comment22 pages, 12 figures
References in corpus (22)
- Alice falls into a black hole: Entanglement in non-inertial frames
- Notes on Some Entanglement Properties of Quantum Field Theory
- Electron quantum optics in ballistic chiral conductors
- How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
- Considerations on the Unruh Effect: Causality and Regularization
- Minimal conditions for the existence of a Hawking-like flux
- Response of finite-time particle detectors in non-inertial frames and curved spacetime
- Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
- Entanglement measures and their properties in quantum field theory
- Wigner function approach to single electron coherence in quantum Hall edge channels
- Causal particle detectors and topology
- Waiting for Unruh
- Electron quantum optics as quantum signal processing
- Probes of the vacuum structure of quantum fields in classical backgrounds
- Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
- Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
- Local Temperature in Curved Spacetime
- Response of Unruh-DeWitt detector with time-dependent acceleration
- Unruh Effect for General Trajectories
- Unruh Effect and the Concept of Temperature
- Inertial non-vacuum states viewed from the Rindler frame
- Decoherence of the radiation from an accelerated quantum source