Direct measurement of the two-point function in quantum fields

Abstract

We analyze fast interaction cycles in bipartite quantum systems, showing that the statistics in one of the parties (the detector) can be used to determine the two-point correlator of the observable which mediates the coupling in the other (the target). We apply the results to the response of particle detectors coupled to quantum fields and subject to this kind of interactions. We show that, in principle, such a setup can be used to experimentally obtain a direct evaluation of the Wightman function (both its real and imaginary part) for any field state.

arXiv comment11 pages. RevTeX 4.1

References in corpus (16)

• How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
• Entanglement harvesting from the electromagnetic vacuum with hydrogenlike atoms
• Considerations on the Unruh Effect: Causality and Regularization
• Detectors for probing relativistic quantum physics beyond perturbation theory
• Quantum Measurement Information as a key to Energy Release from Local Vacuums
• Relativistic Quantum Information in Detectors-Field Interactions
• Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
• Time evolution techniques for detectors in relativistic quantum information
• Waiting for Unruh
• Relativistic Quantum Optics: On the relativistic invariance of the light-matter interaction models
• General no-go theorem for entanglement extraction
• Thermalization of particle detectors: The Unruh effect and its reverse
• Non-perturbative analysis of entanglement harvesting from coherent field states
• Degenerate detectors are unable to harvest spacelike entanglement
• Quantum sensors for the generating functional of interacting quantum field theories
• All coherent field states entangle equally

Cited by in corpus (12)

• Quantum imprints of gravitational shockwaves
• Localized non-relativistic quantum systems in curved spacetimes: a general characterization of particle detector models
• The geometry of spacetime from quantum measurements
• Particle Detectors from Localized Quantum Field Theories
• Ambient temperature versus ambient acceleration in the circular motion Unruh effect
• Spacetime curvature from ultra rapid measurements of quantum fields
• Dissipative dynamics of an open quantum battery in the BTZ spacetime
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• Closed-form expressions for smeared bi-distributions of a massless scalar field: non-perturbative and asymptotic results in relativistic quantum information
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Detector-based measurements for QFT: two issues and an AQFT proposal
• Holographic reconstruction of asymptotically flat spacetimes