Second-quantized Unruh-DeWitt detectors and their quantum reference frame transformations

Abstract

We generalize the Unruh-DeWitt detector model to second quantization. We illustrate this model by applying it to an excited particle in a superposition of relativistic velocities. We calculate, to first order, how its decay depends on whether its superposition of velocities is coherent or incoherent. Further, we generalize the framework of quantum reference frames to allow transformations to the rest frames of second-quantized Unruh DeWitt detectors. As an application, we show how to transform into the rest frame of a decaying particle that, in the laboratory frame, is in a linear superposition of relativistically differing velocities.

Close to the published version. 14 pages + 3 pages Appendices

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• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Enhanced anti-Unruh effect by simulated light-matter interactions
• Algebraic properties of quantum reference frames: Does time fluctuate?
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Thermality and athermality in the Unruh effect
• A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
• Quantum Galilei group as quantum reference frame transformations
• Back-action from inertial and non-inertial Unruh-DeWitt detectors revisited in covariant perturbation theory
• Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
• Entanglement is protected by acceleration-induced transparency in thermal field
• Large effects from quantum reference frames