Unruh effect for detectors in superposition of accelerations

Abstract

The Unruh effect is the phenomenon that accelerated observers detect particles even when inertial observers experience the vacuum state. In particular, uniformly accelerated observers are predicted to measure thermal radiation that is proportional to the acceleration. Here we consider the Unruh effect for a detector that follows a quantum superposition of different accelerated trajectories in Minkowski spacetime. More precisely, we analyse the excitations of a pointlike multilevel particle detector coupled to a massless real scalar field and moving in the superposition of accelerated trajectories. We find that the state of the detector excitations is, in general, not a mere (convex) mixture of the thermal spectrum characteristics of the Unruh effect for each trajectory with well-defined acceleration separately. Rather, for certain trajectories and excitation levels, and upon the measurement of the trajectory state, the state of the detector excitations features in addition off-diagonal terms. The off-diagonal terms of these "superpositions of thermal states" are related to the distinguishability of the different possible states in which the field is left after its interaction with detector's internal degrees of the freedom.

arXiv comment9 pages main text, plus appendices, 4 figures. Presentational changes matching the version to be published

References in corpus (24)

• The Unruh effect and its applications
• Alice falls into a black hole: Entanglement in non-inertial frames
• Entanglement of Dirac fields in non-inertial frames
• Quantum mechanics and the covariance of physical laws in quantum reference frames
• Acceleration-assisted entanglement harvesting and rangefinding
• How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
• Using Berry's phase to detect the Unruh effect at lower accelerations
• Detectors for probing relativistic quantum physics beyond perturbation theory
• 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?
• Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems
• Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
• Quantum correlations through event horizons: Fermionic versus bosonic entanglement
• Quantum decoherence in noninertial frames
• Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
• Unruh-deWitt detectors in quantum superpositions of trajectories
• On Radar Time and the Twin `Paradox'
• On Coherent Delocalization in the Light-Matter Interaction
• Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation
• The accelerated observer with back-reaction effects
• The accelerated observer and quantum effects
• Probing the spacetime structure of vacuum entanglement
• Decoherence of the radiation from an accelerated quantum source
• Finite time measurements by Unruh-DeWitt detector and Landauer's principle

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• Quantum Reference Frames for Lorentz Symmetry
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• Superpositions of thermalisations in relativistic quantum field theory
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• On the Measurement of the Unruh Effect Through Extended Quantum Thermometers
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