A1 Refereed original research article in a scientific journal
Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
Authors: Pranzini, Nicola; García-Pérez, Guillermo; Keski-Vakkuri, Esko; Maniscalco, Sabrina
Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Publication year: 2024
Journal: Quantum
Journal name in source: Quantum
Article number: 1490
Volume: 8
eISSN: 2521-327X
DOI: https://doi.org/10.22331/q-2024-10-03-1490
Web address : https://doi.org/10.22331/q-2024-10-03-1490
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/459287862
Preprint address: https://arxiv.org/abs/2210.13347v1
The Born rule describes the probability of obtaining an outcome when measuring an observable of a quantum system. As it can only be tested by measuring many copies of the system under consideration, it does not hold for non-replicable systems. For these systems, we give a procedure to predict the future statistics of measurement outcomes through Repeated Measurements (RM). This is done by extending the validity of quantum mechanics to those systems admitting no replicas; we prove that if the statistics of the results acquired by performing RM on such systems is sufficiently similar to that obtained by the Born rule, the latter can be used effectively. We apply our framework to a repeatedly measured Unruh-DeWitt detector interacting with a massless scalar quantum field, which is an example of a system (detector) interacting with an uncontrollable environment (field) for which using RM is necessary. Analysing what an observer learns from the RM outcomes, we find a regime where history-dependent RM probabilities are close to the Born ones. Consequently, the latter can be used for all practical purposes. Finally, we numerically study inertial and accelerated detectors, showing that an observer can see the Unruh effect via RM.
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Funding information in the publication:
N.P. acknowledges financial support from the Magnus Ehrnrooth foundation. N.P. and S.M. acknowledge financial support from the Academy of Finland via the Centre of Excellence program (Project No. 336810 and Project No. 336814).
