Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
Loading...
Access rights
openAccess
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
Date
2024-10-03
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
31
Series
Quantum, Volume 8, pp. 1-31
Abstract
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.Description
Publisher Copyright: © 2024 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved.
Keywords
Other note
Citation
Pranzini, N, García-Pérez, G, Keski-Vakkuri, E & Maniscalco, S 2024, ' Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors ', Quantum, vol. 8, pp. 1-31 . https://doi.org/10.22331/q-2024-10-03-1490