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Time-energy uncertainty relation for quantum events

Fadel, Matteo and Maccone, Lorenzo. (2021) Time-energy uncertainty relation for quantum events. Physical Review A, 104 (5). L050204.

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Official URL: https://edoc.unibas.ch/92010/

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Abstract

Textbook quantum mechanics treats time as a classical parameter and not as a quantum observable with an associated Hermitian operator. For this reason, to make sense of usual time-energy uncertainty relations such as ΔtΔE≳ℏ, the term Δt must be interpreted as a time interval and not as a time measurement uncertainty due to quantum noise. However, quantum clocks allow for a measurement of the “time at which an event happens” by conditioning the system's evolution on an additional quantum degree of freedom. Within this framework we derive here two uncertainty relations that relate the uncertainty in the quantum measurement of the time at which a quantum event happens on a system to its energy uncertainty.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Experimentelle Nanophysik (Treutlein)
UniBasel Contributors:Fadel, Matteo
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:2469-9926
e-ISSN:2469-9934
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
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edoc DOI:
Last Modified:01 Feb 2023 09:10
Deposited On:01 Feb 2023 09:10

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