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Time-energy uncertainty relation for quantum events
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4656947
Author(s) Fadel, Matteo; Maccone, Lorenzo
Author(s) at UniBasel Fadel, Matteo
Year 2021
Title Time-energy uncertainty relation for quantum events
Journal Physical Review A
Volume 104
Number 5
Pages / Article-Number L050204
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.
Publisher American Physical Society
ISSN/ISBN 2469-9926 ; 2469-9934
edoc-URL https://edoc.unibas.ch/92010/
Full Text on edoc Available
Digital Object Identifier DOI 10.1103/PhysRevA.104.L050204
ISI-Number 000744257000007
Document type (ISI) Article
 
   

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