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dc.contributor.author
Khandelwal, Shishir
dc.contributor.author
Lock, Maximilian P.E.
dc.contributor.author
Woods, Mischa P.
dc.date.accessioned
2021-01-25T13:00:15Z
dc.date.available
2020-09-04T19:59:42Z
dc.date.available
2020-09-22T07:55:55Z
dc.date.available
2021-01-25T13:00:15Z
dc.date.issued
2020-08-14
dc.identifier.issn
2521-327X
dc.identifier.other
10.22331/q-2020-08-14-309
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/438559
dc.identifier.doi
10.3929/ethz-b-000438559
dc.description.abstract
The theory of relativity associates a proper time with each moving object via its world line. In quantum theory however, such well-defined trajectories are forbidden. After introducing a general characterisation of quantum clocks, we demonstrate that, in the weak-field, low-velocity limit, all ``good'' quantum clocks experience time dilation as dictated by general relativity when their state of motion is classical (i.e. Gaussian). For nonclassical states of motion, on the other hand, we find that quantum interference effects may give rise to a significant discrepancy between the proper time and the time measured by the clock. The universality of this discrepancy implies that it is not simply a systematic error, but rather a quantum modification to the proper time itself. We also show how the clock's delocalisation leads to a larger uncertainty in the time it measures – a consequence of the unavoidable entanglement between the clock time and its center-of-mass degrees of freedom. We demonstrate how this lost precision can be recovered by performing a measurement of the clock's state of motion alongside its time reading.
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dc.format
application/pdf
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dc.language.iso
en
en_US
dc.publisher
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Universal quantum modifications to general relativistic time dilation in delocalised clocks
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2020
ethz.journal.title
Quantum
ethz.journal.volume
4
en_US
ethz.pages.start
309
en_US
ethz.size
17 p.
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ethz.version.deposit
publishedVersion
en_US
ethz.grant
The resource of time in quantum information theory
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Wien
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
ethz.grant.agreementno
179914
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
Ambizione
ethz.relation.isNewVersionOf
20.500.11850/391633
ethz.date.deposited
2020-09-04T19:59:54Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
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ethz.rosetta.installDate
2020-09-22T07:56:09Z
ethz.rosetta.lastUpdated
2021-02-15T23:32:36Z
ethz.rosetta.exportRequired
true
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true
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