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Quantum time dilation in atomic spectra

delete2021-04-19
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P
Piotr T. Grochowski *
A
Alexander R. H. Smith
A
Andrzej Dragan
K
Kacper Dębski
DOI:10.1103/PhysRevResearch.3.023053delete
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En 中文
Quantum time dilation occurs when a clock moves in a superposition of relativistic momentum wave packets. The lifetime of an excited hydrogenlike atom can be used as a clock, which we use to demonstrate how quantum time dilation manifests in a spontaneous emission process. The resulting emission rate differs when compared with the emission rate of an atom prepared in a mixture of momentum wave packets at order v(2)/c(2). This effect is accompanied by a quantum correction to the Doppler shift due to the coherence between momentum wave packets. This quantum Doppler shift affects the spectral line shape at order v/c. However, its effect on the decay rate is suppressed when compared with the effect of quantum time dilation. We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
Keyword:
SPONTANEOUS EMISSION
CLOCKS
INTERFEROMETRY
SUPERPOSITION
ENTANGLEMENT
DECOHERENCE
OPTICS
PHASE
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Physical Review Research
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P
Polish Academy of Sciences
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University of Warsaw
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center for theoretical physics - polish academy of sciences
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