Quantum time dilation in atomic spectra
- URL: http://arxiv.org/abs/2006.10084v3
- Date: Sun, 7 Mar 2021 15:17:28 GMT
- Title: Quantum time dilation in atomic spectra
- Authors: Piotr T. Grochowski, Alexander R. H. Smith, Andrzej Dragan and Kacper
D\k{e}bski
- Abstract summary: We demonstrate how quantum time dilation manifests in a spontaneous emission process.
The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets.
We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum time dilation occurs when a clock moves in a superposition of
relativistic momentum wave packets. We utilize the lifetime of an excited
hydrogen-like atom as a clock to demonstrate how quantum time dilation
manifests in a spontaneous emission process. The resulting emission rate
differs when compared to 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
to the effect of quantum time dilation. We argue that spectroscopic experiments
offer a technologically feasible platform to explore the effects of quantum
time dilation.
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