Lamb shift as a witness for quantum noninertial effects

Abstract

The sustained intense experimental activity around atomic spectroscopy and the resulting high-precision measurements of atomic spectral lines attract interest in Lamb shift as a witness for noninertial effects in quantum systems. We investigate the Lamb shift in a two-level system undergoing uniform circular motion and coupled to a quantum electromagnetic field inside a cavity. We show that when the separation between different cavity modes is large compared to the width of each cavity mode, both the inertial and noninertial contributions to the Lamb shift are convergent. In addition, we find that the purely-noninertial Lamb shift maximizes away from the atomic resonance by an amount decided by the angular frequency of the circulating atom, lending itself to efficient enhancement by a suitable tuning of the cavity parameters. We argue that the noninertial contribution becomes detectable at accelerations $\sim 10^{14}m/{\mathrm{s}}^2$.

arXiv comment12 pages, 3 figures. Presentation improved and explanations added

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• Extensive manipulation of transition rates and substantial population inversion of rotating atoms inside a cavity
• Local Short-Time Acceleration induced Spectral Line Broadening and Possible Implications in Cosmology
• Finite-time Unruh effect: Waiting for the transient effects to fade off