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  Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks

Martinez Lahuerta, V., Eilers, S., Mehlstäubler, T. E., Schmidt, P. O., & Hammerer, K. (2022). Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks. Physical Review A, 106: 032803. doi:10.1103/PhysRevA.106.032803.

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 Creators:
Martinez Lahuerta, Victor1, Author           
Eilers , S.1, Author
Mehlstäubler, T. E., Author
Schmidt, P. O., Author
Hammerer, K.1, Author           
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Physics, Atomic Physics, physics.atom-ph,Quantum Physics, quant-ph
 Abstract: We derive a Hamiltonian for the external and internal dynamics of an
electromagnetically bound, charged two-particle system in external
electromagnetic and gravitational fields, including leading-order relativistic
corrections. We apply this Hamiltonian to describe the relativistic coupling of
the external and internal dynamics of cold ions in Paul traps, including the
effects of micromotion, excess micromotion, and trap imperfections. This
provides a systematic and fully quantum-mechanical treatment of relativistic
frequency shifts in atomic clocks based on single trapped ions. Our approach
reproduces well-known formulas for the second-order Doppler shift for thermal
states, which were previously derived on the basis of semiclassical arguments.
We complement and clarify recent discussions in the literature on the role of
time dilation and mass defect in ion clocks.

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 Dates: 2022-02-222022-09-172022
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2202.10854
DOI: 10.1103/PhysRevA.106.032803
 Degree: -

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Title: Physical Review A
  Other : Physical Review A: Atomic, Molecular, and Optical Physics
  Other : Phys. Rev. A
Source Genre: Journal
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Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 106 Sequence Number: 032803 Start / End Page: - Identifier: ISSN: 1050-2947
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012_2