Details
| Original language | English |
|---|---|
| Article number | 032803 |
| Journal | Physical Review A |
| Volume | 106 |
| Issue number | 3 |
| Publication status | Published - 3 Sept 2022 |
Abstract
Keywords
- physics.atom-ph, quant-ph
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 106, No. 3, 032803, 03.09.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks
AU - Martinez-Lahuerta, V. J.
AU - Eilers, S.
AU - Mehlstaeubler, T. E.
AU - Schmidt, P. O.
AU - Hammerer, K.
N1 - Funding Information: We acknowledge support from Deutsche Forschungsgemeinschaft (German Research Foundation) under Germany's Excellence Strategy, EXC-2123 QuantumFrontiers, Grant No. 390837967, and Project No. 274200144, SFB 1227 (DQ-mat, Projects No. A05, No. A06, and No. B03). This project received funding from the EMPIR Program cofinanced by the Participating States and from the European Unions Horizon 2020 research and innovation program. This work was supported by the EMPIR Project No. 18SIB05 Robust Optical Clocks for International Timescales. This work was also supported by the Max Planck-RIKEN-PTB-Center for Time, Constants and Fundamental Symmetries. We thank Jan Kiethe and Marius Schulte for comments on early versions of the paper and Philip Schwartz and Domenico Giulini for discussions.
PY - 2022/9/3
Y1 - 2022/9/3
N2 - 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 semi-classical arguments. We complement and clarify recent discussions in the literature on the role of time dilation and mass defect in ion clocks.
AB - 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 semi-classical arguments. We complement and clarify recent discussions in the literature on the role of time dilation and mass defect in ion clocks.
KW - physics.atom-ph
KW - quant-ph
UR - http://www.scopus.com/inward/record.url?scp=85138214395&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.106.032803
DO - 10.1103/PhysRevA.106.032803
M3 - Article
VL - 106
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 3
M1 - 032803
ER -