Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks
Autor(in); Institution
Martínez-Lahuerta, V. J.; Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), GERMANY; Leibniz University Hannover, Hannover, GERMANY
Eilers, S.; Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), GERMANY; Leibniz University Hannover, Hannover, GERMANY
Mehlstäubler, Tanja E.; QUEST, FG 2, Quantenuhren und komplexe Systeme, PTB-Braunschweig; Leibniz Universität, Institut für Quantenoptik, Hannover, GERMANY
Schmidt, Piet O.; QUEST Institute for Experimental Quantum Metrology, PTB-Braunschweig; Leibniz Universität, Institut für Quantenoptik, Hannover, GERMANY
Hammerer, K.; Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), GERMANY; Leibniz University Hannover, Hannover, GERMANY
Hamiltonian ; electromagnetic field ; gravitational field ; Paul traps ; quantum mechanical treatment ; single trapped ions ; Atomic clocks
Zusammenfassung
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.
Themenbereich der Metrologie
Zeit und Frequenz
Zitierung
Martínez-Lahuerta, V. J., 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(3), 1–12. https://doi.org/10.1103/PhysRevA.106.032803
