Be optical lattice clocks with the fractional Stark shift up to the level of 10${}^{-19}$

Abstract

The energy levels and electric dipole ($E1$) matrix elements of the ground state and low-lying excited states of Be atoms are calculated using the relativistic configuration interaction plus core polarization (RCICP) method. The static and dynamic $E1$, magnetic dipole ($M1$) and electric quadrupole ($E2$) polarizabilities as well as the hyperpolarizabilities of the $2s^2{}^1{S}_0$ and $2s2p{}^3{P}_0$ states are determined. Two magic wavelengths, 300.03 and 252.28 nm, of $2s^2{}^1{S}_0\to 2s2p{}^3{P}_0$ clock transition are found. Then, the multipolar and nonlinear Stark shifts of the clock transition at the magic wavelength are discussed in detail. We find that when the laser intensity $I$ is in the range of 14.3 $\sim$ 15.9 kW/cm${}^2$ and the detuning $\delta$ (the frequency detuning of the lattice laser frequency relative to the magic frequency) is in the range of 40.7 $\sim$ 40.9 MHz, the fractional Stark shifts of the clock transition are less than 1.0 $\times$ 10${}^{-18}$. While, when $I$ is in the range of 15.01 $\sim$ 15.46 kW/cm${}^2$ and $\delta$ is in the range of 40.73 $\sim$ 40.76 MHz, the fractional Stark shifts are lower than 1.0 $\times$ 10${}^{-19}$.

arXiv comment18 pages, 3 figures

References in corpus (27)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Atomic clock performance beyond the geodetic limit
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Theory and applications of atomic and ionic polarizabilities
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Resolving the gravitational redshift within a millimeter atomic sample
• Searching for dilaton dark matter with atomic clocks
• Gravitational wave detection with optical lattice atomic clocks
• Trapping of single atoms in cavity QED
• High accuracy correction of blackbody radiation shift in an optical lattice clock
• Search for domain wall dark matter with atomic clocks on board global positioning system satellites
• Possibility of an ultra-precise optical clock using the $6^1{S}_0\to 6^3{P}_0^o$ transition in ${}^{171,173}$Yb atoms held in an optical lattice
• High accuracy measure of atomic polarizability in an optical lattice clock
• Operational Magic Intensity for Sr Optical Lattice Clocks
• Two clock transitions in neutral Yb for the highest sensitivity to variations of the fine-structure constant
• Strategies for reducing the light shift in atomic clocks
• Towards a Mg lattice clock: Observation of the ${}^1{S}_0-$${}^3{P}_0$ transition and determination of the magic wavelength
• New ideas for tests of Lorentz invariance with atomic systems
• Frequency Light Shifts Caused by the Effects of Quantization of Atomic Motion in an Optical Lattice
• Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized ${}^{133}$Cs cold atom clock
• Correlation trends in the ground state static electric dipole polarizabilities of closed-shell atoms and ions
• Multipolar polarizabilities and hyperpolarizabilities in the Sr optical lattice clock
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Dynamic multipolar polarizabilities and hyperpolarizabilities of the Sr lattice clock
• Long range interactions between alkali and alkaline-earth atoms
• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Magic intensity trapping of the Mg lattice clock with light shift suppressed below $10^{-19}$

Cited by in corpus (2)

• Relativistic and Electron Correlation Effects in Static Dipole Polarizabilities for Main-Group Elements
• Quantum Sensing Using Atomic Clocks for Nuclear and Particle Physics