The lifetime of the 5d6s ^(3)D_(1) clock state in Lu^(+)exhibits a large discrepancy between experimental and theoretical values.To resolve this discrepancy,we perform calculations of the magnetic dipole transition ra...The lifetime of the 5d6s ^(3)D_(1) clock state in Lu^(+)exhibits a large discrepancy between experimental and theoretical values.To resolve this discrepancy,we perform calculations of the magnetic dipole transition rate between the 5d6s ^(3)D_(1) and 6s^(2)^(1)S_(0) states using the multi-configuration Dirac–Hartree–Fock method.The effects of electron correlations,Breit interaction,and quantum electrodynamics(QED)corrections on the transition parameters are analyzed systematically.The calculated 5d6s ^(3)D_(1)–6s^(2)^(1)S_(0) magnetic dipole transition rate,1.69(7)×10^(-6)s^(-1),shows excellent agreement with the experimental measurement.To accurately determine the lifetime of the^(3)D_(1) clock state,the hyperfine-induced electric quadrupole transition rate between the^(3)D_(1) and ground states is also calculated.Furthermore,the rates of various transitions between states in the 5d6s configuration are obtained.The lifetimes of the ^(3)D_(2,3)and ^(1)D_(2) states are consistent with previous theoretical calculations.展开更多
The study of magnetic field effects on the clock transition of Mg and Cd optical lattice clocks is scarce.In this work,the hyperfine-induced Landég-factors and quadratic Zeeman shift coefficients of the nsnp ^(3)...The study of magnetic field effects on the clock transition of Mg and Cd optical lattice clocks is scarce.In this work,the hyperfine-induced Landég-factors and quadratic Zeeman shift coefficients of the nsnp ^(3)P_(0)^(o) clock states for ^(111,113)Cd and ^(25)Mg were calculated by using the multi-configuration Dirac–Hartree–Fock theory.To obtain accurate values of these parameters,the impact of electron correlations and furthermore the Breit interaction and quantum electrodynamical effects on the Zeeman and hyperfine interaction matrix elements,and energy separations were investigated in detail.We also estimated the contributions from perturbing states to the Landég-factors and quadratic Zeeman shift coefficients concerned so as to truncate the summation over the perturbing states without loss of accuracy.Our calculations provide important data for estimating the first-and second-order Zeeman shifts of the clock transition for the Cd and Mg optical lattice clocks.展开更多
基金supported by the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0300902)the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB35010202)+1 种基金the Operation and Maintenance of Major Scientific and Technological Infrastructure of the Chinese Academy of Sciences(GrantNo.2024000014)the Natural Science Foundation of Shaanxi Province(Grant No.2025JC-YBMS-038)。
文摘The lifetime of the 5d6s ^(3)D_(1) clock state in Lu^(+)exhibits a large discrepancy between experimental and theoretical values.To resolve this discrepancy,we perform calculations of the magnetic dipole transition rate between the 5d6s ^(3)D_(1) and 6s^(2)^(1)S_(0) states using the multi-configuration Dirac–Hartree–Fock method.The effects of electron correlations,Breit interaction,and quantum electrodynamics(QED)corrections on the transition parameters are analyzed systematically.The calculated 5d6s ^(3)D_(1)–6s^(2)^(1)S_(0) magnetic dipole transition rate,1.69(7)×10^(-6)s^(-1),shows excellent agreement with the experimental measurement.To accurately determine the lifetime of the^(3)D_(1) clock state,the hyperfine-induced electric quadrupole transition rate between the^(3)D_(1) and ground states is also calculated.Furthermore,the rates of various transitions between states in the 5d6s configuration are obtained.The lifetimes of the ^(3)D_(2,3)and ^(1)D_(2) states are consistent with previous theoretical calculations.
基金Project supported by the National Natural Science Foundation of China (Grant No.61775220)the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No.XDB21030100)the Key Research Project of Frontier Science of the Chinese Academy of Sciences (Grant No.QYZDB-SSW-JSC004)。
文摘The study of magnetic field effects on the clock transition of Mg and Cd optical lattice clocks is scarce.In this work,the hyperfine-induced Landég-factors and quadratic Zeeman shift coefficients of the nsnp ^(3)P_(0)^(o) clock states for ^(111,113)Cd and ^(25)Mg were calculated by using the multi-configuration Dirac–Hartree–Fock theory.To obtain accurate values of these parameters,the impact of electron correlations and furthermore the Breit interaction and quantum electrodynamical effects on the Zeeman and hyperfine interaction matrix elements,and energy separations were investigated in detail.We also estimated the contributions from perturbing states to the Landég-factors and quadratic Zeeman shift coefficients concerned so as to truncate the summation over the perturbing states without loss of accuracy.Our calculations provide important data for estimating the first-and second-order Zeeman shifts of the clock transition for the Cd and Mg optical lattice clocks.
