Theoretical Investigation On Polarization Properties Of Ytterbium Atom

We determine the static values of the scalar and tensor electric dipole polarizabilities of the 6s21S0,6S6p3 p0o and 6s6p3P1o states of the Yb atom.These results can be useful in many experiments undertaken using this atom.We employe a combined configuration interaction(Cl)method and a second-order many-body perturbation theory(MBPT)to evaluate energies and electric dipole(El)matrix elements of many low-lying excited states of the above atom.These values are compared with the other available theoretical calculations and experimental values.We estimate polarizabilities by the sum-over-states approach through dividing the total contributions into three major categories,i.e.,valence,core and valence-core correlation contributions.By combining the theoretical El matrix elements with the experimental excitation energies,we estimate the dominant valence correlation contributions to the dipole polarizabilities of the above states.The core contribution is obtained from the finite field approach.We also compare these values with the other theoretical results as there are no precise experimental values that are available for these properties.The dynamic electric dipole polarizabilities of the 6s21S0,6s6p3P0o,and 6s6p3P1o states of Yb are figured out,as a function of laser frequency.From crossings of the curves of dynamic polarizabilities of upper and lower states of the 6s21S0-6s6p3P0o and 6s21S0-6s6p3P1o transition,a number of magic wavelengths for these two transitions in ytterbium are evaluated,for which the upper and lower atomic levels of the corresponding transitions have the same AC Stark shifts,which facilitates the state-insensitive laser cooling and trapping of neutral atom of ytterbium.Five sets of magic wavelengths,at 754(10)nm,552.7(1)nm,457(1)nm,411.36(1)nm,and 374.51(4)nm,for the clock transition 6s21S0-6s6ps3P0o in Yb are determined,which are particular interest for constructing precise atomical optical clocks.A large number of magic wavelengths for the 6s21S0-6s6p3P1o transition in Yb are evaluated.Focusing on the red detuning region to the 6s21S0-6s6p3P1o transition,we find two magic wavelengths at 1035.7(2)nm and 612.9(2)nm for the 6s21S0-6s6p3P1o,MJ = 0 transition and three magic wavelengthes at 1517.68(6)nm,1036.0(3)nm and 858(12)nm for the 6s2 1S0-6s6p31o,MJ= ±1 transitions.Such magic wavelengths are of particular interest for attaining the state-insensitive cooling,trapping,and quantum manipulation of neutral Yb atom,which could benefit many scientific applications.