The dynamic polarizabilities of 3s^(21)S_(0)and 3s3p^(3)P_(0)^(0) states of Al+are calculated using the hybrid configuration interaction and many-body perturbation theory method,and multiconfiguration Dirac-Hartree-Fo...The dynamic polarizabilities of 3s^(21)S_(0)and 3s3p^(3)P_(0)^(0) states of Al+are calculated using the hybrid configuration interaction and many-body perturbation theory method,and multiconfiguration Dirac-Hartree-Fock method in this work.Five ultraviolet magic wavelengths for the Al^(+)clock transition 3s^(21)S_(0)-3s3p^(3)P_(0)^(0) are predicted.Although the suitable lasers are not available presently,the potential precision measurement on these magic wavelengths for the Al^(+)clock transition would be used to extract the ratios of several certain transition matrix elements with high accuracy,and then help to improve the precision and reliability of the estimate of the BBR shift of the Al+clock transition.The differential dynamic polarizabilities at certain wavelengths are evaluated,which are useful to assess the ac Stark shift of the Al^(+)clock transition frequency and helpful in the clock experiments to suppress the ac Stark shift of the clock transition as possible as it can.展开更多
The B-spline configuration-interaction method is applied to the investigations of dynamic dipole polarizabilities for the four lowest triplet states(23S,33S,23P,and 33P) of the Li+ion.The accurate energies for the tri...The B-spline configuration-interaction method is applied to the investigations of dynamic dipole polarizabilities for the four lowest triplet states(23S,33S,23P,and 33P) of the Li+ion.The accurate energies for the triplet states of n3S,n3P,and n3D,the dipole oscillator strengths for 23S(33S)→n3P,23P(33P)→n3S,and 23P(33P)→n3D transitions,with the main quantum number n up to 10 are tabulated for references.The dynamic dipole polarizabilities for the four triplet states under a wide range of photon energy are also listed,which provide input data for analyzing the Stark shift of the Li+ion.Furthermore,the tune-out wavelengths in the range from 100 nm to 1.2 μm for the four triplet states,and the magic wavelengths in the range from 100 nm to 600 nm for the 23S→33S,23S→23P,and 23S→33P transitions are determined accurately for the experimental design of the Li+ion.展开更多
The photoabsorption cross sections of condensed atoms and molecules have proven to be dependent not only on the imaginary parts but also on the real parts of the polarizabilities due to the strong interatomie interact...The photoabsorption cross sections of condensed atoms and molecules have proven to be dependent not only on the imaginary parts but also on the real parts of the polarizabilities due to the strong interatomie interactions in condensed environment. The real parts of the polarizabilities calculated usually by using the famous Kramers-Kronig transformation （KKT） from the photoabsorption cross sections of the isolated atoms are very sensitive to the accuracy of the implementation method of the infinite integral in the KKT. The influence of the integral instability of the KKT and the real part of the polarizability on the variation of the photoabsorption cross sections with the number density and the structure of the condensed matter has been studied in the present work for the first time. The conclusion is that the integration method with interpolation has given more reasonable results than the direct truncation method if some appropriate interpolation functions have been used. Some notes and conclusions have also been given for the applications of the alternative coupled expressions of photoabsorption cross sections.展开更多
The magic wavelengths for different Zeeman components are measured based on the ^40Ca^＋ optical clock. The dynamic dipole polarizability of a non-zero angular moment level has correlation with the polarization direct...The magic wavelengths for different Zeeman components are measured based on the ^40Ca^＋ optical clock. The dynamic dipole polarizability of a non-zero angular moment level has correlation with the polarization direction of the linearly polarized laser beam, and we show that the four hyperfine structure levels of 4S1/2,m=±1/2 and 3d5/2,m=±1/2 for ^40Ca^＋ have the same dynamic dipole polarizability at the magic wavelength and a certain polarization direction. In addition, the existence of a specific direction of polarization may provide a new idea for improving the precision of magic wavelength measurement in experiment.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11934014,11904387,11704076,and U1732140)the National Key Research and Development Program of China(Grant Nos.2017YFA0304401 and 2017YFA0304402)Technical Innovation Program of Hubei Province,China(Grant No.2018AAA045)。
文摘The dynamic polarizabilities of 3s^(21)S_(0)and 3s3p^(3)P_(0)^(0) states of Al+are calculated using the hybrid configuration interaction and many-body perturbation theory method,and multiconfiguration Dirac-Hartree-Fock method in this work.Five ultraviolet magic wavelengths for the Al^(+)clock transition 3s^(21)S_(0)-3s3p^(3)P_(0)^(0) are predicted.Although the suitable lasers are not available presently,the potential precision measurement on these magic wavelengths for the Al^(+)clock transition would be used to extract the ratios of several certain transition matrix elements with high accuracy,and then help to improve the precision and reliability of the estimate of the BBR shift of the Al+clock transition.The differential dynamic polarizabilities at certain wavelengths are evaluated,which are useful to assess the ac Stark shift of the Al^(+)clock transition frequency and helpful in the clock experiments to suppress the ac Stark shift of the clock transition as possible as it can.
基金supported by the National Basic Research Program of China(Grant No.2012CB821305)the National Natural Science Foundation of China(Grant Nos.11474319,11274348,and 91536102)
文摘The B-spline configuration-interaction method is applied to the investigations of dynamic dipole polarizabilities for the four lowest triplet states(23S,33S,23P,and 33P) of the Li+ion.The accurate energies for the triplet states of n3S,n3P,and n3D,the dipole oscillator strengths for 23S(33S)→n3P,23P(33P)→n3S,and 23P(33P)→n3D transitions,with the main quantum number n up to 10 are tabulated for references.The dynamic dipole polarizabilities for the four triplet states under a wide range of photon energy are also listed,which provide input data for analyzing the Stark shift of the Li+ion.Furthermore,the tune-out wavelengths in the range from 100 nm to 1.2 μm for the four triplet states,and the magic wavelengths in the range from 100 nm to 600 nm for the 23S→33S,23S→23P,and 23S→33P transitions are determined accurately for the experimental design of the Li+ion.
基金Supported by the Natural Science Foundations of Ludong University under Grant Nos.22270301 and L20072804
文摘The photoabsorption cross sections of condensed atoms and molecules have proven to be dependent not only on the imaginary parts but also on the real parts of the polarizabilities due to the strong interatomie interactions in condensed environment. The real parts of the polarizabilities calculated usually by using the famous Kramers-Kronig transformation （KKT） from the photoabsorption cross sections of the isolated atoms are very sensitive to the accuracy of the implementation method of the infinite integral in the KKT. The influence of the integral instability of the KKT and the real part of the polarizability on the variation of the photoabsorption cross sections with the number density and the structure of the condensed matter has been studied in the present work for the first time. The conclusion is that the integration method with interpolation has given more reasonable results than the direct truncation method if some appropriate interpolation functions have been used. Some notes and conclusions have also been given for the applications of the alternative coupled expressions of photoabsorption cross sections.
基金supported by the National Basic Research Program of China(Grant No.2012CB821301)the National Natural Science Foundation of China(Grant Nos.11474318,91336211,and 11034009)the Chinese Academy of Sciences
文摘The magic wavelengths for different Zeeman components are measured based on the ^40Ca^＋ optical clock. The dynamic dipole polarizability of a non-zero angular moment level has correlation with the polarization direction of the linearly polarized laser beam, and we show that the four hyperfine structure levels of 4S1/2,m=±1/2 and 3d5/2,m=±1/2 for ^40Ca^＋ have the same dynamic dipole polarizability at the magic wavelength and a certain polarization direction. In addition, the existence of a specific direction of polarization may provide a new idea for improving the precision of magic wavelength measurement in experiment.
