Tune-out wavelengths for the alkaline-earth-metal atoms

Abstract

The lowest 3 tune-out wavelengths of the four alkaline-earth atoms, Be, Mg, Ca and Sr are determined from tabulations of matrix elements produced from large first principles calculations. The tune-out wavelengths are located near the wavelengths for 3 P o 1 and 1 P o 1 excitations. The measurement of the tune-out wavelengths could be used to establish a quantitative relationship between the oscillator strength of the transition leading to existence of the tune-out wavelength and the dynamic polarizability of the atom at the tune-out frequency. The longest tune-out wavelengths for Be, Mg, Ca, Sr, Ba and Yb are 454.9813 nm, 457.2372 nm, 657.446 nm, 689.200 nm, 788.875 nm and 553.00 nm respectively.

Potassium tune-out-wavelength measurement using atom interferometry and a multipass optical cavity

“…Several calculations of tune-out wavelengths [7][8][9][10][11][12][13][14]16] use the sum-over-states approach to calculate the dynamic polarizability α(ω), expressed in terms of reduced dipole matrix elements i D k or oscillator strengths f ik . For K between the D1 and D2 lines,…”

“…Light at a tune-out wavelength therefore causes zero energy shift (no ac Stark shift) for atoms in a particular state. Precise λ zero measurements [1][2][3][4][5] serve as a means to study several atomic properties including lifetimes; oscillator strengths; oscillator strength ratios; atomic scalar, vector, and tensor polarizabilities and hyperpolarizabilities; the polarization of atomic core electrons; core-valence electron correlations; and relativistic and QED effects on atomic transition amplitudes [6][7][8][9][10][11][12][13][14][15]. Improved knowledge of λ zero values can also be important for several experiments that use species-specific and state-specific optical dipole potentials created with light near a tune-out wavelength [16][17][18][19][20][21][22][23].…”

Decoherence Spectroscopy for Atom Interferometry

“…These λ zero measurements test theoretical polarizability spectra α(ω) described in references [22][23][24][25][26][27][28][29][30][31][32][33]. To measure λ zero , we apply an irradiance gradient on the paths of a Mach-Zehnder atom beam interferometer [37][38][39].…”

“…Tune-out wavelengths occur at roots in the dynamic polarizability spectrum of an atom, and λ zero measurements can serve as benchmark tests of atomic structure calculations [22][23][24][25][26][27][28][29][30][31][32][33]. Here we use decoherence to calibrate the frequency-axis for light-induced phase shift spectra, as we discuss in more detail in Sections 2-4.…”

Polarizabilities and tune-out wavelengths of the hyperfine ground states ofRb87,85

“…The knowledge of static polarizabilities can be used to evaluate Stark effect [1] and the blackbody radiation(BBR) shift [2] which are very important to determine the uncertainty of atomic clock [3][4][5].…”