Abstract
Active clocks could provide better stabilities during initial stages of measurements over passive clocks, in which stabilities become saturated only after long-term measurements. This unique feature of an active clock has led to search for suitable candidates to construct such clocks. The other challenging task of an atomic clock is to reduce its possible systematics. A major part of the optical lattice atomic clocks based on neutral atoms are reduced by trapping atoms at the magic wavelengths of the optical lattice lasers. Keeping this in mind, we find the magic wavelengths between all possible hyperfine levels of the transitions in Rb and Cs atoms that were earlier considered to be suitable for making optical active clocks. To validate the results, we give the static dipole polarizabilities of Rb and Cs atoms using the electric dipole transition amplitudes that are used to evaluate the dynamic dipole polarizabilities and compare them with the available literature values.
Highlights
The future definition of second in the International System of Units (SI) requires the realization of ultraprecise, narrow and concise form of clocks
We present a list of reliable magic wavelengths for the 7S − 6P1/2,3/2 and 6S − 5P1/2,3/2 transitions for Cs and Rb atoms, respectively, considering the linearly polarized light
These magic wavelengths will be useful for the purpose of trapping of atoms in optical traps for constructing active optical clocks
Summary
The future definition of second in the International System of Units (SI) requires the realization of ultraprecise, narrow and concise form of clocks. Active clocks are expected to achieve better short-term stabilities [1] against the available optical clocks when a hybrid clock system consisting of the proposed active clock and an appropriate passive clock are designed together. Such a hybrid system is expected to cater both the short- and long-term stabilities to an indigenous frequency standard. Active clocks can serve as conducive time keeping standard at the short-term time scale. Proposed more than a decade ago, active optical clocks offer a possible solution to the bottleneck of accomplishing high stabilities in clocks [2,3,4,5]
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