Doubly magic optical trapping for Cs atom hyperfine clock transitions
A. W. Carr, M. Saffman

TL;DR
This paper investigates the feasibility of creating doubly magic optical traps for Cs hyperfine transitions, considering hyperpolarizability effects and bichromatic light fields, finding conditions for intensity-insensitive trapping.
Contribution
It introduces the inclusion of hyperpolarizability in the analysis and explores bichromatic trapping schemes for doubly magic conditions in Cs atoms.
Findings
No doubly magic traps found with previous models
Hyperpolarizability enables light-insensitive traps at specific intensities
Bichromatic schemes achieve doubly magic traps for certain state pairs
Abstract
We analyze doubly magic trapping of Cs hyperfine transitions including previously neglected contributions from the ground state hyperpolarizability and the interaction of the laser light and a static magnetic field. Extensive numerical searches do not reveal any doubly magic trapping conditions for any pair of hyperfine states. However, including the hyperpolarizability reveals light intensity insensitive traps for a wide range of wavelengths at specific intensities. We then investigate the possibility of using bichromatic trapping light fields. Deploying a bichromatic scheme, we demonstrate doubly magic red and blue detuned traps for pairs of states separated by one or two single photon transitions.
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