Theory of "magic" optical traps for Zeeman-insensitive clock transitions in alkalis

Abstract

Precision measurements and quantum information processing with cold atoms may benefit from trapping atoms with specially engineered, "magic" optical fields. At the magic trapping conditions, the relevant atomic properties remain immune to strong perturbations by the trapping fields. Here we develop a theoretical analysis of a recently observed magic trapping for especially valuable Zeeman-insensitive clock transitions in alkali-metal atoms. The involved mechanism relies on applying "magic" bias B-field along circularly polarized trapping laser field. We map out these B-fields as a function of trapping laser wavelength for all commonly-used alkalis.

4 pages, 2 fig, 1 table (v3: added discussion of the correct way of computing polarizabilities)

References in corpus (6)

• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• Experimental observation of magic-wavelength behavior in optical lattice-trapped ${}^{87}$Rb
• Magic frequencies for cesium primary frequency standard
• Micromagic clock: microwave clock based on atoms in an engineered optical lattice

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