Possibility of "magic" co-trapping of two atomic species in optical lattices

TL;DR

This paper explores the theoretical possibility of co-trapping two different atomic species in a single optical lattice using 'magic' conditions to cancel differential Stark shifts, with numerical analysis for specific atom pairs.

Contribution

It extends 'magic' optical lattice concepts from single to dual-species trapping, identifying conditions for Stark shift cancellation in two-species systems.

Findings

Qualitative analysis of conditions for dual-species 'magic' trapping.

Numerical results for 27Al and 87Sr pairing.

Identification of suitable atomic species for co-trapping.

Abstract

Much effort has been devoted to removing differential Stark shifts for atoms trapped in specially tailored "magic" optical lattices, but thus far work has focused on a single trapped atomic species. In this work, we extend these ideas to include two atomic species sharing the same optical lattice. We show qualitatively that, in particular, scalar J = 0 divalent atoms paired with non-scalar state atoms have the necessary characteristics to achieve such Stark shift cancellation. We then present numerical results on "magic" trapping conditions for 27Al paired with 87Sr, as well as several other divalent atoms.