Magnetic lattices for ultracold atoms and degenerate quantum gases
Yibo Wang, Prince Surendran, Smitha Jose, Tien Tran, Ivan Herrera,, Shannon Whitlock, Russell McLean, Andrei Sidorov, Peter Hannaford

TL;DR
This paper reviews recent progress in magnetic lattices for trapping ultracold atoms, highlighting new experimental realizations, structures, and proposals for quantum interactions, offering a complementary approach to optical lattices.
Contribution
It summarizes recent experimental and theoretical advances in magnetic lattice design, fabrication, and applications for ultracold atom trapping and quantum simulation.
Findings
Bose-Einstein condensation achieved in magnetic lattice microtraps
Ultracold atoms trapped in square and triangular magnetic lattices
Proposal for using Rydberg atoms in large-spacing magnetic lattices for interactions
Abstract
We review recent developments in the use of magnetic lattices as a complementary tool to optical lattices for trapping periodic arrays of ultracold atoms and degenerate quantum gases. Recent advances include the realisation of Bose-Einstein condensation in multiple sites of a magnetic lattice of one-dimensional microtraps, the trapping of ultracold atoms in square and triangular magnetic lattices, and the fabrication of magnetic lattice structures with sub-micron period suitable for quantum tunnelling experiments. Finally, we describe a proposal to utilise long-range interacting Rydberg atoms in a large spacing magnetic lattice to create interactions between atoms on neighbouring sites.
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