A two-dimensional permanent magnetic lattice for ultracold atoms

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We propose a permanent magnetic lattice for creating a two-dimensional array of Ioffe–Pritchard permanent magnetic microtraps for holding and controlling ultracold atoms and Bose–Einstein condensates. This atom chip may be fabricated using laser carving on two separate magnetic films such as Tb6Gd10Fe80Co4 with thicknesses of 500 and 50 nm, respectively, and a periodicity of 1 μm. The trap depth and frequencies are controlled via an external bias field to handle tunneling rates between lattice sites. We present analytical expressions and compare them with numerical calculations.