Abstract
We introduce a general method for designing tailored lattices of magnetic microtraps for ultracold atoms on the basis of patterned permanently magnetized films. A fast numerical algorithm is used to automatically generate patterns that provide optimal atom confinement while respecting desired lattice symmetries and trap parameters. The algorithm can produce finite and infinite lattices of any plane symmetry; we focus specifically on square and triangular lattices, which are of interest for future experiments. Typical trap parameters, as well as the impact of realistic imperfections such as finite lithographic resolution and magnetic inhomogeneity, are discussed. The designer lattices presented open new avenues for quantum simulation and quantum information processing with ultracold atoms on atom chips.
Highlights
In this paper, we present a general method for creating tailored lattices of magnetic microtraps by controlling the geometric patterns of perpendicularly magnetized planar films
It can be used to create a wide variety of designer-lattice geometries with arbitrary trap arrangements, opening new avenues for simulating condensed matter systems and for quantum information processing with ultracold atoms on atom chips
We have introduced a linear programming algorithm tailored to the problem of designing two-dimensional magnetic lattices of IP traps for ultracold atoms
Summary
We present a general method for creating tailored lattices of magnetic microtraps by controlling the geometric patterns of perpendicularly magnetized planar films. We employ a linear programming algorithm to find optimal single-layer magnetization patterns that produce desired lattice symmetries with specified trap parameters. This algorithm is similar to that previously used for the optimization of surface-electrode ion-trap lattices based on radio-frequency (rf) electric fields [22]. To highlight the flexibility of the method we focus on two desirable lattices we can generate: one square lattice and one triangular lattice, of interest for future experiments These lattices offer tight confinement and a high degree of symmetry.
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