Asymmetric Two-dimensional Magnetic Lattices for Ultracold Atoms Trapping and Confinement

TL;DR

This paper proposes a novel asymmetric two-dimensional magnetic lattice for trapping ultracold atoms, using a periodically milled magnetic thin film, with detailed analysis and potential applications in quantum device engineering.

Contribution

It introduces a new method to create asymmetric magnetic lattices via surface milling, enabling improved trapping of ultracold atoms in quantum devices.

Findings

Analytical expressions for magnetic fields are derived.

Numerical simulations confirm the trapping potential's effectiveness.

Optimal parameters are identified to prevent atom loss due to surface effects.

Abstract

A new method to implement an asymmetrical two-dimensional magnetic lattice is proposed. The asymmetrical two-dimensional magnetic lattice can be created by periodically distributing magnetic minima across the surface of magnetic thin film where the periodicity can be achieved by milling $n\times n$ square holes on the surface of the film. The quantum device is proposed for trapping and confining ultracold atoms and quantum degenerate gases prepared in the low magnetic field seeking-state at low temperature, such as the Bose-Einstein Condensate (BEC) and ultracold fermions. We present detailed analysis of the analytical expressions and the numerical simulation procedure used to calculate the external magnetic field. We also, describe the magnetic band gap structure exhibited by the asymmetric effect of the magnetic minima and show some of the possible application. We analyze the effect of changing the characteristic parameters of the magnetic lattice, such as the separating periodicity length and the hole size along with the applications of the external magnetic bias fields to maintain and allocate a suitable non-zero magnetic local minima at effective $z$-distance above the thin film surface. Suitable values are shown which keep the trapped ultracold atoms away from the thermal Majorana spin-flip and the surface Casimir-Polder effect.