Solid-state magnetic traps and lattices

TL;DR

This paper introduces a theoretical framework for creating thermally stable magnetic traps and lattices for electrons in semiconductors, enabling quantum simulation with tunable parameters in real time.

Contribution

It presents a novel method for generating magnetic traps and lattices for electrons, with detailed analysis and practical implementation proposals for quantum simulation.

Findings

Magnetic traps can be generated by magnetically driving electron spin transitions.

Periodic magnetic lattices can simulate exotic Hubbard models.

The proposed schemes are compatible with current experimental setups.

Abstract

We propose and analyze magnetic traps and lattices for electrons in semiconductors. We provide a general theoretical framework and show that thermally stable traps can be generated by magnetically driving the particle's internal spin transition, akin to optical dipole traps for ultra-cold atoms. Next we discuss in detail periodic arrays of magnetic traps, i.e. magnetic lattices, as a platform for quantum simulation of exotic Hubbard models, with lattice parameters that can be tuned in real time. Our scheme can be readily implemented in state-of-the-art experiments, as we particularize for two specific setups, one based on a superconducting circuit and another one based on surface acoustic waves.