Abelian gauge potentials on cubic lattices
Abstract
The study of the properties of quantum particles in a periodic potential subject to a magnetic field is an active area of research both in physics and mathematics; it has been and it is still deeply investigated. In this review we discuss how to implement and describe tunable Abelian magnetic fields in a system of ultracold atoms in optical lattices. After discussing two of the main experimental schemes for the physical realization of synthetic gauge potentials in ultracold set-ups, we study cubic lattice tight-binding models with commensurate flux. We finally examine applications of gauge potentials in one-dimensional rings.
Cite
@article{arxiv.1706.02228,
title = {Abelian gauge potentials on cubic lattices},
author = {Michele Burrello and Luca Lepori and Simone Paganelli and Andrea Trombettoni},
journal= {arXiv preprint arXiv:1706.02228},
year = {2017}
}
Comments
To appear on: "Advances in Quantum Mechanics: Contemporary Trends and Open Problems", G. Dell'Antonio and A. Michelangeli eds., Springer-INdAM series 2017