Abelian gauge potentials on cubic lattices

Michele Burrello; Luca Lepori; Simone Paganelli; Andrea Trombettoni

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arXiv · 1706.02228

Abelian gauge potentials on cubic lattices

Michele Burrello·Luca Lepori·Simone Paganelli·Andrea Trombettoni

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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.

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Michele Burrello, Luca Lepori, Simone Paganelli, Andrea Trombettoni. 2017-06-07. Abelian gauge potentials on cubic lattices. https://arxiv.org/abs/1706.02228

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