Abelian gauge potentials on cubic lattices

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

The study of the properties of quantum particles in a periodic potential subjected to a magnetic field is an active area of research both in physics and mathematics, and it has been and is yet deeply investigated. In this chapter we discuss how to implement and describe tunable Abelian magnetic fields in a system of ultracold atoms in optical lattices. After reviewing two of the main experimental schemes for the physical realization of synthetic gauge potentials in ultracold setups, we study cubic lattice tight-bindingmodels with commensurate flux.We finally discuss applications of gauge potentials in one-dimensional rings.

Original languageEnglish
Title of host publicationAdvances in Quantum Mechanics : Contemporary Trends and Open
Number of pages24
Volume18
PublisherSpringer
Publication date3 Aug 2017
Pages47-70
ISBN (Print)10.1007/978-3-319-58904-6_4
DOIs
Publication statusPublished - 3 Aug 2017
SeriesSpringer INdAM Series
Volume18
ISSN2281-518X

Bibliographical note

[Qdev]

    Research areas

  • Abelian gauge potentials, Lattice models, Quantum entanglement, Quantum transfer, Ultracold atoms

ID: 186413285