Abelian Gauge Potentials on Cubic Lattices

  • M. Burrello
  • L. Lepori
  • S. Paganelli
  • A. Trombettoni
Part of the Springer INdAM Series book series (SINDAMS, volume 18)


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 set-ups, we study cubic lattice tight-binding models with commensurate flux. We finally discuss applications of gauge potentials in one-dimensional rings.


Abelian gauge potentials Lattice models Quantum entanglement Quantum transfer Ultracold atoms 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • M. Burrello
    • 1
  • L. Lepori
    • 2
    • 3
  • S. Paganelli
    • 2
  • A. Trombettoni
    • 4
    • 5
  1. 1.Niels Bohr International Academy and Center for Quantum DevicesUniversity of CopenhagenCopenhagenDenmark
  2. 2.Dipartimento di Scienze Fisiche e ChimicheUniversitá dell’AquilaCoppito-L’AquilaItaly
  3. 3.INFN, Laboratori Nazionali del Gran SassoAssergiItaly
  4. 4.CNR-IOM DEMOCRITOS Simulation CenterTriesteItaly
  5. 5.SISSA and INFN, Sezione di TriesteTriesteItaly

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