© 2016

Artificial Gauge Fields with Ultracold Atoms in Optical Lattices


Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Monika Aidelsburger
    Pages 1-8
  3. Monika Aidelsburger
    Pages 9-26
  4. Monika Aidelsburger
    Pages 67-100
  5. Monika Aidelsburger
    Pages 101-117
  6. Monika Aidelsburger
    Pages 119-135
  7. Monika Aidelsburger
    Pages 137-159
  8. Monika Aidelsburger
    Pages 161-165
  9. Back Matter
    Pages 167-172

About this book


This work reports on the generation of artificial magnetic fields with ultracold atoms in optical lattices using laser-assisted tunneling, as well as on the first Chern-number measurement in a non-electronic system.

It starts with an introduction to the Hofstadter model, which describes the dynamics of charged particles on a square lattice subjected to strong magnetic fields. This model exhibits energy bands with non-zero topological invariants called Chern numbers, a property that is at the origin of the quantum Hall effect. The main part of the work discusses the realization of analog systems with ultracold neutral atoms using laser-assisted-tunneling techniques both from a theoretical and experimental point of view. Staggered, homogeneous and spin-dependent flux distributions are generated and characterized using two-dimensional optical super-lattice potentials. Additionally their topological properties are studied via the observation of bulk topological currents.

The experimental techniques presented here offer a unique setting for studying topologically non-trivial systems with ultracold atoms.


Artificial magnetic fields Bose-Einstein condensates Chern number Harper-Hofstadter Model Hofstadter model Laser-assisted tunneling Optical lattices and superlattices Periodically driven systems Quantum gases

Authors and affiliations

  1. 1.Ludwig Maximilian University of MunichMunichGermany

Bibliographic information