Artificial Gauge Fields with Ultracold Atoms in Optical Lattices
Springer International Publishing (Verlag)
978-3-319-79848-6 (ISBN)
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.Introduction.- Square Lattice with Magnetic field.- Artificial Gauge Fields with Laser-Assisted Tunneling.- Overview of the Experimental Setup and Measurement Techniques.- Staggered Magnetic Flux.- Harper-Hofstadter Model and Spin Hall Effect.- All-Optical Setup for Flux Rectification.- Chern-Number Measurement of Hofstadter Bands.- Conclusions and Outlook.
| Erscheinungsdatum | 19.12.2018 |
|---|---|
| Reihe/Serie | Springer Theses |
| Zusatzinfo | XIII, 172 p. 76 illus., 2 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 296 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| Schlagworte | 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 |
| ISBN-10 | 3-319-79848-0 / 3319798480 |
| ISBN-13 | 978-3-319-79848-6 / 9783319798486 |
| Zustand | Neuware |
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