03768nam a22005535i 4500 978-3-319-25829-4 DE-He213 20210617232943.0 cr nn 008mamaa 151214s2016 gw | s |||| 0|eng d 9783319258294 978-3-319-25829-4 10.1007/978-3-319-25829-4 doi QC175.16.C6 PHM bicssc SCI057000 bisacsh PHM thema 539 23 Aidelsburger, Monika. author. aut http://id.loc.gov/vocabulary/relators/aut Artificial Gauge Fields with Ultracold Atoms in Optical Lattices [electronic resource] / by Monika Aidelsburger. 1st ed. 2016. Cham : Springer International Publishing : Imprint: Springer, 2016. XIII, 172 p. 76 illus., 2 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 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. 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. Phase transformations (Statistical physics). Condensed materials. Low temperature physics. Low temperatures. Quantum computers. Spintronics. Quantum Gases and Condensates. https://scigraph.springernature.com/ontologies/product-market-codes/P24033 Low Temperature Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P25130 Quantum Information Technology, Spintronics. https://scigraph.springernature.com/ontologies/product-market-codes/P31070 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319258270 Printed edition: 9783319258287 Printed edition: 9783319798486 Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 https://doi.org/10.1007/978-3-319-25829-4 ZDB-2-PHA ZDB-2-SXP Physics and Astronomy (SpringerNature-11651) Physics and Astronomy (R0) (SpringerNature-43715)