04259nam 22007335 450 991025461190332120200630130911.03-319-25829-X10.1007/978-3-319-25829-4(CKB)3710000000539297(EBL)4199822(SSID)ssj0001597166(PQKBManifestationID)16296532(PQKBTitleCode)TC0001597166(PQKBWorkID)14886717(PQKB)11329907(DE-He213)978-3-319-25829-4(MiAaPQ)EBC4199822(PPN)190886730(EXLCZ)99371000000053929720151214d2016 u| 0engur|n|---|||||txtccrArtificial Gauge Fields with Ultracold Atoms in Optical Lattices[electronic resource] /by Monika Aidelsburger1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (180 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053"Doctoral Thesis accepted by Ludwig-Maximilians-Universität München, Germany."3-319-25827-3 Includes bibliographical references at the end of each chapters.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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Phase transformations (Statistical physics)Condensed materialsLow temperature physicsLow temperaturesQuantum computersSpintronicsQuantum Gases and Condensateshttps://scigraph.springernature.com/ontologies/product-market-codes/P24033Low Temperature Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25130Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Phase transformations (Statistical physics).Condensed materials.Low temperature physics.Low temperatures.Quantum computers.Spintronics.Quantum Gases and Condensates.Low Temperature Physics.Quantum Information Technology, Spintronics.599.0188Aidelsburger Monikaauthttp://id.loc.gov/vocabulary/relators/aut799827MiAaPQMiAaPQMiAaPQBOOK9910254611903321Artificial Gauge Fields with Ultracold Atoms in Optical Lattices1800585UNINA