Erlangen 2018 – scientific programme
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SYPS: PhD-Symposium
SYPS 1: PhD-Symposium: Floquet Physics - how time-periodic systems can make a difference
SYPS 1.3: Invited Talk
Monday, March 5, 2018, 15:00–15:30, RW HS
Exploring 4D Quantum Hall Physics with a 2D Topological Pumps — •Oded Zilberberg1, Michael Lohse2,3, Christian Schweizer2,3, Immanuel Bloch2,3, Hannah Price4,5, Yaacov Kraus6, Sheng Huang7, Mohan Wang7, Kevin Chen7, Jonathan Guglielmon8, and Mikael Rechtsman8 — 1ETH Zürich, Zürich, Switzerland — 2Max-Planck-Institut für Quantenoptik, Garching, Germany — 3Ludwig-Maximilians-Universität, München, Germany — 4Università di Trento, Povo, Italy — 5University of Birmingham, Birmingham, United Kingdom — 6Holon Institute of Technology, Holon, Israel — 7University of Pittsburgh, Pennsylvania USA — 8The Pennsylvania State University, Pennsylvania, USA
A prominent example of topological phases of matter is the two-dimensional integer quantum Hall effect. It is characterized by the first Chern number that manifests via quantized transverse conductance. Generalizing the quantum Hall effect to four-dimensional systems leads to the appearance of a novel non-linear Hall response that is quantized as well, but described by a 4D topological invariant - the second Chern number. In my talk, I will report on the prediction and first observation of a dynamical 4D integer quantum Hall effect using 2D topological charge pumps. In two experiments, using ultracold bosonic atoms in an optical superlattice and coupled waveguide arrays, the quantized bulk and corresponding boundary responses were realized, respectively. These responses exhibit 4D symmetry and pave the way for additional realizations of engineered systems with synthetic dimensions.