Hannover 2016 – wissenschaftliches Programm
Q 11.6: Poster
Montag, 29. Februar 2016, 16:30–19:00, Empore Lichthof
Two-dimensional quantum walks in artificial magnetic fields — •Muhammad Sajid, Stefan Brakhane, Wolfgang Alt, Dieter Meschede, and Andrea Alberti — Institute for Applied Physics, wegelerstr. 8, D-53115, Bonn University
Quantum walks hold the prospect to simulate quantum transport and topological effects in solid-state systems and have been realized in various experiments including ultra-cold neutral atoms in optical lattices . For example, the behavior of charged particles in a periodic potential subject to an external electric field has been simulated with neutral atoms in one-dimensional spin-dependent optical lattices where acceleration of the lattice corresponds to an electric field acting on charged particles .
Here we report on a theoretical study of discrete-time quantum walks subject to a magnetic field on a square lattice, which simulates the dynamics of a two-dimensional electronic system in a magnetic field . In particular, I discuss the topological properties of magnetic quantum walks by identifying Chern topological invariants and by demonstrating the existence of topologically protected edge states carrying quantized current at spatial boundaries . In addition, I present an experimental proposal how to realize artificial magnetic fields using neutral atoms in a two-dimensional spin-dependent optical lattice.
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