# Hannover 2016 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 11: Poster: Quantum Optics and Photonics I

### 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 [1]. 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 [2].

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 [3]. 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 [4]. In addition, I present an experimental proposal how to realize artificial magnetic fields using neutral atoms in a two-dimensional spin-dependent optical lattice.

[1] M. Karski et al. Science 325, 174 (2009).

[2] M. Genske et al. PRL 110, 190601 (2013).

[3] Pablo Arnault and Fabrice Debbasch, arXiv:1508.00038v3

[4] J. K. Asboth and J. M. Edge, PRA 91, p. 022324 (2015)