Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 21: Quantum Gases (Bosons) II
Q 21.2: Vortrag
Montag, 11. März 2019, 16:30–16:45, S HS 037 Informatik
Topological study of a double kicked Bose Einstein condensate — •Alexander Wagner1 and Sandro Wimberger2,3 — 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Deutschland — 2Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze 7/a, 43124 Parma, Italy — 3INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, Parco Area delle Scienze 7/a, 43124 Parma, Italy
The application of topological concepts, rooted in mathematics, to physical systems has proved to be very useful, for example in the context of the quantum Hall effect. Among the powerful tools provided by topology is the Bulk-Edge-Correspondence, which draws a connection between protected states forming at the edge or rather the boundary of the system and the topological properties of its bulk, that is unaffected by boundary effects. We study how the Bulk-Edge-Correspondence manifests itself for the double kicked quantum rotor and analyse how reliably (with regards to experimental perturbations) the observable mean chiral displacement converges towards the topological invariant of the system in the winding number. Our results show that recently implemented quantum walks of a spinor Bose-Einstein condensate [1] offer a versatile platform for topological investigations.
[1] S. Dadras, A. Gresch, C. Groiseau, S. Wimberger, and G. S. Summy, Quantum walk in momentum space with a Bose-Einstein condensate, Phys. Rev. Lett. 121, 070402 (2018)