Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 6: Quantum Effects (Disorder and Entanglement)
Q 6.2: Talk
Monday, March 9, 2020, 11:30–11:45, f342
Extending the SSH Model Beyond Nearest Neighbour Interactions — •Ciarán McDonnell1 and Beatriz Olmos2 — 1Centre for the mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD, UK. — 2Auf der Morgenstelle 14 72076 Tübingen
The Su-Schrieffer-Heeger (SSH) model was first used to describe the transport dynamics of polyacetylene in 1979. The nearest neighbour model has since effectively described the dynamics in a wide range of systems. These systems as a result can exhibit topological phases and are known as topological insulators. Little work has been done to extend the SSH model beyond the nearest neighbour regime, with none of the work extending beyond three nearest neighbours. We use a nanofiber waveguide coupled to two-level atoms to theoretically explore an arbitrary number of interactions. We first look at the case where the system is chiral symmetric find a general criterion for the topological phases of the system and find the corresponding edge states. We then extend to the non-chiral symmetric case and investigate how this affects the presence of edge states.