Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 65: Poster Session Topological Topics

TT 65.20: Poster

Thursday, March 19, 2020, 15:00–19:00, P2/EG

Floquet-Majoranas in a Cooper Pair Box — •Anne Matthies and Achim Rosch — Universität zu Köln, Institut für Theoretische Physik

A topological superconductor in one dimension can host Majorana zero modes at its edge. By driving the system periodically, so-called π modes (also named Floquet-Majoranas) can arise. These are topologically protected modes with an energy at the quasi-energy π/T where T is the period of the drive. We consider the role of π modes in the presence of long-ranged Coulomb interactions. We study a Cooper pair box made of two Josephson coupled superconducting topological quantum wires. Time-dependent gate voltages periodically drive the system. We investigate how to obtain and control π modes and study their stability in the presence of interactions.