Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 76: Poster Session: Transport 2

TT 76.23: Poster

Thursday, March 23, 2017, 15:00–19:00, P2-OG1

Topological Quantum Wires with Balanced Gain and Loss — •Henri Menke and Moritz Hirschmann — Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, D-70569 Stuttgart, Germany

We study a one-dimensional topological superconductor, the Kitaev chain, under the influence of a non-Hermitian but PT-symmetric potential. This potential introduces gain and loss in the system in equal parts. We show that the stability of the topological phase is influenced by the gain/loss strength and explicitly derive the bulk topological invariant in a bipartite lattice and compute the corresponding phase diagram using analytical and numerical methods. Furthermore we find that the edge state is exponentially localized near the ends of the wire despite the presence of gain and loss of probability amplitude in that region.