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Journal Article

Topological quantum wires with balanced gain and loss


Menke,  H.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Menke, H., & Hirschmann, M. (2017). Topological quantum wires with balanced gain and loss. Physical Review B, 95(17): 174506.

Cite as: https://hdl.handle.net/21.11116/0000-000E-D088-D
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 as well as 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.