Dissipative topological superconductors in number-conserving systems
Abstract
We discuss the dissipative preparation of p-wave superconductors in number-conserving one-dimensional fermionic systems. We focus on two setups: the first one entails a single wire coupled to a bath, whereas in the second one the environment is connected to a two-leg ladder. Both settings lead to stationary states which feature the bulk properties of a p-wave superconductor, identified in this number-conserving setting through the long-distance behavior of the proper p-wave correlations. The two schemes differ in the fact that the steady state of the single wire is not characterized by topological order, whereas the two-leg ladder hosts Majorana zero modes, which are decoupled from damping and exponentially localized at the edges. Our analytical results are complemented by an extensive numerical study of the steady-state properties, of the asymptotic decay rate and of the robustness of the protocols.
Keywords
Cite
@article{arxiv.1512.04413,
title = {Dissipative topological superconductors in number-conserving systems},
author = {Fernando Iemini and Davide Rossini and Rosario Fazio and Sebastian Diehl and Leonardo Mazza},
journal= {arXiv preprint arXiv:1512.04413},
year = {2016}
}
Comments
14 pages, 7 figures, 2 appendices