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arXiv · 1512.04413

Dissipative topological superconductors in number-conserving systems

Fernando Iemini·Davide Rossini·Rosario Fazio·Sebastian Diehl·Leonardo Mazza
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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.

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Fernando Iemini, Davide Rossini, Rosario Fazio, Sebastian Diehl, Leonardo Mazza. 2015-12-14. Dissipative topological superconductors in number-conserving systems. https://doi.org/10.1103/physrevb.93.115113

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