论文标题

在具有广义边界条件的超导电线中的边缘状态,majorana fermions和拓扑顺序

Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions

论文作者

Maiellaro, A., Romeo, F., Illuminati, F.

论文摘要

我们研究了模仿与外部环境耦合的通用边界条件的影响下,一维拓扑超导体的性质。我们确定边界效应的一般四参数分类,并表明可以通过适当固定边界参数来破坏或保留粒子孔和反射对称性。当颗粒 - 孔对称性破裂时,由于与外部自由度(Quasiparticle中毒)的杂交而丢失了边缘模式的拓扑保护。我们通过考虑拓扑特性的不同量化符来评估各种方案中边缘模式的鲁棒性。特别是,我们研究了长距离,边缘到边缘量子相互信息和壁板纠缠的弹性,测量了majora刺激的非局部相关性。除了它们与拓扑系统的开放动力学相关性外,这些结果还可以为在逼真的条件下适当地嵌入纳米版本上的低维拓扑系统的适当嵌入提供了有用的指南。

We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions mimicking the coupling with external environments. We identify a general four-parameters classification of the boundary effects and show that particle-hole and reflection symmetries can be broken or preserved by appropriately fixing the boundary parameters. When the particle-hole symmetry is broken, the topological protection of the edge modes is lost due to the hybridization with the external degrees of freedom (quasiparticle poisoning). We assess the robustness of the edge modes in the various regimes by considering different quantifiers of topological properties. In particular, we investigate the resilience of the long-distance, edge-to-edge quantum mutual information and squashed entanglement, measuring the nonlocal correlations of the Majorana excitations. Besides their relevance for the open dynamics of topological systems, these results may provide a useful guide to the appropriate embedding of low-dimensional topological systems on nanodevices in realistic conditions.

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