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Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

机译：具有多种Majorana边缘模式的非赫米特洛伊（Hermitian）Floquet拓扑超导体

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摘要

Majorana edge modes are candidate elements of topological quantum computing. In this paper, we propose a Floquet engineering approach to generate multiple non-Hermitian Majorana zero and π modes at the edges of a one-dimensional topological superconductor. Focusing on a Kitaev chain with periodically kicked superconducting pairings and gain/losses in the chemical potential or nearest-neighbor hopping terms, we found rich non-Hermitian Floquet topological superconducting phases, which are originated from the interplay between drivings and non-Hermitian effects. Each of the phases is characterized by a pair of topological winding numbers, which can in principle take arbitrarily large integer values thanks to the applied driving fields. Under the open boundary condition, these winding numbers also predict the number of degenerate Majorana edge modes with quasienergies zero and π. Our findings thus expand the family of Floquet topological phases in non-Hermitian settings, with potential applications in realizing environmentally robust Floquet topological quantum computations.
机译：Majorana边缘模式是拓扑量子计算的候选元素。在本文中，我们提出了一种Floquet工程方法，以在一维拓扑超导体的边缘生成多个非Hermitian Majorana零模式和π模式。着眼于Kitaev链，这些链具有周期性的超导配对和化学势或最邻近跳变项的增益/损耗，我们发现了丰富的非Hermitian Floquet拓扑超导相，其起源于驱动和非Hermitian效应之间的相互作用。每个相的特征在于一对拓扑绕组数，由于所施加的驱动场，它们在原则上可以取任意大的整数值。在开放边界条件下，这些绕组数还预测了准能量为零和π的退化马略拉边模的数量。因此，我们的发现扩展了非Hermitian环境中Floquet拓扑相的族，并在实现对环境稳定的Floquet拓扑量子计算中具有潜在的应用。

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  • 来源
    《Physical review》 |2020年第1期|014306.1-014306.15|共15页
  • 作者

    Longwen Zhou;

  • 作者单位

    Department of Physics College of Information Science and Engineering Ocean University of China Qingdao 266100 China Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China;

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