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Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators

机译:非麦克尔米特浮子绝缘子中的拓扑阶段和非探测边缘状态

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摘要

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. Floquet topological insulators represent one of the possible venues for engineering topological phases, yet they have been so far largely restricted to temporal modulation of Hermitian potentials. On the other hand, in many physical systems, including acoustic and optical systems, modulating loss or gain can be more straightforwardly achieved. On the other hand, non-Hermitian Floquet potentials have not been shown to yield any novel topological phases to date. It is therefore of great interest to explore time-modulated non-Hermitian potentials in periodic lattices, and the emergence of topological phases associated with them. Here we demonstrate that non-Hermitian Hamiltonians can indeed result in topological phases supporting nonreciprocal edge states propagating without dissipation, as well as regimes of dissipative and amplifying topological edge transport.
机译:由于其迷人的物理性质,量子和古典系统中的拓扑阶段具有重要意义。 Foquet拓扑绝缘体代表了工程拓扑阶段的可能场所之一,但到目前为止,他们已经很大程度上仅限于麦克尔尼人的潜力的时间调制。另一方面,在许多物理系统中,包括声学和光学系统,可以更直接地实现调制损耗或增益。另一方面,迄今未显示非封闭型浮子电位,以产生任何新颖的拓扑阶段。因此,探索周期性格子中的时调非隐士潜力以及与它们相关联的拓扑阶段的出现是非常有兴趣的。在这里,我们证明了非私人汉密尔顿人民实际上可以导致支持非透视态势的拓扑相,而不会耗散,以及耗散和放大拓扑边缘传输的制度。

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  • 来源
    《Physical review》 |2019年第4期|045423.1-045423.9|共9页
  • 作者单位

    CUNY Grove Sch Engn City Coll Dept Elect Engn 140th St & Convent Ave New York NY 10031 USA|CUNY Grad Ctr Phys Program New York NY 10016 USA;

    CUNY Grove Sch Engn City Coll Dept Elect Engn 140th St & Convent Ave New York NY 10031 USA|CUNY Grad Ctr Phys Program New York NY 10016 USA;

    CUNY Grove Sch Engn City Coll Dept Elect Engn 140th St & Convent Ave New York NY 10031 USA|CUNY Grad Ctr Phys Program New York NY 10016 USA;

    CUNY Grove Sch Engn City Coll Dept Elect Engn 140th St & Convent Ave New York NY 10031 USA|CUNY Grad Ctr Phys Program New York NY 10016 USA|CUNY Adv Sci Res Ctr Photon Initiat New York NY 10031 USA;

    CUNY Grove Sch Engn City Coll Dept Elect Engn 140th St & Convent Ave New York NY 10031 USA|CUNY Grad Ctr Phys Program New York NY 10016 USA;

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