论文标题

非铁质边缘爆发而没有皮肤局部

Non-Hermitian edge burst without skin localizations

论文作者

Yuce, C., Ramezani, H.

论文摘要

在具有开放边界条件下的有损晶格中的一类非铁量子行走中,衰减概率的分布出乎意料的峰出现在边缘,被称为边缘爆发。有人提出,边缘爆发是共同起源于非铁皮皮肤效应(NHSE)和频谱的虚构无间隙性的[Wen-Tan Xue等人,Phys。莱特牧师。 128,120401(2022)]。使用特定的一维损耗晶格,损失率不均匀,我们表明即使在没有皮肤定位的情况下,边缘爆发也可能发生。此外,我们讨论如果频谱满足虚构的间隙条件,则可能不会出现边缘爆发。除了它的基本重要性外,通过消除观察边缘爆发效应的限制,我们的结果为边缘爆发效果的未来应用打开了更广泛的设计空间。

In a class of non-Hermitian quantum walk in lossy lattices with open boundary conditions, an unexpected peak in the distribution of the decay probabilities appears at the edge, dubbed edge burst. It is proposed that the edge burst is originated jointly from the non-Hermitian skin effect (NHSE) and the imaginary gaplessness of the spectrum [Wen-Tan Xue et al., Phys. Rev. Lett. 128, 120401 (2022)]. Using a particular one-dimensional lossy lattice with a nonuniform loss rate, we show that the edge burst can occur even in the absence of skin localization. Furthermore, we discuss that the edge burst may not appear if the spectrum satisfies the imaginary gaplesness condition. Aside from its fundamental importance, by removing the restrictions on observing the edge burst effect, our results open the door to broader design space for future applications of the edge burst effect.

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