论文标题
Moebius Ladder Lattices中的非定向性诱导PT相变
Non-orientability induced PT phase transition in Moebius ladder lattices
论文作者
论文摘要
我们研究了由非定向性和非富列PT对称性之间的相互作用引起的梯子晶格的能量光谱中的平均时间（PT）相变。能量光谱显示出圆形梯子晶格的水平穿越，由于正常条的可方向性，因此在现场能量增加的情况下增加了水平。然而，由于Moebius带的不可方向性，能量水平显示了PT对称的Moebius梯子晶格中的PT相变。为了了解PT对称阶段的水平交叉，我们使用复杂的旋转角度概括了旋转转换。我们还研究了由PT对称梯子晶格中剧烈扭曲的界面引起的谐振隧穿的修饰。最后，我们发现，由于自动态态，在PT-对称系统的特殊点上恢复了零能量的完美传输。
We study parity-time (PT) phase transitions in the energy spectra of ladder lattices caused by the interplay between non-orientability and non-Hermitian PT symmetry. The energy spectra show level crossings in circular ladder lattices with increasing on-site energy gain-loss because of the orientability of a normal strip. However, the energy levels show PT phase transitions in PT-symmetric Moebius ladder lattices due to the non-orientability of a Moebius strip. In order to understand the level crossings of PT symmetric phases, we generalize the rotational transformation using a complex rotation angle. We also study the modification of resonant tunneling induced by a sharply twisted interface in PT-symmetric ladder lattices. Finally, we find that the perfect transmissions at the zero energy are recovered at the exceptional points of the PT-symmetric system due to the self-orthogonal states.
