Abstract We consider one system in which the terminal dots of a one-dimensional quantum-dot chain couple equally to the left and right leads and study the influence of PT -symmetric complex potentials on the quantum transport process. It is found that in the absence of the complex potentials, remarkable decoupling and antiresonance phenomena are able to co-occur in the transport process. For the chains with odd(even) dots, their even(odd)-numbered molecular states decouple from the leads. Meanwhile, antiresonance occurs at the positions of the even(odd)-numbered eigenenergies of the sub-chains without terminal dots. When the PT -symmetric complex potentials are applied on the terminal dots, the decoupling phenomenon is found to transform into the Fano antiresonance. These results can helpful in understanding the quantum transport modified by the PT symmetry in non-Hermitian discrete systems.

中文翻译：

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PT对称复势对量子输运过程中解耦机制的影响

摘要 我们考虑一个系统，其中一维量子点链的末端点与左右引线相等地耦合，并研究了 PT 对称复势对量子输运过程的影响。发现在没有复势的情况下，显着的解耦和反共振现象能够在传输过程中同时发生。对于具有奇（偶）点的链，它们的偶（奇）编号分子状态与引线解耦。同时，反共振发生在没有终端点的子链的偶数（奇数）编号特征能量的位置。当在终端点上施加 PT 对称复电位时，发现解耦现象转化为 Fano 反共振。