Anomalous time-reversal symmetric non-Hermitian systems

doi:10.1088/1674-1056/ad2502

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/ad2502

Anomalous time-reversal symmetric non-Hermitian systems

Yifei Yi(易益妃)†

Sichuan Normal University, Chengdu 610066, China

收稿日期:2023-11-12 修回日期:2024-01-02 接受日期:2024-02-02 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Yifei Yi E-mail:2946304594@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12304201).

Anomalous time-reversal symmetric non-Hermitian systems

Yifei Yi(易益妃)†

Sichuan Normal University, Chengdu 610066, China

Received:2023-11-12 Revised:2024-01-02 Accepted:2024-02-02 Online:2024-06-18 Published:2024-06-18
Contact: Yifei Yi E-mail:2946304594@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12304201).

摘要/Abstract

摘要： The conditions for the emergence of the non-Hermitian skin effect, as a unique physical response of non-Hermitian systems, have now become one of the hot research topics. In this paper, we study the novel physical responses of non-Hermitian systems with anomalous time-reversal symmetry, in both one dimension and two dimensions. Specifically, we focus on whether the systems will exhibit a non-Hermitian skin effect. We employ the theory of generalized Brillouin zone and also numerical methods to show that the anomalous time-reversal symmetry can prevent the skin effect in one-dimensional non-Hermitian systems, but is unable to exert the same effectiveness in two-dimensional cases.

关键词: skin effect, symmetry, non-Hermitian systems

Abstract: The conditions for the emergence of the non-Hermitian skin effect, as a unique physical response of non-Hermitian systems, have now become one of the hot research topics. In this paper, we study the novel physical responses of non-Hermitian systems with anomalous time-reversal symmetry, in both one dimension and two dimensions. Specifically, we focus on whether the systems will exhibit a non-Hermitian skin effect. We employ the theory of generalized Brillouin zone and also numerical methods to show that the anomalous time-reversal symmetry can prevent the skin effect in one-dimensional non-Hermitian systems, but is unable to exert the same effectiveness in two-dimensional cases.

Key words: skin effect, symmetry, non-Hermitian systems

中图分类号: (Quantum systems with finite Hilbert space)

03.65.Aa

03.65.Yz (Decoherence; open systems; quantum statistical methods)

Yifei Yi(易益妃). Anomalous time-reversal symmetric non-Hermitian systems[J]. 中国物理B, 2024, 33(6): 60302-060302.

Yifei Yi(易益妃). Anomalous time-reversal symmetric non-Hermitian systems[J]. Chin. Phys. B, 2024, 33(6): 60302-060302.

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Anomalous time-reversal symmetric non-Hermitian systems

Anomalous time-reversal symmetric non-Hermitian systems

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