{"title":"非厄米wanner - stark梯系的动态moir<s:1>样图案","authors":"H.P. Zhang, Z. Song","doi":"10.1016/j.aop.2025.170049","DOIUrl":null,"url":null,"abstract":"<div><div>We study the dynamical behavior of the non-Hermitian Wannier–Stark ladder system, which is a non-Hermitian Su–Schrieffer–Heeger chain with a position-dependent real potential. In the presence of a linear external field, we employ the non-Hermitian Floquet method and find that the energy levels are sensitive to the field. The system exhibits two distinct dynamic behaviors separated by an exceptional point: one in the <span><math><mi>PT</mi></math></span> symmetrical region associated with two real Wannier–Stark ladders, and another in the <span><math><mi>PT</mi></math></span> symmetry-breaking region associated with complex conjugate ladders. As the boundary between the two regions, two ladders coalesce into a single ladder. In the case of a non-linear field, these two distinct regions appear alternately along the chain, exhibiting dynamic Moiré-like patterns.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170049"},"PeriodicalIF":3.0000,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Moiré-like pattern in non-Hermitian Wannier–Stark ladder system\",\"authors\":\"H.P. Zhang, Z. Song\",\"doi\":\"10.1016/j.aop.2025.170049\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study the dynamical behavior of the non-Hermitian Wannier–Stark ladder system, which is a non-Hermitian Su–Schrieffer–Heeger chain with a position-dependent real potential. In the presence of a linear external field, we employ the non-Hermitian Floquet method and find that the energy levels are sensitive to the field. The system exhibits two distinct dynamic behaviors separated by an exceptional point: one in the <span><math><mi>PT</mi></math></span> symmetrical region associated with two real Wannier–Stark ladders, and another in the <span><math><mi>PT</mi></math></span> symmetry-breaking region associated with complex conjugate ladders. As the boundary between the two regions, two ladders coalesce into a single ladder. In the case of a non-linear field, these two distinct regions appear alternately along the chain, exhibiting dynamic Moiré-like patterns.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"479 \",\"pages\":\"Article 170049\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491625001307\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625001307","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Dynamic Moiré-like pattern in non-Hermitian Wannier–Stark ladder system
We study the dynamical behavior of the non-Hermitian Wannier–Stark ladder system, which is a non-Hermitian Su–Schrieffer–Heeger chain with a position-dependent real potential. In the presence of a linear external field, we employ the non-Hermitian Floquet method and find that the energy levels are sensitive to the field. The system exhibits two distinct dynamic behaviors separated by an exceptional point: one in the symmetrical region associated with two real Wannier–Stark ladders, and another in the symmetry-breaking region associated with complex conjugate ladders. As the boundary between the two regions, two ladders coalesce into a single ladder. In the case of a non-linear field, these two distinct regions appear alternately along the chain, exhibiting dynamic Moiré-like patterns.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.