{"title":"Non-Hermitian coupling strength induced exceptional points and nonlinear effects","authors":"Wenlin Li, Chong Li, Heshan Song","doi":"10.1007/s11128-025-04747-0","DOIUrl":null,"url":null,"abstract":"<div><p>Non-Hermitian quantum theories with parity-time symmetry have been rapidly developed and hold great promise for future applications. Unlike most of the existing works that consider the symmetry of the free energy terms (e.g., gain–loss system), in this paper it is proved that a realizable non-Hermitian two-body interaction with asymmetric coupling strength between quantum resonance systems can also have a real spectrum after the exceptional point. Such a non-Hermitian interaction is realized in designed optomechanics, and we find that some nonlinear effects, such as synchronization phase transition and chaos, are observed as expected. Moreover, all quantum properties of the whole system, including the asymmetric interaction parts, can be solved by full quantum theory. Our results provide a platform for realizing parity-time symmetry devices and studying properties of non-Hermitian quantum mechanics.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04747-0","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Non-Hermitian quantum theories with parity-time symmetry have been rapidly developed and hold great promise for future applications. Unlike most of the existing works that consider the symmetry of the free energy terms (e.g., gain–loss system), in this paper it is proved that a realizable non-Hermitian two-body interaction with asymmetric coupling strength between quantum resonance systems can also have a real spectrum after the exceptional point. Such a non-Hermitian interaction is realized in designed optomechanics, and we find that some nonlinear effects, such as synchronization phase transition and chaos, are observed as expected. Moreover, all quantum properties of the whole system, including the asymmetric interaction parts, can be solved by full quantum theory. Our results provide a platform for realizing parity-time symmetry devices and studying properties of non-Hermitian quantum mechanics.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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