{"title":"受硬壁限制的两个分离玻色-爱因斯坦凝聚体中的Nambu-Goldstone模","authors":"Hoang Van Quyet","doi":"10.1007/s10909-025-03285-4","DOIUrl":null,"url":null,"abstract":"<div><p>In the framework of the Gross-Pitaevskii theory, based on the double-parabola approximation method, we successfully found the expressions for dispersion relations of three NG modes of two immiscible Bose-Einstein condensates restricted by a hard wall (two phonons and a ripplon). For the first condensate component, which is not confined by a hard wall, we found one phonon and one ripplon. Meanwhile, for the second component confined by a hard wall, we found only one phonon (the dispersion relation depends on the position of the hard wall), and this manifests explicitly the finite-size effect.</p></div>","PeriodicalId":641,"journal":{"name":"Journal of Low Temperature Physics","volume":"219 3-4","pages":"145 - 156"},"PeriodicalIF":1.1000,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nambu-Goldstone Modes in Two Segregated Bose-Einstein Condensates Limited by a Hard Wall\",\"authors\":\"Hoang Van Quyet\",\"doi\":\"10.1007/s10909-025-03285-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In the framework of the Gross-Pitaevskii theory, based on the double-parabola approximation method, we successfully found the expressions for dispersion relations of three NG modes of two immiscible Bose-Einstein condensates restricted by a hard wall (two phonons and a ripplon). For the first condensate component, which is not confined by a hard wall, we found one phonon and one ripplon. Meanwhile, for the second component confined by a hard wall, we found only one phonon (the dispersion relation depends on the position of the hard wall), and this manifests explicitly the finite-size effect.</p></div>\",\"PeriodicalId\":641,\"journal\":{\"name\":\"Journal of Low Temperature Physics\",\"volume\":\"219 3-4\",\"pages\":\"145 - 156\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Low Temperature Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10909-025-03285-4\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Low Temperature Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10909-025-03285-4","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
Nambu-Goldstone Modes in Two Segregated Bose-Einstein Condensates Limited by a Hard Wall
In the framework of the Gross-Pitaevskii theory, based on the double-parabola approximation method, we successfully found the expressions for dispersion relations of three NG modes of two immiscible Bose-Einstein condensates restricted by a hard wall (two phonons and a ripplon). For the first condensate component, which is not confined by a hard wall, we found one phonon and one ripplon. Meanwhile, for the second component confined by a hard wall, we found only one phonon (the dispersion relation depends on the position of the hard wall), and this manifests explicitly the finite-size effect.
期刊介绍:
The Journal of Low Temperature Physics publishes original papers and review articles on all areas of low temperature physics and cryogenics, including theoretical and experimental contributions. Subject areas include: Quantum solids, liquids and gases; Superfluidity; Superconductivity; Condensed matter physics; Experimental techniques; The Journal encourages the submission of Rapid Communications and Special Issues.