{"title":"Stability analysis of Bose gas: effect of external trapping and three-body interaction with Gross–Pitaevskii equation in Tonks–Girardeau regimes","authors":"Rajmohan Sasireka, Olivier Tiokeng Lekeufack, Ambikapathy Uthayakumar, Subramaniyan Sabari","doi":"10.1007/s40042-025-01354-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we investigate the stability aspects of quintic Gross–Pitaevskii (GP) equation with the presence and absence of external trapping potential for a Bose gas (BG) in both the Tonks–Girardeau (TG) and the super Tonks–Girardeau (sTG) regimes. For this purpose, we compute both analytically and numerically a pure quintic GP equation with the presence of the scattering lengths. Using the time-dependent variational approach, we derive the equations of motion and effective potential of the system for both cases. Through the effective potential, we discuss the stability properties of pure quintic GP equation and obtain the modulational instability condition of BECs. The variational results are verified by means of direct numerical simulations using split-step Crank–Nicolson method and the observed results are in agreement with the analytical predictions.</p></div>","PeriodicalId":677,"journal":{"name":"Journal of the Korean Physical Society","volume":"86 10","pages":"945 - 956"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Physical Society","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s40042-025-01354-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we investigate the stability aspects of quintic Gross–Pitaevskii (GP) equation with the presence and absence of external trapping potential for a Bose gas (BG) in both the Tonks–Girardeau (TG) and the super Tonks–Girardeau (sTG) regimes. For this purpose, we compute both analytically and numerically a pure quintic GP equation with the presence of the scattering lengths. Using the time-dependent variational approach, we derive the equations of motion and effective potential of the system for both cases. Through the effective potential, we discuss the stability properties of pure quintic GP equation and obtain the modulational instability condition of BECs. The variational results are verified by means of direct numerical simulations using split-step Crank–Nicolson method and the observed results are in agreement with the analytical predictions.
期刊介绍：
The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.
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