{"title":"Dynamics of strongly correlated quantum systems from an extended Singwi-Tosi-Land-Sjölander closure for the BBGKY hierarchy","authors":"Hanno Kählert","doi":"10.1002/ctpp.202400018","DOIUrl":null,"url":null,"abstract":"<p>The BBGKY hierarchy in the Wigner representation is used with an extended Singwi-Tosi-Land-Sjölander (STLS) ansatz for the two-particle distribution function [H. Kählert, G. J. Kalman, and M. Bonitz, Phys. Rev. E 90, 011101 (2014)] to study the density response function and the dispersion relation of collective modes in a strongly coupled quantum system. It is shown that the local field correction (LFC) and the dispersion relation reduce to the results of the Quasi-Localized Charge Approximation (QLCA) in the classical limit. In the quantum case, the LFC acquires a frequency-dependence, similar to the quantum version of the STLS theory. The dispersion relation is governed by a generalization of the QLCA dynamical matrix. The results are expected to be relevant for the analysis of collective modes in quantum liquids with strong correlations.</p>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ctpp.202400018","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions to Plasma Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/ctpp.202400018","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
The BBGKY hierarchy in the Wigner representation is used with an extended Singwi-Tosi-Land-Sjölander (STLS) ansatz for the two-particle distribution function [H. Kählert, G. J. Kalman, and M. Bonitz, Phys. Rev. E 90, 011101 (2014)] to study the density response function and the dispersion relation of collective modes in a strongly coupled quantum system. It is shown that the local field correction (LFC) and the dispersion relation reduce to the results of the Quasi-Localized Charge Approximation (QLCA) in the classical limit. In the quantum case, the LFC acquires a frequency-dependence, similar to the quantum version of the STLS theory. The dispersion relation is governed by a generalization of the QLCA dynamical matrix. The results are expected to be relevant for the analysis of collective modes in quantum liquids with strong correlations.
Wigner 表征中的 BBGKY 层次结构与双粒子分布函数的扩展 Singwi-Tosi-Land-Sjölander (STLS) 解析[H. Kählert, G. J. Kalman, and M. Bonitz, Phys. Rev. E 90, 011101 (2014)]一起用于研究强耦合量子系统中集体模式的密度响应函数和弥散关系。结果表明，局部场校正（LFC）和频散关系可以还原为经典极限中准局部电荷近似（QLCA）的结果。在量子情况下，LFC 与频率相关，类似于 STLS 理论的量子版本。色散关系受 QLCA 动态矩阵广义化的支配。这些结果有望用于分析具有强相关性的量子液体中的集体模式。
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
