从 BBGKY 层次的扩展 Singwi-Tosi-Land-Sjölander 闭合看强相关量子系统的动力学特征

IF 1.3 4区物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS

Contributions to Plasma Physics Pub Date : 2024-04-12 DOI:10.1002/ctpp.202400018

Hanno Kählert

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引用次数: 0

摘要

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。

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Dynamics of strongly correlated quantum systems from an extended Singwi-Tosi-Land-Sjölander closure for the BBGKY hierarchy

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.

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来源期刊

Contributions to Plasma Physics 物理-物理：流体与等离子体

CiteScore

2.90

自引率

12.50%

发文量

110

审稿时长

4-8 weeks

期刊介绍： Aims and Scope of Contributions to Plasma Physics: Basic physics of low-temperature plasmas; Strongly correlated non-ideal plasmas; Dusty Plasmas; Plasma discharges - microplasmas, reactive, and atmospheric pressure plasmas; Plasma diagnostics; Plasma-surface interaction; Plasma technology; Plasma medicine.