研究任意自旋量子原子气体激发的一般无碰撞动力学方法

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2025-03-01 Epub Date: 2025-01-08 DOI:10.1016/j.aop.2025.169920
M. Bulakhov , A.S. Peletminskii , Yu.V. Slyusarenko
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引用次数: 0

摘要

我们开发了一种通用的动力学方法来研究任意自旋量子气体中的高频集体激发。为此,我们制定了一个包括多极交换相互作用以及多极矩与外场耦合的多体哈密顿量。通过线性化各自的无碰撞动力学方程,我们发现了一个一般的色散方程,使我们能够检查服从一个或另一个量子统计的任意自旋原子的高频集体模式。我们分析了一些描述玻色和费米气体的自旋波和零声的特解。
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General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases
We develop a general kinetic approach to studying high-frequency collective excitations in arbitrary-spin quantum gases. To this end, we formulate a many-body Hamiltonian that includes the multipolar exchange interaction as well as the coupling of a multipolar moment with an external field. By linearizing the respective collisionless kinetic equation, we find a general dispersion equation that allows us to examine the high-frequency collective modes for arbitrary-spin atoms obeying one or another quantum statistics. We analyze some of its particular solutions describing spin waves and zero sound for Bose and Fermi gases.
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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