General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases

M. Bulakhov; A. S. Peletminskii; Yu. V. Slyusarenko

doi:10.1016/j.aop.2025.169920

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arXiv · 2409.16995

General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases

M. Bulakhov·A. S. Peletminskii·Yu. V. Slyusarenko

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Abstract

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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M. Bulakhov, A. S. Peletminskii, Yu. V. Slyusarenko. 2024-09-25. General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases. https://doi.org/10.1016/j.aop.2025.169920

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