English

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

Quantum Gases 2025-02-25 v3

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.

Keywords

Cite

@article{arxiv.2409.16995,
  title  = {General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases},
  author = {M. Bulakhov and A. S. Peletminskii and Yu. V. Slyusarenko},
  journal= {arXiv preprint arXiv:2409.16995},
  year   = {2025}
}