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arXiv · 2305.14043

Zero sound in a quantum gas of spin-3/2 atoms with multipole exchange interaction

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

In the context of quantum gases, we obtain a many-body Hamiltonian for spin-3/2 atoms with general multipole (spin, quadrupole, and octupole) exchange interaction by employing the apparatus of irreducible spherical tensor operators. This Hamiltonian implies the finite-range interaction, whereas, for zero-range (contact) potentials parameterized by the $s$-wave scattering length, the multipole exchange interaction becomes irrelevant. Following the reduced description method for quantum systems, we derive the quantum kinetic equation for spin-3/2 atoms in a magnetic field and apply it to examine the high-frequency oscillations known as zero sound.

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M. Bulakhov, A. S. Peletminskii, Yu. V. Slyusarenko. 2023-05-23. Zero sound in a quantum gas of spin-3/2 atoms with multipole exchange interaction. https://doi.org/10.1088/1751-8121/acfc0a

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