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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Source: Crossref
Published: Oct 4, 2023
DOI: 10.1088/1751-8121/acfc0a
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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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