Longitudinal and transverse breathing oscillations in Bose–Fermi mixtures of Yb atoms at zero temperature in the largely prolate deformed traps

We study the breathing oscillations in Bose–Fermi mixtures of Yb isotopes in the largely prolate deformed trap, which are realized by the Kyoto group. We take three combinations of the Yb isotopes, 170Yb–171Yb , 170Yb–173Yb and 174Yb–173Yb , whose boson–fermion interactions are weakly repulsive, strongly attractive and strongly repulsive. The collective oscillations in the deformed trap are calculated in the dynamical time-development approach, which is formulated with the time-dependent Gross–Pitaevskii and Vlasov equations. We analyse the results with the intrinsic oscillation modes of the deformed system, obtained in the scaling method, and show that the damping and forced-oscillation effects of the intrinsic modes explain time-variation behaviour of oscillations, especially, in the fermion transverse mode.

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