Breathing Oscillations in Bose - Fermi Mixing Gases with Yb atoms in the Largely Prolate Deformed Traps

TL;DR

This paper investigates breathing oscillations in Bose-Fermi Yb mixtures within prolate deformed traps, analyzing how different interaction strengths influence collective dynamics using time-dependent equations and mode analysis.

Contribution

It introduces a combined dynamical and mode analysis approach to study oscillations in Bose-Fermi mixtures with various interaction regimes in deformed traps.

Findings

Damping and forced oscillations significantly affect fermion transverse modes.

Interaction strength alters the nature of collective oscillations.

Intrinsic mode analysis explains time-variation in oscillation behavior.

Abstract

We study the breathing oscillations in bose-fermi mixtures with Yb isotopes in the largely prolate deformed trap, which are realized by Kyoto group. We choose the three combinations of the Yb isotopes, Yb170-Yb171, Yb170-Yb173 and Yb174-Yb173, 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 the Vlasov equations. We analyze the results in the time-development approach with the intrinsic oscillation modes of the deformed system, which are obtained using the scaling method, and show that the damping and forced-oscillation effects of the intrinsic modes give time-variation of oscillations, especially, in the fermion transverse mode.