Coupled Breathing Oscillations of Two-Component Fermion Condensates in Deformed Traps

TL;DR

This paper studies the collective breathing oscillations in two-component fermion condensates within deformed traps, revealing how trap shape influences mode coupling and oscillation behaviors.

Contribution

It provides a detailed analysis of monopole and quadrupole mode coupling in fermion condensates using Thomas-Fermi theory and scaling approximation, especially near spherical traps.

Findings

Modes decouple in highly deformed traps

Coupling increases as traps become spherical

Complex oscillation behaviors emerge near spherical symmetry

Abstract

We investigate collective excitations coupled with monopole and quadrupole oscillations in two-component fermion condensates in deformed traps. The frequencies of monopole and dipole modes are calculated using Thomas-Fermi theory and the scaling approximation. When the trap is largely deformed, these collective motions are decoupled to the transverse and longitudinal breathing oscillation modes. As the trap approaches becoming spherical, however, they are coupled and show complicated behaviors.