Stability and collapse of fermions in a binary dipolar boson-fermion 164Dy-161Dy mixture

TL;DR

This paper models the stability and collapse phenomena in a dipolar boson-fermion mixture of dysprosium isotopes using a time-dependent mean-field approach, revealing collapse dynamics and anisotropic density distributions.

Contribution

It introduces a 3D mean-field hydrodynamic model for dipolar boson-fermion mixtures, analyzing stability, collapse, and anisotropic effects with realistic interactions.

Findings

Collapse can be triggered by tuning interspecies interactions.

Collapse leads to fermionic fragmentation and explosions.

Anisotropic dipolar interactions cause directional density variations.

Abstract

We suggest a time-dependent mean-field hydrodynamic model for a binary dipolar boson-fermion mixture to study the stability and collapse of fermions in the $^{164}$Dy-$^{161}$Dy mixture. The condition of stability of the dipolar mixture is illustrated in terms of phase diagrams. A collapse is induced in a disk-shaped stable binary mixture by jumping the interspecies contact interaction from repulsive to attractive by the Feshbach resonance technique. The subsequent dynamics is studied by solving the time-dependent mean-field model including three-body loss due to molecule formation in boson-fermion and boson-boson channels. Collapse and fragmentation in the fermions after subsequent explosions are illustrated. The anisotropic dipolar interaction leads to anisotropic fermionic density distribution during collapse. The present study is carried out in three-dimensional space using realistic values of dipolar and contact interactions.