A self-bound matter-wave boson-fermion quantum ball

作者：Adhikari S K^*

来源：Laser Physics Letters, 2018, 15(9): 095501.

DOI：10.1088/1612-202X/aacb0a

• Bose-Einstein condensate
• superfluid fermion
• soliton

We demonstrate the possibility of creating a self-bound stable three-dimensional matter-wave spherical boson-fermion quantum ball in the presence of an attractive boson-fermion interaction and a small repulsive three-boson interaction. The two-boson interaction could be attractive or repulsive whereas the fermions are taken to be in a fully-paired super-fluid state in the Bardeen-Cooper-Schreifer (quasi-noninteracting weak-coupling) limit. We also include the Lee-Huang-Yang (LHY) correction to a repulsive bosonic interaction term. The repulsive three-boson interaction and the LHY correction can stop a global collapse while acting jointly or separately. The present study is based on a mean-field model, where the bosons are subject to a Gross-Pitaevskii (GP) Lagrangian functional and the fully-paired fermions are described by a Galilean-invariant density functional Lagrangian. The boson-fermion interaction is taken to be the mean-field Hartree interaction, quite similar to the interaction term in the GP equation. The study is illustrated by a variational and a numerical solution of the mean-field model for the boson-fermion Li-7-Li-6 system.

• 出版日期2018-9
• 单位Univ Estadual Paulista