Abstract
Ultracold atomic gases have become a unique platform for the investigation of few- and many-body physics. So far, major achievements have been made for atoms with s-wave interaction, while its p-wave counterpart has received comparatively much less attention.
In this talk, I investigate the properties of a spin-1/2 bosonic gases with an attractive p-wave in addition to a repulsive s-wave interaction. We propose a new ground state ansatz that incorporates the non-trivial p-wave correlation in a many-body wave function that corresponds to a fragmented condensate. We discuss the ground state energy, stability and the excitation spectrum of the system, which in general exhibits anisotropic behavior. The important role of the effective range is illustrated. We also investigate the spin excitation and compare our ansatz with the traditional coherent state, arguing that our ansatz is a much more natural candidate for the ground state.
In addition, I discuss a p-wave three-body problem in the resonant limit in one dimension, which also incorporates the effects of effective range. We derive the relevant STM equation to describe the three-body scattering and discuss the existence and the binding energy of the three-body bound state.
Anyone interested is welcome to attend.