Exact solutions of an SO(5)-invariant spin-3/2 Fermi gas model

TL;DR

This paper presents an exactly solvable one-dimensional spin-3/2 fermion gas model with novel exotic spin excitations, providing exact solutions via Bethe ansatz and revealing new fractionalized spin states.

Contribution

It introduces a new exactly solvable model for spin-3/2 fermions and uncovers exotic fractional spin excitations using Bethe ansatz.

Findings

Discovery of heavy spinon with fractional spin 3/2

Identification of neutral spinon with spin zero

Detection of dressed spinon with spin 1/2

Abstract

An exactly solvable model describing the dilute spin-3/2 fermion gas in one-dimensional optical trap is proposed. The diagonalization of the model Hamiltonian is derived by means of the Bethe ansatz method. Exotic spin excitations such as the heavy spinon with fractional spin 3/2, the neutral spinon with spin zero and the dressed spinon with spin 1/2 are found based on the exact solution.