The General Structure of Bose Gases with Arbitrary Spin

TL;DR

This paper develops a general method to analyze the structure of Bose gases with arbitrary spin, revealing new insights into their angular momentum eigenstates and interactions, with applications to various spin cases.

Contribution

A novel method for uncovering the elementary building blocks and interactions of angular momentum eigenstates in Bose gases with arbitrary spin.

Findings

Revealed surprising structures in Bose gases with integer and half-integer spins.

Developed a general framework applicable to multiple spin cases.

Uncovered new relations between elementary building blocks of angular momentum states.

Abstract

Motivated by the recent discoveries of spin-1 and spin-1/2 Bose gas, we have studied the general structure of the Bose gases with arbitrary spin. A general method is developed to uncover the elementary building blocks of the angular momentum eigenstates, as well as the relations (or interactions) between them. Applications of this method to Bose gases with integer spins (f=1,2,3) and half integer spins (f=1/2,3/2) reveal many surprising structures.