Generalization to Arbitrary Spin $\boldsymbol{\it{S}}$

T. Yamamoto

Ying Wu, Xiaoxue Yang, Chang-Pu Sun

We develop a systematical method by which the investigation of the general structure of Bose-Einstein condensates with arbitrary spin has been reduced to solving a one-order linear partial-differential equation of a very simple form. Its general solutions for arbitrary spin are studied and a procedure is also developed to seek systematically the building blocks for constructing the general structure of Bose-Einstein condensates with arbitrary spin.

Xing Chen, Zhenwei Zhang, Huan Zhao +3 more

We investigate spin squeezing effects of trapped ions in an off-resonance optical potential system using the arbitrary range spin—spin interaction and transverse field model. The collective spin noises at any time are analyzed exactly. The general expression of spin squeezing factor is presented for arbitrary-range spin interaction. For the nearest-neighbor and next-nearest neighbor spin interaction model, the analytic solutions are reduced from the general expressions. It is shown that the maximum spin squeezing is enhanced for the general arbitrary-range spin interaction compared with the nearest-neighbor interaction model as the long-range interaction with arbitrary sites enforces stronger correlation.

Richard J. Blume

Tin-Lun Ho, Lan Yin

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.

Kunio Funahashi, Tarō Kashiwa, Shuji Nima +1 more