A variational method based on weighted graph states

TL;DR

This paper extends a variational method based on weighted graph states to higher spins and demonstrates its effectiveness using the boson Hubbard model, aiming to find ground states in complex spin systems.

Contribution

It introduces an extension of the weighted graph states variational approach to higher spins and applies it to the boson Hubbard model.

Findings

Successfully extended the method to higher spins.

Demonstrated applicability on the boson Hubbard model.

Showed potential for analyzing complex spin systems.

Abstract

In a recent article [Phys. Rev. Lett. 97 (2006), 107206], we have presented a class of states which is suitable as a variational set to find ground states in spin systems of arbitrary spatial dimension and with long-range entanglement. Here, we continue the exposition of our technique, extend from spin 1/2 to higher spins and use the boson Hubbard model as a non-trivial example to demonstrate our scheme.