Factorization in spin systems under general fields and ground state engineering

M. CEREZO; R. ROSSIGNOLI; CANOSA, N.

Paraty

Workshop; VI Quantum Information School and Workshop - Paraty 2017; 2017

INCT-IQ CAPES - Altos Estudos CNPq FAPESP

The ground state (GS) of interacting spin systems in the presence of an external magnetic field are typically entangled states. However under certain conditions they can posses a factorized completely separable exact ground state. We discuss here factorization schemes in spin S arrays with quadratic couplings in general magnetic fields, not necessarily uniform or transverse. Analytical results ensure the existence of ground state factorization under general conditions. The present results open the way for separable GS engineering if couplings and fields can be tuned.