Entanglement duality in spin-spin interactions

We examine entanglement of thermal states for spin-1/2 dimers in external magnetic fields. Entanglement transition in the temperature-magnetic-field plane demonstrates a duality in spin-spin interactions. This identifies a pair of dual categories of symmetric and antisymmetric dimers with each category classified into toric entanglement classes. The entanglement transition line is preserved from each toric entanglement class to its dual toric class. The toric classification is an indication of the topological signature of the entanglement, which bring about topological stability that could be relevant for quantum information processing.

Automated summary

We investigate the entanglement properties of thermal states in spin-1/2 dimers under an external magnetic field. The entanglement transition in the temperature-magnetic-field plane reveals a duality in spin-spin interactions, with a pair of symmetric and antisymmetric dimers identified as dual categories. Each category is further classified into toric entanglement classes. The entanglement transition line is preserved from each toric entanglement class to its dual toric class. The toric classification indicates the topological signature of entanglement, suggesting potential topological stability for quantum information processing.