Non-invertible symmetry breaking in a frustration-free spin chain

Akash Sinha, Vivek Kumar Singh, Pramod Padmanabhan +2

A nearest-neighbor, frustration-free spin $\frac{1}{2}$ chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this syst…