Speaker
Description
Recently, the topic of non-invertible symmetry has attracted a lot of interest. The symmetry elements in such a case cannot be implemented by transformations that form groups. In this work, we study a local, frustration-free spin chain, where the ground state is found to be doubly degenerate, resembling the ferromagnetic states in the XXX spin chain. The ground states are connected by a non-invertible symmetry, which is broken spontaneously. We study the symmetry breaking via algebraic quantum theory methods. The local terms in the Hamiltonian are constructed using projectors, making them non-invertible on their own. We further demonstrate the system is gapped using the Bravyi-Gosset condition. At the end, we show the integrability of the model and discuss the conserved charges.
| Field of contribution | Theory |
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