Metastable ferromagnetic clusters in dissipative many-body systems of polar molecules

We investigate the effect of two-body loss due to chemical reactions on quantum magnetism fermionic polar molecules in an optical lattice. show that interplay between dissipation and strong long-range interactions leads formation metastable ferromagnetic clusters. The spin states clusters are controlled by interaction parameters reflect symmetry interactions. size strongly depends initial configuration Hilbert-space fragmentation during dissipative many-body dynamics. construct effective model emergence as quasi-dark states. Application simulation spin-$S$ Heisenberg is discussed.