Dephasing induced long-ranged entangled pairs

Abstract: This work proposes a dephasing mechanism for generating symmetrically located long-range entangled pairs in a lattice. We consider a one-dimensional fermionic lattice with nearest-neighbor hopping subjected to a local dephasing at the central site. The dephasing-induced dynamics is strongly relaxing under strong symmetries and give rise to unique steady states in different symmetry sectors. Through explicit analytical calculations, we identify the symmetry sectors that support these strongly correlated robust pairs over arbitrarily long distances and provide analytical expressions of the steady-state correlation matrices. This experimentally relevant work promises applications in emerging quantum technologies.