Edge-locking and quantum control in highly polarized spin chains

Abstract

For an open-boundary spin chain with anisotropic Heisenberg (XXZ) interactions, we present states in which a connected block near the edge is polarized oppositely to the rest of the chain. We show that such blocks can be `locked' to the edge of the spin chain, and that there is a hierarchy of edge-locking effects at various orders of the anisotropy. The phenomenon enables dramatic control of quantum state transmission: the locked block can be freed by flipping a single spin or a few spins.