Entanglement replication via quantum repeated interactions

Pierre Wendenbaum (1) , Thierry Platini (2) , Dragi Karevski (1)

1 IJL - Institut Jean Lamour
2 Coventry University

We study entanglement creation between two independent XX chains, which are repeatedly coupled locally to spin-1/2 Bell pairs. We show analytically that in the steady state the entanglement of the Bell pairs is perfectly transferred to the chains, generating large-scale interchain pair correlations. However, before the steady state is reached, within a growing causal region around the interacting locus the chains are found in a current driven nonequilibrium steady state (NESS). In the NESS, the chains cross entanglement decays exponentially with respect to the distance to the boundary sites with a typical length scale which is inversely proportional to the driving current.

Domaines: Chimie inorganique

Pierre Wendenbaum, Thierry Platini, Dragi Karevski. Entanglement replication via quantum repeated interactions. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 91 (4), ⟨10.1103/PhysRevA.91.040303⟩. ⟨hal-01281607⟩