Einstein-Podolsky-Rosen steering in non-Hermitian, nonlinear soliton surface plasmons

Abstract

We investigate the dynamics of Einstein-Podolsky-Rosen steering in a soliplasmonic system where the asymmetrical coupling between linear solitons and nonlinear plasmons is controlled by the weak soliton amplitude. We employ non-Hermitian quantum dynamics to evaluate quantum steering witnesses for different coupling strengths. Quantum steering is examined for an initially Fock state and we briefly discuss Einstein-Podolsky-Rosen entanglement for initially coherent states. We numerically investigate the adjustability of the witnessing periods of quantum steering via tunable coupling strength of soliton-plasmon interaction and discuss the possibility of the nonlinear soliplasmonic systems as a robust platform for implementing one-sided quantum key distributions.