  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.
