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We investigate the dynamics of Einstein-Podolsky-Rosen steering in asoliplasmonic system where the asymmetrical coupling between linear solitonsand nonlinear plasmons is controlled by the weak soliton amplitude. We employnon-Hermitian quantum dynamics to evaluate quantum steering witnesses fordifferent coupling strengths. Quantum steering is examined for an initiallyFock state and we briefly discuss Einstein-Podolsky-Rosen entanglement forinitially coherent states. We numerically investigate the adjustability of thewitnessing periods of quantum steering via tunable coupling strength ofsoliton-plasmon interaction and discuss the possibility of the nonlinearsoliplasmonic systems as a robust platform for implementing one-sided quantumkey distributions.

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