Quantum Steering in Two- and Three-Mode PT-Symmetric Systems

We consider two PT-symmetric models, consisting of two or three single-mode cavities. In both models, the cavities are coupled to each other by linear interactions, forming a linear chain. Additionally, the first and last of such cavities interact with an environment. Since the models are PT-symmetric, they are described by non-Hermitian Hamiltonians that, for a specific range of system parameters, possess real eigenvalues. We show that in the models considered in the article, the steering generation process strongly depends on the coupling strengths and rates of the gains/losses in energy. Moreover, we find the values of parameters describing the system for which the steering appears.

Automated summary

Two PT-symmetric models with linear interactions between cavities and coupling to the environment are studied. Analysis shows that the steering generation process strongly depends on coupling strengths and energy gains/losses rates, revealing parameter values leading to the appearance of steering in the system.