Abstract
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.
Highlights
One of the commonly assumed axioms of quantum mechanics concerns the Hermiticity of operators characterizing physical observables
Numerous studies showed that the spectrum of the Hamiltonians describing P T symmetric systems can be real, and such a system is in the so-called unbroken phase of P T -symmetry
We discussed the possibility of quantum steering generation in two kinds of P T -symmetric systems
Summary
One of the commonly assumed axioms of quantum mechanics concerns the Hermiticity of operators characterizing physical observables. Numerous studies showed that the spectrum of the Hamiltonians describing P T symmetric systems can be real, and such a system is in the so-called unbroken phase of P T -symmetry. The transition points from the unbroken to the broken P T symmetry phase are called the exceptional points The properties of such points have been studied intensively, both theoretically [2,3,4] and in a variety of experiments [5,6]. The systems that exhibit the ability to generation steerable states are useful in various applications of quantum information theory. It is the result of the fact that quantum steering is a nonlocality effect that is less sensitive than the Bell nonlocality to such phenomena as noise and decoherence.
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