Abstract
Entanglement of spin systems in a curved static space-time with \(\mathcal {PT}\) symmetric Hamiltonian is studied. It turns out that although a bipartite initial state is non entangled, one can generate in general a non vanishing ebit of entanglement through an elapsed proper time evolution. To be more specific an application of a pure state time evolution of a wave packet in a circular geodesic motion in a Schwarchild metric and \(\mathcal {PT}\) symmetric spin Hamiltonian is considered and the corresponding von Newman entanglement entropy is studied.
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