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Spin Entanglement with \(\mathcal {PT}\) Symmetric Hamiltonian in a Curved Static Space-Time

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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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Acknowledgments

We are very grateful to the Algerian Ministry of Higher Education and Research and DGRSDT for the financial support. This work is supported by CNEPRU under research contracts numbers D00920110030 and D00920130018.

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Correspondence to N. Mebarki.

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Mebarki, N., Morchedi, A. & Aissaoui, H. Spin Entanglement with \(\mathcal {PT}\) Symmetric Hamiltonian in a Curved Static Space-Time. Int J Theor Phys 54, 4124–4130 (2015). https://doi.org/10.1007/s10773-014-2499-5

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  • DOI: https://doi.org/10.1007/s10773-014-2499-5

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