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Quantum Decoherence of Gaussian Steering and Entanglement in Hawking Radiation and Thermal Bath

  • Shu-Min Wu
  • Hao-Sheng ZengEmail author
Article

Abstract

We study the effects of Hawking radiation and bath temperature on quantum steering and entanglement for a two-mode Gaussian state exposed in the background of a black hole and immersed in the two independent thermal baths. We find that both the effects can destroy the quantum steering and entanglement. Quantum steering always exists sudden death for any Hawking temperature and any bath temperature, but entanglement does not in zero-temperature thermal bath. Both the Hawking radiation and the asymmetry of thermal baths can induce the asymmetry of quantum steering, but the latter effect is much weaker than the former. An unintuitive result is that the observer who stays in the Hawking radiation or in the thermal bath with higher temperature has more stronger steerability than the other one. We also find that Hawking radiation and thermal noise can change the asymptotic behavior of steering and entanglement versus the squeezing parameter.

Keywords

Gaussian steering Gaussian entanglement Hawking radiation Thermal bath 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11275064), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20124306110003), and the Construct Program of the National Key Discipline.

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Authors and Affiliations

  1. 1.Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of EducationHunan Normal UniversityChangshaChina
  2. 2.Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaChina
  3. 3.Department of PhysicsHunan Normal UniversityChangshaChina

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