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Exploration of entropic uncertainty relation for two accelerating atoms immersed in a bath of electromagnetic field

  • Zhiming HuangEmail author
  • Haozhen Situ
Article
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Abstract

The uncertainty principle as an elementary theory of quantum mechanics plays an important role in quantum information science. In this paper, we study the dynamics of quantum-memory-assisted entropic uncertainty relation for two accelerating atoms coupled with a bath of fluctuating electromagnetic field. The master equation that the system evolution obeys is firstly derived. We find that the mixedness is bound up with the entropic uncertainty. For equilibrium state, the tightness of uncertainty vanishes. For the initial maximum entangled state, the tightness of uncertainty experiences a slight increase and then declines to zero with evolution time. It is found that the greater acceleration makes the uncertainty faster reach a maximum value and stable value. For a fixed acceleration, the uncertainty with different two-atom separations converges to a fixed value. Furthermore, we utilize weak measurement reversal to manipulate the entropic uncertainty. Our explorations may suggest a method of probing entanglement, acceleration effect and vacuum fluctuation effect with entropic uncertainty.

Keywords

Entropic uncertainty Mixedness Dynamics Fluctuating electromagnetic field Weak measurement reversal 

Notes

Acknowledgements

The work is supported by the National Natural Science Foundation of China (61871205), the Innovation Project of Department of Education of Guangdong Province (2017KTSCX180), the Jiangmen Science and Technology Plan Project for Basic and Theoretical Research (2018JC01010), the Young Science and Technology Talent Growth Fund Project of Education Department of Guizhou Province of China (Qian Jiao He KY Zi[2018]426), the Major Special Fund Project of Research and Innovation for Qiannan Normal university for Nationalities of China (QNSY2018BS015), the Industrial Technology Foundation of Qiannan State of China (Qiannan Ke He Gong Zi (2017) 9 Hao) and the Scientific Research Foundation for High-level Talents of Qiannan Normal University for Nationalities (qnsyrc201716).

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Authors and Affiliations

  1. 1.School of Economics and ManagementWuyi UniversityJiangmenChina
  2. 2.College of Mathematics and InformaticsSouth China Agricultural UniversityGuangzhouChina

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