Quantum fluctuation of entanglement for accelerated two-level detectors

doi:10.1088/1674-1056/ab7d9a

Abstract It is well known that the quantum fluctuation of entanglement (QFE) between Unruh-De Witt detector (modeled by a two-level atom) is always investigated in a relativistic setting. However, both of the Unruh radiation and quantum fluctuation effects play an important role in precise measurements of quantum entanglement. In this paper, we have quantitatively analyzed how the relativistic motion affects the QFE for two entangled Unruh-De Witt detectors, one of which is accelerated and interacting with the neighbor external scalar field. Our results show that the QFE, which initially increases by the Unruh thermal noise, will suddenly decay when the acceleration reaches to a considerably large value. Therefore, the relativistic effect will lead to non-negligible QFE effect. We also find that the initial QFE (without acceleration effect) reaches its minimum value at the maximally entangled state and the separable state. More importantly, our analysis demonstrates that although the QFE has a huge decay when the acceleration is greater than ～0.96, the ratio of ΔE/C is still very large, due to the simultaneous decay of concurrence to a very low value. Finally, enlightened by the well-known equivalence principle, we discuss the possibility of applying the above findings to the dynamics of QFE under the influence of gravitation field.

Keywords: relativistic quantum information quantum fluctuation Unruh effect

Received: 03 January 2020
Revised: 25 February 2020
Accepted manuscript online:

PACS:	04.62.+v	(Quantum fields in curved spacetime)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0402600), the National Natural Science Foundation of China (Grant Nos. 11690023, 11373014, and 11633001), the Beijing Talents Fund of Organization Department of Beijing Municipal Committee of the CPC, and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB23000000).

Corresponding Authors: Tong-Hua Liu, Shuo Cao
E-mail: liutongh@mail.bnu.edu.cn;caoshuo@bnu.edu.cn

Cite this article:

Si-Xuan Zhang(张思轩), Tong-Hua Liu(刘统华), Shuo Cao(曹硕), Yu-Ting Liu(刘宇婷), Shuai-Bo Geng(耿率博), Yu-Jie Lian(连禹杰) Quantum fluctuation of entanglement for accelerated two-level detectors 2020 Chin. Phys. B 29 050402

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Quantum fluctuation of entanglement for accelerated two-level detectors

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