Birth and death of entanglement between two accelerating Unruh-DeWitt detectors coupled with a scalar field

Author:

Wu Dawei,Tang Shan-Chang,Shi Yu

Abstract

Abstract We study two accelerating Unruh-DeWitt detectors coupled linearly or quadratically with a scalar field, by using an approach different from previous ones. We use Rindler frame, and integrate over the spacetime coordinates before over the momenta. In this way, the divergent problem previously encountered is avoided. We show that entanglement between the detectors can be created by coupling with the field, and is divergent only in the limit that the two detectors coincide in spacetime. For linear coupling, entanglement increases monotonically with the decrease of acceleration, as previously found, while for quadratic coupling, entanglement behaves non-monotonically, as noted for the first time.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference23 articles.

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4. B. DeWitt, General relativity: an Einstein centenary survey, S.W. Hawking and W. Israel eds., Cambridge University Press, Cambridge, U.K. (1979).

5. W.G. Unruh and R.M. Wald, What happens when an accelerating observer detects a Rindler particle, Phys. Rev. D 29 (1984) 1047 [INSPIRE].

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