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Violating Bell's inequalities in the vacuum

Benni Reznik·Alex Retzker·Jonathan Silman
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Abstract

We employ an approach wherein vacuum entanglement is directly probed in a controlled manner. The approach consists of having a pair of initially nonentangled detectors locally interact with the field for a finite duration, such that the two detectors remain causally disconnected, and then analyzing the resulting detector mixed state. It is demonstrated that the correlations between arbitrarily far-apart regions of the vacuum of a relativistic free scalar field cannot be reproduced by a local hidden-variable model, and that as a function of the distance L between the regions, the entanglement decreases at a slower rate than exp(-(L/cT)^3).

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Benni Reznik, Alex Retzker, Jonathan Silman. 2004-12-14. Violating Bell's inequalities in the vacuum. https://doi.org/10.1103/physreva.71.042104

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