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Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics

Entanglement and disentanglement in relativistic quantum mechanics

Jeffrey Alan Barrett

Published Sep 16, 2014• 48 citations
Publisher
DOI
10.1016/j.shpsb.2014.08.004

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We study the dynamics of quantum entanglement between two Unruh-DeWitt detectors, one stationary (Alice), and another uniformly accelerating (Rob), with no direct interaction but coupled to a common quantum field in (3+1)D(3+1)\mathrm{D}(3+1)D Minkowski space. We find that for all cases studied the initial entanglement between the detectors disappears in a finite time (``sudden death''). After the moment of total disentanglement the correlations between the two detectors remain nonzero until late times. The relation between the disentanglement time and Rob's proper acceleration is observer dependent. The larger the acceleration is, the longer the disentanglement time in Alice's coordinate, but the shorter in Rob's coordinate.