Disentanglement of two harmonic oscillators in relativistic motion

Details Disentanglement of two harmonic oscillators in relativistic motion Disentanglement of two harmonic oscillators in relativistic motion

2008-03-27

arxiv.org/abs/0803.3995v2

Phys.Rev.D78:125025,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 8 figures; typos added, minor changes in Secs. I and V

Scientific paper

10.1103/PhysRevD.78.125025

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 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.

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