Abstract
We study the effects of horizons on the entanglement harvested between two Unruh-DeWitt detectors via the use of moving mirrors with and without strict horizons. The entanglement reveals the sensitivity of the entanglement harvested to the global dynamics of the trajectories disclosing aspects of the effect that global information loss (where incoming massless scalar field modes from past null infinity cannot reach right future null infinity) has on local particle detectors. We also show that entanglement harvesting is insensitive to the sign of emitted radiation flux.
Highlights
Studying quantum entanglement in dynamical settings, for example during gravitational collapse, is considerably more difficult
More recently a study of entanglement harvesting from the vacuum of a massless scalar field in (1 + 1) dimensions [22] in moving mirror spacetimes indicated that entanglement shadows similar to those found for black holes [15] were present, and that the harvesting process was sensitive to the mirror trajectory, providing strong evidence that local detector measurements can distinguish between a collapsing black hole spacetime and an eternal black hole spacetime
Since horizonless mirrors must emit negative energy flux (as we prove via eq (2.5) in section 2.2), and the horizon-possessing Schwarzshild mirror [21] does not emit negative radiation; distinguishing between horizon and horizonless trajectories via harvesting can tell us about whether or not the associated entanglement measure can act as a probe into the nature of negative energy flux (NEF) [33]
Summary
The Unruh-DeWitt (UDW) detector model describes the interaction of a two level quantum system (the detector) with the quantum field. If we initiate the detectors in their ground states and the field in the vacuum state at the end of the interaction via (1.1), there is a non-zero probability of finding the detectors in their excited states. Since entanglement of formation is a monotonically increasing function of concurrence, it is sufficient to compute the concurrence C of the end state of the detectors to quantify the amount of entanglement between them. This can be computed using standard perturbation theory, perturbing in λ, and the result is [12]. The numerical scheme used as well as comments on the numerical precision can be found in appendix C
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
