Abstract

We study the phenomenon of entanglement extraction from the vacuum of a massless scalar field in (1 + 1) dimensional spacetime in presence of a moving Dirichlet boundary condition, i.e. mirror spacetime, using two inertial Unruh-DeWitt detectors. We consider a variety of non-trivial trajectories for these accelerating mirrors and find (1) an entanglement inhibition phenomenon similar to that recently seen for black holes, as well as (2) trajectory-independent entanglement enhancement in some regimes. We show that the qualitative result obtained is the same for both linear and derivative couplings of the detector with the field.

Highlights

  • JHEP06(2019)021 attractive toy model to gain insights into the physics of quantum fields in curved spacetimes

  • We study the phenomenon of entanglement extraction from the vacuum of a massless scalar field in (1 + 1) dimensional spacetime in presence of a moving Dirichlet boundary condition, i.e. mirror spacetime, using two inertial Unruh-DeWitt detectors

  • More recently it has been shown that for some generic trajectories certain limits can be taken to obtain thermal responses [19] or even model black hole collapse from a null shell [20,21,22]. We note in this context that a study of entanglement harvesting in black hole spacetimes was recently initiated for the first time for (2 + 1)-dimensional black holes [23], and so it is of further interest to investigate entanglement harvesting in spacetimes with non-trivial boundary conditions that could simulate the collapse of matter into a black hole

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Summary

Results and discussions

The variable parameters will be denoted as follows: (tj, xj) for the time and position coordinates of the peak of the Gaussian switching of detector j, Ω for the energy gap of the detectors, dA for the distance of detector A from the mirror at t = tA and ∆x = xB − xA for the detector separation. The results will be presented in terms of the corresponding dimensionless variables, {tA/σ, dA/σ, Ωjσ, ∆x/σ}. We first describe general results for all mirror trajectories, followed by an analysis of the effects due to specific mirror motions

Entanglement enhancement by a mirror
Entanglement death near moving mirrors
Effect of different trajectories
Detector response and concurrence in the presence of a boundary
Conclusion
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