Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths

Abstract

It is well-known that the (1 + 1) dimensional Schwarzschild and spatially flat FLRW spacetimes are conformally flat. This work examines entanglement harvesting from the conformal field vacuums in these spacetimes between two Unruh-DeWitt detectors, moving along outgoing null trajectories. In (1 + 1) dimensional Schwarzschild spacetime, we considered the Boulware and Unruh vacuums for our investigations. We also considered the momentum-space representation of Green's functions and linear couplings between the field and the detectors to estimate the concurrence and the mutual information corresponding to specific field mode frequency. In this analysis, one observes that while entanglement harvesting is possible in (1 + 1) dimensional Schwarzschild and (1 + 3) dimensional de Sitter spacetimes, it is not possible in the (1 + 1) dimensional de Sitter background for the same set of parameters when the detectors move along the same outgoing null trajectory. The qualitative results from the Boulware and the Unruh vacuums are alike. Furthermore, we observed that the concurrence depends on the distance d between the two null paths of the detectors in a periodic manner. In (1 + 1) dimensional Schwarzschild and (1 + 3) dimensional de Sitter backgrounds one obtains specific periodic points in d for which concurrence vanishes. While in (1 + 1) dimensional de Sitter spacetime, one gets specific periodic regions in d with vanishing concurrence. We also observe that the mutual information does not depend on d in (1 + 1) dimensional Schwarzschild and de Sitter spacetimes but periodically depends on it in (1 + 3) dimensional de Sitter background.

Radiative processes of single and entangled detectors on circular trajectories in $(2+1)$ dimensional Minkowski spacetime

“…Also, we have to examine whether two initially uncorrelated two-level atomic detectors moving on circular trajectories can get entangled over time, a phenomenon that has been referred to as entanglement harvesting (in this regard, see Refs. [54][55][56][57][58][59][60][61]). In particular, we need to investigate entanglement harvesting in the presence of a thermal bath, with detectors switched on for infinite as well as finite intervals of time (for previous studies in this context involving static and non-inertial detectors in a thermal bath, see Refs.…”

Entanglement harvesting between two inertial Unruh-DeWitt detectors from non-vacuum quantum fluctuations

“…Hence for simplicity and fulfilment of possibility for analytic calculation, here we adopted such choice to build our model. Following this spirit the same has been considered earlier as well[43,45,49,50,59].…”

Optimization of entanglement harvesting depends on the extremality and nonextremality of a black hole

“…One should note that this integral I jω k now signifies individual detector transition probability corresponding to a certain field mode frequency ω k , see [27,[81][82][83]. It is often convenient to define the necessary quantities corresponding to fixed ω k , as done in [83], and here also we shall follow the same procedure.…”

“…The idea of studying the anticommutator and commutator in the I ε term of concurrence to identify the true and communication-based harvesting was first introduced in [85]. Later this idea was also extensively used in [41,43,83,86].…”