Probing massless and massive gravitons via entanglement in a warped extra dimension

Understand

Gravity's quantum nature can be probed in a laboratory by witnessing the entanglement between the two quantum systems, which cannot be possible if gravity is a classical entity.

• In this paper, we will provide a simple example where we can probe the effects of higher dimensions, in particular, the warped extra dimension of five-dimensional Anti-de Sitter spacetime ($\rm AdS_5$).
• We assume that the two quantum harmonic oscillators are kept at a distance $d$ on a 3-brane (our 4D world) embedded in $\rm AdS_5$, while gravity can propagate in all five dimensions.
• We will compute the effective potential due to the massless and massive gravitons propagating in the warped geometry.