Entanglement of two two-level atoms mediated by a cylindrical optical black hole

Abstract

We consider the dynamics of a system consisting of two two-level atoms interacting with the electromagnetic field near an optical black hole. We obtain the reduced density operator of the two-atom system in the weak coupling regime for the case that one atom is in the excited state and the other in the ground state. The time evolution of the negativity between the atoms is discussed for two non-resonance and resonance cases. In both cases, we show that the two atoms can become entangled due to the indirect interaction mediated through the optical black hole.

Free particle and isotropic harmonic oscillator on a spheroidal surface: The Higgs-like approach

“…This comes from the analogy between the Helmholtz's and the time-independent Schrödinger equation. One can also treat these systems as analog models of general relativity [8,9]. Moreover, these studies are also of theoretical interest, because it is not clear how to generalize the well defined quantum processes such as the quantization from the flat space to the curved spaces, even though the curvature is constant but different from zero.…”