Quantum superposition of boundary condition in ${\mathrm{P}\mathrm{A}\mathrm{d}\mathrm{S}}_2$

We explore the quantum superposition of boundary conditions in the context of the Poincaré patch of the two-dimensional Anti-de Sitter space (${\mathrm{P}\mathrm{A}\mathrm{d}\mathrm{S}}_2$). Focusing on Robin (mixed) boundary conditions (RBC), we investigate the response function of the Unruh-DeWitt (UDW) detector interacting with two or more scalar fields, each respecting a different boundary condition. The role of this quantum superposition is two-fold: i) it may represent different fields propagating on the same spacetime and interacting with an UDW detector or ii) it may describe an UDW detector on a superposition of spacetimes, each one with an inequivalent propagating field.