Quantum superposition of boundary condition in $\mathrm{PAdS}_2$
High Energy Physics - Theory
2025-06-23 v1 General Relativity and Quantum Cosmology
Abstract
We explore the quantum superposition of boundary conditions in the context of the Poincar\'e patch of the two-dimensional Anti-de Sitter space (). 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.
Cite
@article{arxiv.2503.03934,
title = {Quantum superposition of boundary condition in $\mathrm{PAdS}_2$},
author = {João P. M. Pitelli and Bruno S. Felipe and Claudio Dappiaggi and Elizabeth Winstanley},
journal= {arXiv preprint arXiv:2503.03934},
year = {2025}
}