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  • Open Access

Quantum superposition of boundary conditions in PAdS2

João P. M. Pitelli1,*, Bruno S. Felipe2,†, Claudio Dappiaggi3,‡, and Elizabeth Winstanley4,§

  • *Contact author: pitelli@unicamp.br
  • †Contact author: brunfeli@ifi.unicamp.br
  • ‡Contact author: claudio.dappiaggi@unipv.it
  • §Contact author: e.winstanley@sheffield.ac.uk

Phys. Rev. D 111, 125011 – Published 16 June, 2025

DOI: https://doi.org/10.1103/3nfv-lhs1

Abstract

We explore the quantum superposition of boundary conditions in the context of the Poincaré patch of the two-dimensional anti–de Sitter space. Focusing on Robin (mixed) boundary conditions, 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 twofold: (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.

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