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In this work we revisit the famous Fermi two-atom problem, which concerns howrelativistic causality impacts atomic transition probabilities, using the toolsfrom relativistic quantum information (RQI) and algebraic quantum field theory(AQFT). The problem has sparked different analyses from many directions andangles since the proposed solution by Buchholz and Yngvason (1994). Some ofthese analyses employ various approximations, heuristics, perturbative methods,which tends to render some of the otherwise useful insights somewhat obscured.It is also noted that they are all studied in flat spacetime. We show thatcurrent tools in relativistic quantum information, combined with algebraicapproach to quantum field theory, are now powerful enough to provide fuller andcleaner analysis of the Fermi two-atom problem for arbitrary curved spacetimesin a completely non-perturbative manner. Our result gives the original solutionof Buchholz and Yngvason a very operational reinterpretation in terms of qubitsinteracting with a quantum field, and allows for various naturalgeneralizations and inclusion of detector-based local measurement for thequantum field (Phys. Rev. D 105, 065003).

Fermi two-atom problem: non-perturbative approach via relativistic quantum information and algebraic quantum field theory