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Duality in the dynamics of Unruh-DeWitt detectors in conformally related spacetimes

We prove a nonperturbative duality concerning the dynamics of harmonic-oscillator-type Unruh-DeWitt detectors in curved spacetimes. Concretely, using the Takagi transformation we show that the action of a harmonic oscillator Unruh-DeWitt detector with one frequency in a spacetime is equal to that of a detector with a different frequency in a conformally related spacetime. As an example, we show that the dynamics of simple stationary detectors in flat spacetime is dual to that of detectors in a cosmological scenario. The nonperturbative duality enables us to investigate entanglement harvesting in new scenarios in curved spacetime by using results obtained in simpler, conformally related spacetimes.

preprint2020arXivOpen access
Masahiro HottaAchim KempfEduardo Martín-MartínezTakeshi TomitsukaKoji Yamaguchi
gr-qchep-thquant-ph
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Masahiro HottaAchim KempfEduardo Martín-MartínezTakeshi TomitsukaKoji Yamaguchi

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