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

Masahiro Hotta, Achim Kempf, Eduardo Martín-Martínez, Takeshi Tomitsuka, Koji Yamaguchi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Article number085017
JournalPhysical Review D
Volume101
Issue number8
DOIs
Publication statusPublished - 2020 Apr 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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