TY - JOUR
T1 - Duality in the dynamics of Unruh-DeWitt detectors in conformally related spacetimes
AU - Hotta, Masahiro
AU - Kempf, Achim
AU - Martín-Martínez, Eduardo
AU - Tomitsuka, Takeshi
AU - Yamaguchi, Koji
N1 - Funding Information:
The authors would like to thank N. C. Menicucci for valuable discussion. This research had started at the 12th Relativistic Quantum Information Workshop in Brisbane. We would like to thank the hospitality of the organizers. This research was partially supported by Japan Society for the Promotion of Science (JSPS) KAKENHI Grants No. 18J20057 (K. Y.) and No. JP19K03838 (M. H.) and by Graduate Program on Physics for the Universe of Tohoku University (K. Y. and T. T.). E. M.-M. and A. K. are partially supported by the Natural Sciences and Engineering Research Council (NSERC) Discovery Program. E. M.-M. also acknowledges funding of his Ontario Early Researcher Award. A. K. is also partially supported by a Google Faculty Research Award.
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/4/15
Y1 - 2020/4/15
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.101.085017
DO - 10.1103/PhysRevD.101.085017
M3 - Article
AN - SCOPUS:85084673405
VL - 101
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 8
M1 - 085017
ER -