Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis

Abstract In a dissipative quantum system, we report the dynamic mode decomposition (DMD) analysis of damped oscillation signals. We used a reflection-type pump-probe method to observe time-domain signals, including the coupled modes of long-lived longitudinal optical phonons and quickly damped plasm...

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Autores principales:	Itsushi Sakata, Takuya Sakata, Kohji Mizoguchi, Satoshi Tanaka, Goro Oohata, Ichiro Akai, Yasuhiko Igarashi, Yoshihiro Nagano, Masato Okada
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2989eb4e767c48b9a772a2beb2beddeb
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spelling	oai:doaj.org-article:2989eb4e767c48b9a772a2beb2beddeb2021-12-05T12:15:55ZComplex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis10.1038/s41598-021-02413-w2045-2322https://doaj.org/article/2989eb4e767c48b9a772a2beb2beddeb2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-02413-whttps://doaj.org/toc/2045-2322Abstract In a dissipative quantum system, we report the dynamic mode decomposition (DMD) analysis of damped oscillation signals. We used a reflection-type pump-probe method to observe time-domain signals, including the coupled modes of long-lived longitudinal optical phonons and quickly damped plasmons (LOPC) at various pump powers. The Fourier transformed spectra of the observed damped oscillation signals show broad and asymmetric modes, making it difficult to evaluate their frequencies and damping rates. We then used DMD to analyze the damped oscillation signals by precisely determining their frequencies and damping rates. We successfully identified the LOPC modes. The obtained frequencies and damping rates were shown to depend on the pump power, which implies photoexcited carrier density. We compared the pump-power dependence of the frequencies and damping rates of the LOPC modes with the carrier density dependence of the complex eigen-energies of the coupled modes by using the non-Hermitian phenomenological effective Hamiltonian. Good agreement was obtained between the observed and calculated dependences, demonstrating that DMD is an effective alternative to Fourier analysis which often fails to estimate effective damping rates.Itsushi SakataTakuya SakataKohji MizoguchiSatoshi TanakaGoro OohataIchiro AkaiYasuhiko IgarashiYoshihiro NaganoMasato OkadaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Itsushi Sakata Takuya Sakata Kohji Mizoguchi Satoshi Tanaka Goro Oohata Ichiro Akai Yasuhiko Igarashi Yoshihiro Nagano Masato Okada Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
description	Abstract In a dissipative quantum system, we report the dynamic mode decomposition (DMD) analysis of damped oscillation signals. We used a reflection-type pump-probe method to observe time-domain signals, including the coupled modes of long-lived longitudinal optical phonons and quickly damped plasmons (LOPC) at various pump powers. The Fourier transformed spectra of the observed damped oscillation signals show broad and asymmetric modes, making it difficult to evaluate their frequencies and damping rates. We then used DMD to analyze the damped oscillation signals by precisely determining their frequencies and damping rates. We successfully identified the LOPC modes. The obtained frequencies and damping rates were shown to depend on the pump power, which implies photoexcited carrier density. We compared the pump-power dependence of the frequencies and damping rates of the LOPC modes with the carrier density dependence of the complex eigen-energies of the coupled modes by using the non-Hermitian phenomenological effective Hamiltonian. Good agreement was obtained between the observed and calculated dependences, demonstrating that DMD is an effective alternative to Fourier analysis which often fails to estimate effective damping rates.
format	article
author	Itsushi Sakata Takuya Sakata Kohji Mizoguchi Satoshi Tanaka Goro Oohata Ichiro Akai Yasuhiko Igarashi Yoshihiro Nagano Masato Okada
author_facet	Itsushi Sakata Takuya Sakata Kohji Mizoguchi Satoshi Tanaka Goro Oohata Ichiro Akai Yasuhiko Igarashi Yoshihiro Nagano Masato Okada
author_sort	Itsushi Sakata
title	Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
title_short	Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
title_full	Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
title_fullStr	Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
title_full_unstemmed	Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
title_sort	complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/2989eb4e767c48b9a772a2beb2beddeb
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Complex energies of the coherent longitudinal optical phonon–plasmon coupled mode according to dynamic mode decomposition analysis

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