A continued fraction based approach for the Two-photon Quantum Rabi Model

Antonino Messina, Anna Napoli, Anna Napoli, Enrique Solano, Elena Lupo, Íñigo L. Egusquiza, Antonino Messina, Elena Lupo

Risultato della ricerca: Article

Abstract

We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allowsnumerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independentchecks and calibration of the numerical results by studying an exactly solvable case and comparing the essential qualitativestructure of the spectral functions. We stress that the large time limit of the survival probability provides us with an indicator ofspectral collapse, and propose a technique for the detection of this signal in the current and upcoming quantum simulationsof the model.
Lingua originaleEnglish
pagine (da-a)1-12
Numero di pagine12
RivistaDefault journal
Volume9
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

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Cita questo

Messina, A., Napoli, A., Napoli, A., Solano, E., Lupo, E., Egusquiza, Í. L., ... Lupo, E. (2019). A continued fraction based approach for the Two-photon Quantum Rabi Model. Default journal, 9, 1-12.

A continued fraction based approach for the Two-photon Quantum Rabi Model. / Messina, Antonino; Napoli, Anna; Napoli, Anna; Solano, Enrique; Lupo, Elena; Egusquiza, Íñigo L.; Messina, Antonino; Lupo, Elena.

In: Default journal, Vol. 9, 2019, pag. 1-12.

Risultato della ricerca: Article

Messina, A, Napoli, A, Napoli, A, Solano, E, Lupo, E, Egusquiza, ÍL, Messina, A & Lupo, E 2019, 'A continued fraction based approach for the Two-photon Quantum Rabi Model', Default journal, vol. 9, pagg. 1-12.
Messina, Antonino ; Napoli, Anna ; Napoli, Anna ; Solano, Enrique ; Lupo, Elena ; Egusquiza, Íñigo L. ; Messina, Antonino ; Lupo, Elena. / A continued fraction based approach for the Two-photon Quantum Rabi Model. In: Default journal. 2019 ; Vol. 9. pagg. 1-12.
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AU - Egusquiza, Íñigo L.

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AU - Lupo, Elena

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AB - We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allowsnumerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independentchecks and calibration of the numerical results by studying an exactly solvable case and comparing the essential qualitativestructure of the spectral functions. We stress that the large time limit of the survival probability provides us with an indicator ofspectral collapse, and propose a technique for the detection of this signal in the current and upcoming quantum simulationsof the model.

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