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

We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allows numerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independent checks and calibration of the numerical results by stu...

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Detalles Bibliográficos
Autores principales: Lupo, Elena, Napoli, Anna, Messina, Antonino, Solano, Enrique, Egusquiza, Íñigo L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6411859/
https://www.ncbi.nlm.nih.gov/pubmed/30858449
http://dx.doi.org/10.1038/s41598-019-39281-4
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author Lupo, Elena
Napoli, Anna
Messina, Antonino
Solano, Enrique
Egusquiza, Íñigo L.
author_facet Lupo, Elena
Napoli, Anna
Messina, Antonino
Solano, Enrique
Egusquiza, Íñigo L.
author_sort Lupo, Elena
collection PubMed
description We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allows numerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independent checks and calibration of the numerical results by studying an exactly solvable case and comparing the essential qualitative structure of the spectral functions. We stress that the large time limit of the survival probability provides us with an indicator of spectral collapse, and propose a technique for the detection of this signal in the current and upcoming quantum simulations of the model.
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spelling pubmed-64118592019-03-13 A continued fraction based approach for the Two-photon Quantum Rabi Model Lupo, Elena Napoli, Anna Messina, Antonino Solano, Enrique Egusquiza, Íñigo L. Sci Rep Article We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allows numerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independent checks and calibration of the numerical results by studying an exactly solvable case and comparing the essential qualitative structure of the spectral functions. We stress that the large time limit of the survival probability provides us with an indicator of spectral collapse, and propose a technique for the detection of this signal in the current and upcoming quantum simulations of the model. Nature Publishing Group UK 2019-03-11 /pmc/articles/PMC6411859/ /pubmed/30858449 http://dx.doi.org/10.1038/s41598-019-39281-4 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Lupo, Elena
Napoli, Anna
Messina, Antonino
Solano, Enrique
Egusquiza, Íñigo L.
A continued fraction based approach for the Two-photon Quantum Rabi Model
title A continued fraction based approach for the Two-photon Quantum Rabi Model
title_full A continued fraction based approach for the Two-photon Quantum Rabi Model
title_fullStr A continued fraction based approach for the Two-photon Quantum Rabi Model
title_full_unstemmed A continued fraction based approach for the Two-photon Quantum Rabi Model
title_short A continued fraction based approach for the Two-photon Quantum Rabi Model
title_sort continued fraction based approach for the two-photon quantum rabi model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6411859/
https://www.ncbi.nlm.nih.gov/pubmed/30858449
http://dx.doi.org/10.1038/s41598-019-39281-4
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