Analytic estimation of transition between instantaneous eigenstates of quantum two-level system

Transition amplitudes between instantaneous eigenstates of a quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, the condition under which the transitions ar...

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Autores principales: Suzuki, Takayuki, Nakazato, Hiromichi, Grimaudo, Roberto, Messina, Antonino
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6258695/
https://www.ncbi.nlm.nih.gov/pubmed/30479401
http://dx.doi.org/10.1038/s41598-018-35741-5
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author Suzuki, Takayuki
Nakazato, Hiromichi
Grimaudo, Roberto
Messina, Antonino
author_facet Suzuki, Takayuki
Nakazato, Hiromichi
Grimaudo, Roberto
Messina, Antonino
author_sort Suzuki, Takayuki
collection PubMed
description Transition amplitudes between instantaneous eigenstates of a quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, the condition under which the transitions are suppressed is examined analytically. It is shown that the analytic expression of the transition amplitude enables us, not only to confirm the adiabatic theorem, but also to derive the necessary and sufficient condition for quantum two-level system to remain in one of the instantaneous eigenstates.
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spelling pubmed-62586952018-12-03 Analytic estimation of transition between instantaneous eigenstates of quantum two-level system Suzuki, Takayuki Nakazato, Hiromichi Grimaudo, Roberto Messina, Antonino Sci Rep Article Transition amplitudes between instantaneous eigenstates of a quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, the condition under which the transitions are suppressed is examined analytically. It is shown that the analytic expression of the transition amplitude enables us, not only to confirm the adiabatic theorem, but also to derive the necessary and sufficient condition for quantum two-level system to remain in one of the instantaneous eigenstates. Nature Publishing Group UK 2018-11-27 /pmc/articles/PMC6258695/ /pubmed/30479401 http://dx.doi.org/10.1038/s41598-018-35741-5 Text en © The Author(s) 2018 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
Suzuki, Takayuki
Nakazato, Hiromichi
Grimaudo, Roberto
Messina, Antonino
Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title_full Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title_fullStr Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title_full_unstemmed Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title_short Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
title_sort analytic estimation of transition between instantaneous eigenstates of quantum two-level system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6258695/
https://www.ncbi.nlm.nih.gov/pubmed/30479401
http://dx.doi.org/10.1038/s41598-018-35741-5
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