Measurement of linear response functions in Nuclear Magnetic Resonance

Abstract We measure multi-time correlation functions of a set of Pauli operators on a two-level system, which can be used to retrieve its associated linear response functions. The two-level system is an effective spin constructed from the nuclear spins of 1H atoms in a solution of 13C-labeled chloro...

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Autores principales:	Tao Xin, Julen S. Pedernales, Lucas Lamata, Enrique Solano, Gui-Lu Long
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ed2e737a40cf40d48094adba08556e1a
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spelling	oai:doaj.org-article:ed2e737a40cf40d48094adba08556e1a2021-12-02T15:05:21ZMeasurement of linear response functions in Nuclear Magnetic Resonance10.1038/s41598-017-13037-42045-2322https://doaj.org/article/ed2e737a40cf40d48094adba08556e1a2017-10-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-13037-4https://doaj.org/toc/2045-2322Abstract We measure multi-time correlation functions of a set of Pauli operators on a two-level system, which can be used to retrieve its associated linear response functions. The two-level system is an effective spin constructed from the nuclear spins of 1H atoms in a solution of 13C-labeled chloroform. Response functions characterize the linear response of the system to a family of perturbations, allowing us to compute physical quantities such as the magnetic susceptibility of the effective spin. We use techniques exported from quantum information to measure time correlations on the two-level system. This approach requires the use of an ancillary qubit encoded in the nuclear spins of the 13C atoms and a sequence of controlled operations. Moreover, we demonstrate the ability of such a quantum platform to compute time-correlation functions of arbitrary order, which relate to higher-order corrections of perturbative methods. Particularly, we show three-time correlation functions for arbitrary times, and we also measure time correlation functions at fixed times up to tenth order.Tao XinJulen S. PedernalesLucas LamataEnrique SolanoGui-Lu LongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tao Xin Julen S. Pedernales Lucas Lamata Enrique Solano Gui-Lu Long Measurement of linear response functions in Nuclear Magnetic Resonance
description	Abstract We measure multi-time correlation functions of a set of Pauli operators on a two-level system, which can be used to retrieve its associated linear response functions. The two-level system is an effective spin constructed from the nuclear spins of 1H atoms in a solution of 13C-labeled chloroform. Response functions characterize the linear response of the system to a family of perturbations, allowing us to compute physical quantities such as the magnetic susceptibility of the effective spin. We use techniques exported from quantum information to measure time correlations on the two-level system. This approach requires the use of an ancillary qubit encoded in the nuclear spins of the 13C atoms and a sequence of controlled operations. Moreover, we demonstrate the ability of such a quantum platform to compute time-correlation functions of arbitrary order, which relate to higher-order corrections of perturbative methods. Particularly, we show three-time correlation functions for arbitrary times, and we also measure time correlation functions at fixed times up to tenth order.
format	article
author	Tao Xin Julen S. Pedernales Lucas Lamata Enrique Solano Gui-Lu Long
author_facet	Tao Xin Julen S. Pedernales Lucas Lamata Enrique Solano Gui-Lu Long
author_sort	Tao Xin
title	Measurement of linear response functions in Nuclear Magnetic Resonance
title_short	Measurement of linear response functions in Nuclear Magnetic Resonance
title_full	Measurement of linear response functions in Nuclear Magnetic Resonance
title_fullStr	Measurement of linear response functions in Nuclear Magnetic Resonance
title_full_unstemmed	Measurement of linear response functions in Nuclear Magnetic Resonance
title_sort	measurement of linear response functions in nuclear magnetic resonance
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/ed2e737a40cf40d48094adba08556e1a
work_keys_str_mv	AT taoxin measurementoflinearresponsefunctionsinnuclearmagneticresonance AT julenspedernales measurementoflinearresponsefunctionsinnuclearmagneticresonance AT lucaslamata measurementoflinearresponsefunctionsinnuclearmagneticresonance AT enriquesolano measurementoflinearresponsefunctionsinnuclearmagneticresonance AT guilulong measurementoflinearresponsefunctionsinnuclearmagneticresonance
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Measurement of linear response functions in Nuclear Magnetic Resonance

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