Measurement of linear response functions in Nuclear Magnetic Resonance
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 1 H atoms in a solution of 13 C-labeled chloroform. R...
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| Published in | Scientific reports Vol. 7; no. 1; pp. 12797 - 9 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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09.10.2017
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| 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
1
H atoms in a solution of
13
C-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
13
C 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. |
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| AbstractList | 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. 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 1 H atoms in a solution of 13 C-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 13 C 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. 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 1 H atoms in a solution of 13 C-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 13 C 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. 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 H atoms in a solution of C-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 C 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. 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. |
| ArticleNumber | 12797 |
| Author | Long, Gui-Lu Lamata, Lucas Pedernales, Julen S. Xin, Tao Solano, Enrique |
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| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/28993695$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1016_j_physa_2018_06_103 crossref_primary_10_1021_acs_jpclett_3c03499 crossref_primary_10_1016_j_physe_2018_01_023 crossref_primary_10_1016_j_pnmrs_2024_02_002 crossref_primary_10_1007_s11433_019_9366_7 crossref_primary_10_1103_PhysRevA_96_062303 crossref_primary_10_1103_PhysRevResearch_5_013027 |
| Cites_doi | 10.1073/pnas.94.5.1634 10.1103/RevModPhys.76.1037 10.1002/1521-3978(200009)48:9/11<875::AID-PROP875>3.0.CO;2-V 10.1088/1367-2630/13/5/053023 10.1103/RevModPhys.39.69 10.1016/j.jmr.2004.11.004 10.1016/S0730-725X(98)00003-4 10.1016/S0167-2789(98)00046-3 10.1103/PhysRevA.65.042323 10.1146/annurev.pc.16.100165.000435 10.1103/PhysRevLett.113.020505 10.1038/srep09981 10.1119/1.1446857 10.1103/PhysRevA.92.022126 10.1143/JPSJ.12.570 10.1103/PhysRevA.57.3348 10.1063/1.2838166 10.1103/PhysRevA.78.012328 10.1007/3-540-44874-8_4 10.1103/PhysRev.130.2529 |
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| Snippet | 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... 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... 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... |
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| SubjectTerms | 639/766/483/1139 639/766/483/481 Atoms & subatomic particles Chloroform Humanities and Social Sciences Laboratories Magnetic fields Magnetic susceptibility multidisciplinary NMR Nuclear magnetic resonance Physics Science Science (multidisciplinary) |
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| Title | Measurement of linear response functions in Nuclear Magnetic Resonance |
| URI | https://link.springer.com/article/10.1038/s41598-017-13037-4 https://www.ncbi.nlm.nih.gov/pubmed/28993695 https://www.proquest.com/docview/1957849229 https://search.proquest.com/docview/1949695412 https://pubmed.ncbi.nlm.nih.gov/PMC5634476 https://doaj.org/article/ed2e737a40cf40d48094adba08556e1a |
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