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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Зобов, Владимир Евгеньевич, Лундин, Андрей Арнольдович
Заглавие : О втором моменте многоквантового спектра ЯМР твердого тела
Место публикации : Химическая физика. - Москва: Федеральное государственное унитарное предприятие Академический научно-издательский, производственно-полиграфический и книгораспространительский центр Наука, 2008. - Т. 27, № 9. - С. 18-25. - ISSN 0207-401X
ГРНТИ : 31.15
Аннотация: Новые экспериментальные данные о зависимости роста числа коррелированных спинов от времени в условиях наблюдения многоквантового ЯМР в твердом теле обработаны на основе развитой нами ранее микроскопической теории для описания роста второго момента спектра многоквантового ЯМР. Показано, что, как и следует из теории, рост экспоненциален в зависимости от времени для кристаллов с совершенно различными структурами. Полученные результаты обсуждаются на основе полуфеноменологических моделей.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Second moment of multiple-quantum NMR and a time-dependent growth of the number of multispin correlations in solids
Место публикации : J. Exp. Theor. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2006. - Vol. 103, Is. 6. - P904-916. - ISSN 1063-7761, DOI 10.1134/S1063776106120089
Примечания : Cited References: 39
Предметные рубрики: NUCLEAR-MAGNETIC-RESONANCE
LINE-SHAPE
SPIN SYSTEMS
DYNAMICS
SPECTRA
COHERENCES
STATE
BEHAVIOR
CRYSTAL
MODEL
Ключевые слова (''Своб.индексиров.''): correlation methods--mathematical models--nuclear magnetic resonance spectroscopy--spectrum analysis--time series analysis--four-spin time correlation--multispin correlations--second moment--time power series--quantum theory
Аннотация: The time evolution of multispin correlations (the growth of the number of correlated spins as a function of time) can be observed directly using the multiple-quantum nuclear magnetic resonance spectroscopy of solids. A quantity related to this number, namely, the second moment n(2)(t) of the intensity distribution of coherences of different orders in the multiple-quantum spectrum can be calculated using the theory proposed in this work. An approach to the calculation of the four-spin time correlation function through which this moment is expressed is developed. The main sequences of contributions in the expansion of this function into a time power series are summed using the approximation of a large number of neighbors both for systems with a secular dipole-dipole interaction and for systems with a nonsecular effective interaction. An exponential dependence of n(2)(t) is obtained. The value of n(2)(t) is additionally calculated using an expansion in terms of orthogonal operators for three model examples corresponding to different limiting realizations of spin systems. It is shown that the results of the microscopic theory at least qualitatively agree with both the results obtained for model examples and experimental results obtained recently for adamantane.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Reversible and Irreversible propagation of quantum information and its manifestation in multiple-quantum NMR spectra in solids
Коллективы : Ministry of Science and Higher Education of the Russian Federation [0082-2019-0001, AAAA-A19-119012890064-7]
Место публикации : J. Exp. Theor. Phys. - 2020. - Vol. 131, Is. 2. - P.273-279. - ISSN 1063-7761, DOI 10.1134/S1063776120060096. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 33. - This work was supported by the Ministry of Science and Higher Education of the Russian Federation within the State Task 0082-2019-0001 (State Registration Number AAAA-A19-119012890064-7)
Предметные рубрики: DYNAMICS
LOCALIZATION
SIMULATIONS
COHERENCES
Аннотация: On the basis of the earlier developed statistical theory of the growth of the effective size of correlated clusters (the number of correlated spins), an expression for the shape of the multiple-quantum (MQ) NMR spectrum is obtained that takes into account the loss of coherence in a spin system due, for example, to the controlled intervention of the experimenter. It is shown that the scrambling and decoherence processes in the MQ spectrum of the multiparticle system of a solid are not separated, unlike the corresponding spectra of some large isolated molecules [27] in a solution. The relations obtained allow one to extract the necessary information about the above processes (scrambling and decoherence) from the dependence of the MQ spectra on experimental parameters.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Quantum and classical correlations in the solid-state NMR free induction decay
Место публикации : International Conference Magnetic Resonance: Fundamental Research and Pioneering Applications: Book of abstracts. - 2014. - Ст.P 77. - P.160
Примечания : Cited References: 16
Аннотация: The free induction decay (FID) of the transverse magnetization in a dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance and in the theory of many-body systems. As it was shown earlier the FID shapes for the systems of classical magnetic moments and for quantum nuclear spin ones coincide if there are many nearly equivalent nearest neighbors n in a solid lattice. In this paper, we reduce a multispin density matrix of above system to a two-spin matrix. Then we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations at the arbitrary spin quantum number S, in the high-temperature approximation. The time dependence of these functions is expressed via the derivative of the FID shape. To extract classical correlations for S 1/2 we provide generalized POVM measurement (positive-operator-valued measure) using the basis of spin coherent states. We show that in every pair of spins the portion of quantum correlations changes from 1/2 to 1/(S + 1) when S is growing up, and quantum properties disappear completely only if S → ∞.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Quantum and classical correlations in the solid-state NMR free induction decay
Место публикации : Appl. Magn. Reson.: Springer, 2014. - Vol. 45, Is. 11. - P.1169-1177. - ISSN 0937-9347, DOI 10.1007/s00723-014-0562-2. - ISSN 1613-7507
Примечания : Cited References: 16
Предметные рубрики: LATTICE
SPINS
Аннотация: The free induction decay (FID) of the transverse magnetization in a dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance and in the theory of many-body systems. As it was shown earlier the FID shapes for the systems of classical magnetic moments and for quantum nuclear spin ones coincide if there are many nearly equivalent nearest neighbors n in a solid lattice. In this paper, we reduce a multispin density matrix of above system to a two-spin matrix. Then we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations at the arbitrary spin quantum number S, in the high-temperature approximation. The time dependence of these functions is expressed via the derivative of the FID shape. To extract classical correlations for S 1/2 we provide generalized POVM measurement (positive-operator-valued measure) using the basis of spin coherent states. We show that in every pair of spins the portion of quantum correlations changes from 1/2 to 1/(S + 1) when S is growing up, and quantum properties disappear completely only if S → ∞.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : On the Second Moment of the Multiquantum NMR Spectrum of a Solid
Место публикации : Russ. J. Phys. Chem. B: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2008. - Vol. 2, Is. 5. - P676-683. - ISSN 1990-7931, DOI 10.1134/S1990793108050035
Примечания : Cited References: 39
Предметные рубрики: MULTIPLE-QUANTUM NMR
DEPENDENT BEHAVIOR
MAGNETIC-MOMENTS
SPIN CLUSTERS
LINE-SHAPE
DYNAMICS
COHERENCES
SYSTEMS
CRYSTAL
GROWTH
Аннотация: New experimental data on the time dependence of an increase in the number of correlated spins under the conditions of the observation of the multiquantum NMR spectrum of a solid are processed on the basis of a microscopic theory for describing the growth of the second moment of multiquantum NMR developed by us earlier. As follows from the theory, the growth is an exponential function of time for crystals with quite diverse structures. The results are discussed on the basis of semiphenomenological models.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : On the effect of an inhomogeneous magnetic field and many-body localization on the increase in the second moment of multiple-quantum NMR with time
Место публикации : JETP Letters. - 2017. - Vol. 105, Is. 8. - P.514-518. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364017080148
Примечания : Cited References: 27
Аннотация: A change in the time dependence of the second moment of the distribution of intensities of coherences with various orders in the spectrum of multiple-quantum NMR in a solid at the inclusion of an inhomogeneous magnetic field in the effective interaction is studied. Both the secular dipole–dipole and nonspecular twoquantum interactions are considered as nucleus–nucleus interactions, which correspond to traditional experimental realizations. It is shown that, with an increase in the magnitude of the inhomogeneous field, an exponential increase in the second moment of multiple-quantum NMR with time changes to a power-law increase. The results obtained in this work indicate that this second moment, which determines the average number of dynamically correlated spins, can be used as a convenient characteristic for studying a transition to a many-body localized state. © 2017, Pleiades Publishing, Inc.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : On the decoherence in large NMR quantum registers
Коллективы : "Micro- and nanoelectronics – 2023", International Conference
Место публикации : Proceedings of the International Conference "Micro- and Nanoelectronics – 2023": Book of abstracts. - 2023. - Ст.q2-06. - P.83
Примечания : Cited References: 7
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : On the control of the spread of quantum information in multiple quantum NMR spectroscopy of solids
Коллективы : "Micro- and Nano-Electronics", International Conference, "Микро- и наноэлектроника", международная конференция, Квантовая информатика, симпозиум, Российская академия наук, Физико-технологический институт имени К.А. Валиева РАН
Разночтения заглавия :Загл. обл.: IС "Micro- and Nanoelectronics" (ICMNE-2021) with the extended session “Quantum Informatics” (QI-2021)
Место публикации : Proceedings of the International Conference "Micro- and Nanoelectronics – 2021". ICMNE – 2021: book of abstracts : Oct. 4-8, 2021, Moscow - Zvenigorod, Russia. - 2021. - Ст.q3-02. - P.149
Примечания : Cited References: 5
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Multiple-quantum NMR spectroscopy and quantum information spreading control in the spin systems of solids
Место публикации : J. Exp. Theor. Phys. - 2022. - Vol. 135, Is. 5. - P.752-761. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776122110139. - ISSN 10906509 (eISSN)
Примечания : Cited References: 49. - This work was supported within the State assignment of the Ministry of Science and Higher Education of the Russian Federation (registration number 1021051201992-1)
Аннотация: Multiple-quantum (MQ) solid-state NMR spectroscopy allows the growth of multiple-spin correlations and, thus, the spreading of quantum information in the object under study to be observed. Recently, in [11] it was proposed to control this process through a controlled perturbation added to the effective Hamiltonian that causes degradation of correlated spin clusters with a rate determined by the number of spins K in a cluster. However, this perturbation can also lead to degradation whose rate is determined by the coherence order M. In this paper, to investigate the influence of a small added perturbation, we used an expansion into orthogonal operators that allowed the cluster size distribution to be taken into account. In our calculations we realized a simple model with known amplitudes of the expansion into a complete set of orthogonal operators in the absence of a perturbation. We performed numerical calculations of the “preparation time” dependences of the MQ spectra, their second moments, and the coherence orders at which the MQ spectra decrease by a factor of e as well as the average correlated spin cluster sizes K¯. The coherence-order-dependent contribution to the degradation is shown to change the shape of the MQ spectrum. In particular, as the preparation time increases, the MQ spectrum can be stabilized, while the growth of K¯ is retained. Due to the change in the shape of the MQ spectrum, the relations of its characteristics to the number K¯ change compared to those for the Gaussian function (traditionally used to process the experiments). These changes should be taken into account when studying the spreading of quantum information through MQ spectroscopy.
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