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Зобов, Владимир Евгеньевич.
О втором моменте многоквантового спектра ЯМР твердого тела / В. Е. Зобов, А. А. Лундин // Химическая физика. - 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.

РИНЦ
Держатели документа:
Институт физики им. Л.В. Киренского Сибирского отделения Российской академии наук, Красноярск
Институт химической физики им. Н.Н. Семенова Российской академии наук, Москва

Доп.точки доступа:
Лундин, Андрей Арнольдович; Lundin A. A.; Zobov, V. E.
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    Lundin, A. A.
    The stabilization of width of multiple-quantum NMR spectrum induced by decoherence / A. A. Lundin, V. E. Zobov // Int. conf. "Spin physics, spin chem., and spin technol.". - 2015. - P. 112. - Библиогр.: 4 назв.
   Перевод заглавия: Стабилизация ширины многоквантового спектра ЯМР вследствие затухания

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Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Лундин, Андрей Арнольдович; "Spin physics, spin chemistry, and spin technology", Internnational conference(2015 ; Jun. ; 1-5 ; Saint Peterburg); Физико-технический институт им. А.Ф. Иоффе РАН; Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН"Инно-мир", центр межрегионального инновационного развития
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Lundin, A. A.
Solid-state NMR free induction decay, simulated by the system of classical magnetic moments and quantum correlations / A. A. Lundin, V. E. Zobov // Russ. J. Phys. Chem. B. - 2021. - Vol. 15, Is. 5. - P. 839-847, DOI 10.1134/S1990793121050079. - Cited References: 34. - This study was carried out as part of state assignment 0082-2019-0001 (registration number AAAA-A19-119012890064-7) . - ISSN 1990-7931. - ISSN 1990-7923

РУБ Physics, Atomic, Molecular & Chemical
Рубрики:
HIGH-TEMPERATURE DYNAMICS
   HEISENBERG-MODEL
   SPIN SIMULATIONS
   SHAPE
Кл.слова (ненормированные):
spin -- paramagnetic -- quantum technology -- spin dynamics -- quantum computing
Аннотация: In the past decade, nuclear magnetic resonance (NMR) has been actively used to study the basic principles of quantum computers. It is assumed that quantum correlations play a significant role in their performance. They exist at both low and high temperatures. At the same time, the time correlation functions of nuclear spin systems of solids determine the observed signals in traditional NMR implementations. The separation of such signals into quantum and classical components has not previously been carried out and will be performed in this study for the most important of the correlational functions observed in magnetic resonance: the free induction decay (FID).

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Публикация на русском языке Лундин, Андрей Арнольдович. Сигнал свободной прецессии ЯМР твердого тела, его моделирование посредством системы классических магнитных моментов и квантовые корреляции [Текст] / А. А. Лундин, В. Е. Зобов // Химич. физика. - 2021. - Т. 40 № 9. - С. 41-49

Держатели документа:
Russian Acad Sci, Semenov Fed Res Ctr Chem Phys, Moscow, Russia.
Russian Acad Sci, Siberian Branch, Krasnoyarsk Sci Ctr, Kirensky Inst Phys,Fed Res Ctr, Krasnoyarsk, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; [AAAA-A19-119012890064-7]
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Zobov, V. E.
Second moment of multiple-quantum NMR and a time-dependent growth of the number of multispin correlations in solids / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2006. - Vol. 103, Is. 6. - P. 904-916, DOI 10.1134/S1063776106120089. - Cited References: 39 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
NUCLEAR-MAGNETIC-RESONANCE
   LINE-SHAPE
   SPIN SYSTEMS
   DYNAMICS
   SPECTRA
   COHERENCES
   STATE
   BEHAVIOR
   CRYSTAL
   MODEL
Кл.слова (ненормированные):
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 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 is obtained. The value of 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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Держатели документа:
Russian Acad Sci, Siberian Div, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 117977, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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    Zobov, V. E.
    Reversible and Irreversible propagation of quantum information and its manifestation in multiple-quantum NMR spectra in solids / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2020. - Vol. 131, Is. 2. - P. 273-279, DOI 10.1134/S1063776120060096. - 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) . - ISSN 1063-7761. - ISSN 1090-6509
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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Публикация на русском языке Зобов, Владимир Евгеньевич. Обратимое и необратимое распространение квантовой информации и проявление его в спектрах многоквантового ЯМР в твердом теле [Текст] / В. Е. Зобов, А. А. Лундин // Журн. эксперим. и теор. физ. - 2020. - Т. 158 Вып. 2. - С. 300-308

Держатели документа:
RAS, Fed Res Ctr, Kirensky Inst Phys, KSC,SB, Krasnoyarsk 660036, Russia.
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia.

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич; Ministry of Science and Higher Education of the Russian Federation [0082-2019-0001, AAAA-A19-119012890064-7]
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Zobov, V. E.
Quantum and classical correlations in the solid-state NMR free induction decay / V. E. Zobov, A. A. Lundin // International Conference Magnetic Resonance: Fundamental Research and Pioneering Applications : Book of abstracts. - 2014. - Ст. P 77. - P. 160. - 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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Lundin, A. A.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Quantum and classical correlations in the solid-state NMR free induction decay / V. E. Zobov, A. A. Lundin // Appl. Magn. Reson. - 2014. - Vol. 45, Is. 11. - P. 1169-1177, DOI 10.1007/s00723-014-0562-2. - Cited References: 16 . - ISSN 0937-9347. - ISSN 1613-7507

РУБ Physics, Atomic, Molecular & Chemical + Spectroscopy
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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Держатели документа:
RAS, Siberian Branch, LV Kirensky Inst Phys, Krasnoyarsk 660036, Russia
RAS, NN Semenov Inst Chem Phys, Moscow 117977, Russia

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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Lundin, A. A.
Order dependence of the profile of the intensities of multiple-quantum coherences / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2015. - Vol. 120, Is. 5. - P. 762-771, DOI 10.1134/S1063776115040093. - Cited References:62 . - ISSN 1063. - ISSN 1090-6509. -

РУБ Physics, Multidisciplinary
Рубрики:
PARAMAGNETIC SPIN SYSTEMS
   FREE-INDUCTION DECAY
   NMR-SPECTRA
   AUTOCORRELATION FUNCTIONS
   FLUCTUATION SPECTRUM
   TEMPERATURE DYNAMICS
   LINE-SHAPE
   SOLIDS
   IRREVERSIBILITY
   BEHAVIOR
Аннотация: A modification of the widespread phenomenological model theory of multiple-quantum (MQ) nuclear magnetic resonance spectra of a single cluster of correlated spins has been developed. In contrast to the mentioned theory, the size distribution of such clusters has been consistently taken into account. To obtain the distribution, solutions for the amplitudes of the expansion in the complete set of orthogonal operators are used. Expressions specifying the dependence of the profile of the intensities of MQ coherences on their number n (order) have been obtained. The total form of the dependence has been evaluated by means of the numerical implementation of the resulting expressions. The asymptotic expressions for large n values (wings of the spectrum) have been obtained analytically by the saddle-point method. It has been shown that the dependence under study has a Gaussian central part and exponential wings. The results obtained are in agreement with the previous calculations for some model systems and existing experimental data.

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Публикация на русском языке Лундин, Андрей Арнольдович. Зависимость профиля интенсивностей многоквантовых когерентностей от порядков [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. : Наука, 2015. - Т. 147 Вып. 5. - С. 885-895

Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia.
Russian Acad Sci, Akademgorodok, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
On the Second Moment of the Multiquantum NMR Spectrum of a Solid / V. E. Zobov, A. A. Lundin // Russ. J. Phys. Chem. B. - 2008. - Vol. 2, Is. 5. - P. 676-683, DOI 10.1134/S1990793108050035. - Cited References: 39 . - ISSN 1990-7931

РУБ Physics, Atomic, Molecular & Chemical
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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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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10.

Zobov, V. E.
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 / V. E. Zobov, A. A. Lundin // JETP Letters. - 2017. - Vol. 105, Is. 8. - P. 514-518, DOI 10.1134/S0021364017080148. - Cited References: 27 . - ISSN 0021-3640
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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Публикация на русском языке Зобов, Владимир Евгеньевич. О влиянии неоднородного магнитного поля и многочастичной локализации на рост со временем второго момента многоквантового ЯМР [Текст] / В. Е. Зобов, А. А. Лундин // Письма в Журн. эксперим. и теор. физ. : Наука, 2017. - Т. 105 Вып. 7-8. - С. 499-503

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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