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    Zobov, V. E.
    Effect of degradation processes caused by a small perturbation on the growth of the average cluster size of correlated spins in multiple quantum NMR spectroscopy of solids / V. E. Zobov, A. A. Lundin // Appl. Magn. Reson. - 2021. - Vol. 52. Is. 7. - P. 879–892, DOI 10.1007/s00723-021-01342-1. - Cited References: 33. - The study is funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of the State assignment, State registration number AAAA-A19-119012890064-7 . - ISSN 0937-9347
   Перевод заглавия: Влияние процессов деградации, вызванных малым возмущением, на рост среднего размера кластера коррелированных спинов в многоквантовой ЯМР спектроскопии твердых тел
Кл.слова (ненормированные):
Nuclear magnetic resonance spectroscopy -- Average size -- Cluster sizes -- Degradation process -- Multiple quantum NMR spectroscopy -- Orthogonal operators -- Over-complete -- Small perturbations -- Velocity ratio -- Cluster analysis
Аннотация: Multiple quantum (MQ) NMR spectroscopy of solids allows one to observe the growth and decay of multispin correlations. As a rule, the average size of the cluster of correlated spins is extracted from the width of the MQ spectrum. In the present article, the size distribution of such clusters is explored. To obtain the above distribution, the solutions for the amplitudes of the decomposition over complete sets of orthogonal operators for the two different models were used. By means of these models, we have taken into account the dependence of cluster degradation (the degradation of a cluster means, e.g., destruction of correlations in cluster or loss of particles in it) through two positions. The first one defines by the cluster size while the second one depends on the MQ coherence order of the cluster. It is shown that in dependence of the relation the rates of these degradation processes, the width of the MQ spectrum carries different information. If the first process is faster that the second one, then the width of the MQ spectrum is still determined by the average cluster size. When the velocity ratio becomes inverse, the width of the MQ spectrum takes on a smaller value, which is a consequence of the faster degradation of the MQ spectrum components with large orders of coherence.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 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.
    On the control of the spread of quantum information in multiple quantum NMR spectroscopy of solids / V. E. Zobov, A. A. Lundin // 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. - Cited References: 5
   Перевод заглавия: О контроле распространением квантовой информации в многоквантовой ЯМР спектроскопии твердых тел

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Доп.точки доступа:
Lundin, A. A.; Лундин, Андрей Арнольдович; Зобов, Владимир Евгеньевич; "Micro- and Nano-Electronics", International Conference(2021 ; Oct. ; Zvenigorod); "Микро- и наноэлектроника", международная конференция(2021 ; окт. ; Звенигород); Квантовая информатика, симпозиум(2021 ; окт. ; Звенигород)Российская академия наук; Физико-технологический институт имени К.А. Валиева РАН
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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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    Lundin, A. A.
    Asymptotic similarity of time correlation functions and shape of the 13C and 29Si NMR spectra in diamond and silicon / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2018. - Vol. 127, Is. 2. - P. 305-315, DOI 10.1134/S1063776118080216. - Cited References: 47. - We thank V.A. Atsarkin, V.V. Demidov, F.S. Dzheparov, and E. B. Feldman for the discussion of our results. This work was supported by a subsidy allocated by the Institute of Chemical Physics of the Russian Academy of Science for the State assignment, theme 0082-2018-0005, code TSITIS AAAA-A18-118020690203. . - ISSN 1063-7761. - ISSN 1090-6509
Рубрики:
SPIN SYSTEMS
   LINE-SHAPES
   RELAXATION
   SOLIDS
   PARAMAGNETS
   RESONANCE
Аннотация: Based on the proposed theory, we have investigated the shape of the NMR absorption spectra for 13C and 29Si nuclei in diamond and silicon crystals attributable to the internuclear dipole–dipole interaction. In accordance with the available experimental data, we have considered both crystals with a 100% content of magnetoactive isotopes and crystals with a comparatively low dilution by nonmagnetic nuclei. The time correlation functions (the first of which is the Fourier transform of the NMR spectrum) arising in an infinite chain of coupled differential equations are shown to be mutually similar with a slight time delay. The proposed theory allows the spectrum to be calculated analytically. The results obtained agree satisfactorily with the experimental ones. It is noted that the mutual similarity of the time correlation functions is probably a corollary of the development of dynamical chaos in the system.

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Публикация на русском языке Лундин, Андрей Арнольдович. Асимптотическое подобие временных корреляционных функций и форма спектров ЯМР 13C и 29Si в алмазе и кремнии [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. - 2018. - Т. 154 Вып. 2. - С. 354–367

Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Vorobevskoe Sh 26, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr, Krasnoyarsk Sci Ctr,Siberian Branch, Akademgorodok 50, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Institute of Chemical Physics of the Russian Academy of Science [0082-2018-0005, TSITIS AAAA-A18-118020690203]
}
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Lundin, A. A.
Multiple-quantum NMR spectroscopy and quantum information delocalization in solids in the presence of magnetic fields inhomogeneities / A. A. Lundin, V. E. Zobov // International Conference “Magnetic Resonance – Current State and Future Perspectives” (EPR-75) : book of abstracts. - Kazan, 2019. - P. 30. - Cited References: 5

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Держатели документа:
N.N. Semenov Institute of Chemical Physics, RAS
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russia

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Лундин, Андрей Арнольдович; "Magnetic Resonance - Current State and Future Perspectives", International Conference(2019 ; Sept. ; 23-27 ; Kazan, Russia); Казанский (Приволжский) федеральный университет; Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН
}
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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.
Multiple-quantum NMR spectroscopy and quantum information spreading control in the spin systems of solids / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2022. - Vol. 135, Is. 5. - P. 752-761, DOI 10.1134/S1063776122110139. - 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) . - ISSN 1063-7761. - ISSN 1090-6509
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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Публикация на русском языке Зобов, Владимир Евгеньевич. Многоквантовая ЯМР-спектроскопия и управление распространением квантовой информации в спиновых системах твердых тел [Текст] / В. Е. Зобов, А. А. Лундин // Журн. эксперим. и теор. физ. - 2022. - Т. 162 Вып. 5. - С. 778-789

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036, Krasnoyarsk, Russia
Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, 117977, Moscow, Russia

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
Dependence of the relaxation rate of coherent states on the number of correlated spins and the order of coherence / V. E. Zobov, A. A. Lundin // JETP Lett. - 2023. - Vol. 117, Is. 12. - P. 932-937, DOI 10.1134/S0021364023601525. - Cited References: 29. - This work was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment no. 122040500060-4) . - ISSN 0021-3640. - ISSN 1090-6487
Аннотация: The relaxation of the components of the multiple-quantum NMR spectrum of a solid under the effect of the dipole–dipole interactions during the evolution period is considered. It is taken into account that clusters of dynamically correlated spins of different sizes are formed in the preparatory period, and their degradation depends on their size and coherence order. To calculate the size distribution function of clusters and their degradation function, a physical model including relaxation processes is developed. Using this model, an analytical result for a multiple-quantum spectrum is obtained. Agreement is obtained between the theoretical and experimental dependences of the coherence degradation rates in adamantane scaled by the square root of the average cluster size. The parameters of the above functions are found from the comparison of these dependences.

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Публикация на русском языке Зобов, Владимир Евгеньевич. Зависимость скорости релаксации когерентных состояний от числа коррелированных спинов и порядка когерентности [Текст] / В. Е. Зобов, А. А. Лундин // Письма в ЖЭТФ. - 2023. - Т. 117 Вып. 12. - С. 929-934

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, 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.
On the decoherence in large NMR quantum registers / V. E. Zobov, A. A. Lundin // Proceedings of the International Conference "Micro- and Nanoelectronics – 2023" : Book of abstracts. - 2023. - Ст. q2-06. - P. 83. - Cited References: 7

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS
Semenov Institute of Chemical Physics, Russian Academy of Science

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич; "Micro- and nanoelectronics – 2023", International Conference(2023 ; окт. ; 2-6 ; Москва / Звенигород, Россия)
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10.

Effect of intramolecular interaction on Time Growth of Second Moment of Multiple-Quantum NMR in Solids [Text] / V. E. Zobov, A. A. Lundin // Int. Conf. "Resonances in Condensed Matter" : Book of abstracts. - 2011. - PTh06

Доп.точки доступа:
Zobov, V.E.; Lundin, A.A.; "Resonances in Condensed Matter", International Conference(2011 ; Jun. ; 21-25 ; Kazan, Russia)
}
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11.

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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12.

Zobov, V. E.
Multiple-quantum NMR spectral intensity profiles under decoherence effects / V. E. Zobov, A. A. Lundin // Modern Development of Magnetic Resonance : abstracts int. conf. / ed. Salikhov K. M. - Kazan, 2022. - P. 19. - Библиогр.: 4

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow

Доп.точки доступа:
Salikhov K. M. \ed.\; Lundin, A. A.; Зобов, Владимир Евгеньевич; "Modern Development of Magnetic Resonance", International conference(2022; 3-7 Oct. ; Kazan)
}
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13.

    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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14.

Zobov, V. E.
Decay of Multispin Multiple-Quantum Coherent States in the NMR of a Solid and the Stabilization of Their Intensity Profile with Time / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2011. - Vol. 113, Is. 6. - P. 1006-1014, DOI 10.1134/S1063776111140111. - Cited References: 27 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary

Кл.слова (ненормированные):
Cluster sizes -- Coherent state -- Decay rate -- Effective size -- Experimental data -- Intensity profiles -- Coherent light -- Decay (organic) -- Stabilization
Аннотация: Variations, experimentally observed in [14], in the intensity profiles of multiple-quantum (MQ) coherences in the presence of two special types of perturbations are explained on the basis of the theory, earlier developed by the authors, of the growth of the effective size of correlated clusters (the number of correlated spins) and the relaxation of MQ coherent states [23]. The intensity and the character of perturbation were controlled by the experimenters. It is shown that the observed stabilization of profiles with time is not associated with the stabilization of the cluster size. Quite the contrary, a cluster of correlated spins monotonically grows, while the observed variations in the intensity profile and its stabilization with time are attributed to the dependence of the decay rate of an MQ coherence on its order (its position in the MQ spectrum). The results of the theory are in good agreement with the experimental data.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН
Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, 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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15.

Zobov, V. E.
Decay of multispin multiquantum coherent states in the NMR of a solid / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2011. - Vol. 112, Is. 3. - P. 451-459, DOI 10.1134/S1063776111020129. - Cited References: 24 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
SYSTEMS
SPECTRA
Кл.слова (ненормированные):
Adiabatic approximations -- Andersons -- Coherent state -- Dynamic phenomena -- Experimental data -- Local fields -- Model-based -- Radiospectroscopy -- Relaxation functions -- Spin precession -- Theoretical result -- Two-component -- Coherent light
Аннотация: A model based on the Anderson adiabatic approximation, which is widely used for describing various aspects of dynamic phenomena in conventional radiospectroscopy, is proposed for describing the decay of multispin multiquantum coherent states in a solid. The coherent state relaxation function is represented by the product of two functions corresponding to spin precession in a two-component local field with a correlated and an uncorrelated component. Theoretical results of this study explain the experimental data reported in a number of publications and are in good agreement with these data.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Kirenskii Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, 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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16.

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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17.

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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18.

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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Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
}
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19.

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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20.

    Lundin, A. A.
    Decoherence-induced stabilization of the multiple-quantum NMR-spectrum width / A. A. Lundin, V. E. Zobov // Appl. Magn. Reson. - 2016. - Vol. 47, Is. 7. - P. 701-710, DOI 10.1007/s00723-016-0770-z. - Cited References:26 . - ISSN 0937-9347. - ISSN 1613-7507
   Перевод заглавия: Cтабилизация ширины многоквантового спектра ЯМР вследствие затухания

РУБ Physics, Atomic, Molecular & Chemical + Spectroscopy
Рубрики:
SIMULATIONS
   DYNAMICS
   SYSTEMS
   SOLIDS
Аннотация: The time dependence of an increase in the number of correlated spins in cluster was calculated for a particular variant of multiple-quantum (MQ) nuclear magnetic resonance spectroscopy using an effective two-quantum Hamiltonian that includes conventional secular nuclear dipole-dipole interaction as a weak perturbation at the stage of correlation preparation. It was shown that the cluster size grows steadily, while the width of the MQ spectrum stabilizes because the decay rates of the spectral components located at different areas of the MQ spectrum are different. The MQ bandwidth was also calculated as a function of the preparation time for various perturbation strengths. The results obtained are in excellent agreement with the experimental data reported in Alvarez and Suter (Phys Rev A 84:012320, 2011).

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Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Ul Kosygina 4, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
}
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