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Zobov, V. E.
A Monte Carlo study of the dependence of the growth parameter for trees on the lattice dimension in the Eden model / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 2001. - Vol. 126, Is. 2. - P. 270-279, DOI 10.1023/A:1005260114182. - Cited References: 17 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
DIFFUSION-LIMITED AGGREGATION
   BRANCHED POLYMERS
   HIGH-TEMPERATURES
   EXPANSION
   TIME
Аннотация: We use the Monte Carlo method to compute the number of trees with n edges in the Eden model on d-dimensional simple cubic lattices for d = 2, 3, 4, 6, 8, 10. We compare these numbers with the exact data derived by the enumeration method up to n = 12 on the square lattice and up to n = 10 on the cubic lattice. We find that for d greater than or equal to 3, the computed values of the growth parameter for trees agree with the values that we derived earlier by the expansion in inverse powers of 2d - 1.

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Держатели документа:
RAS, Siberian Branch, Kirenskii Phys Inst, Krasnoyarsk, Russia
Krasnoyarsk State Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Physics Institute, Siberian Branch, RAS, Krasnoyarsk, Russian Federation
Krasnoyarsk State University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Adder on ternary base elements for a quantum computer / V. E. Zobov, D. I. Pekhterev // JETP Letters. - 2009. - Vol. 89, Is. 5. - P. 260-263, DOI 10.1134/S0021364009050105. - Cited References: 14 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
FULL ADDER
Аннотация: A circuit consisting of elementary quantum logic operators has been proposed for an adder in the ternary number system. A sequence of RF magnetic field pulses has been found for its implementation by the nuclear magnetic resonance method on a chain of quadrupole nuclei with spin I = 1. The numerical simulation of the adder operation has been performed.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, 660036 Krasnoyarsk, Russian Federation
Siberian Federal University, 660041 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Pekhterev, D. I.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
Adder on Ternary Base Elements for a Quantum Computer (vol 89, pg 260, 2009) / V. E. Zobov, D. I. Pekhterev // JETP Letters. - 2009. - Vol. 90, Is. 8. - P. 592-592, DOI 10.1134/S0021364009200090. - Cited References: 1 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, Krasnoyarsk 660041, Russian Federation
Доп.точки доступа:
Pekhterev, D. I.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
Associative memory on qutrits by means of quantum annealing / V. E. Zobov, I. S. Pichkovskiy // International Conference “Magnetic Resonance – Current State and Future Perspectives” (EPR-75) : book of abstracts. - Kazan, 2019. - P. 63. - Cited References: 6

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

Доп.точки доступа:
Pichkovskiy, I. S.; Зобов, Владимир Евгеньевич; "Magnetic Resonance - Current State and Future Perspectives", International Conference(2019 ; Sept. ; 23-27 ; Kazan, Russia); Казанский (Приволжский) федеральный университетКазанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН
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    Zobov, V. E.
    Associative memory on qutrits by means of quantum annealing / V. Zobov, I. Pichkovskiy // Quantum Inf. Process. - 2020. - Vol. 19, Is. 9. - Ст. 342, DOI 10.1007/s11128-020-02851-x. - Cited References: 23 . - ISSN 1570-0755. - ISSN 1573-1332
   Перевод заглавия: Ассоциативная память на кутритах посредством квантового отжига
Кл.слова (ненормированные):
Quantum adiabatic algorithm -- Quantum annealing -- Qubit -- Qutrit -- Associative memory -- Memory capacity
Аннотация: When associative memory is implemented on the well-studied Hopfield network, patterns are recorded in the interaction constants between binary neurons. These constants are chosen so that each pattern should have its own minimum energy of the system described by the Ising model. In the quantum version of the Hopfield network, it was proposed to recall such states by the adiabatic change of the Hamiltonian in time. Qubits, quantum elements with two states, for example, spins with S=1/2 were considered as neurons. In this paper, for the first time, we study the function of associative memory using three-level quantum elements-qutrits, represented by spins with S=1. We record patterns with the help of projection operators. This choice is due to the need to operate with a state with a zero spin projection, whose interaction with the magnetic field vanishes. We recall the state corresponding to one of the patterns recorded in the memory, or superposition of such states by means of quantum annealing. To equalize the probabilities of finding the system in different states of superposition, an auxiliary Hamiltonian is proposed, which is turned off at the end of evolution. Simulations were performed on two and three qutrits and an increase in the memory capacity after replacing qubits with qutrits was shown.

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RAS, Fed Res Ctr, Kirensky Inst Phys, KSC,SB, Akademgorodok 50,Bld 38, Krasnoyarsk, Russia.

Доп.точки доступа:
Pichkovskiy, I. S.; Пичковский, Иван Сергеевич; Зобов, Владимир Евгеньевич
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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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ZOBOV, V. E.
AUTO-CORRELATION FUNCTION OF A HEISENBERG PARAMAGNET IN THE APPROXIMATION OF A SELF-CONSISTENT FLUCTUATING FIELD / V. E. ZOBOV // Theor. Math. Phys. - 1988. - Vol. 77, Is. 3. - P. 1299-1309, DOI 10.1007/BF01016985. - Cited References: 22 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical

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Доп.точки доступа:
Зобов, Владимир Евгеньевич
}
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ZOBOV, V. E.
AUTOCORRELATION FUNCTIONS OF THE ANISOTROPIC HEISENBERG PARAMAGNET IN THE APPROXIMATION OF A SELF-CONSISTENT FLUCTUATING FIELD / V. E. ZOBOV // Theor. Math. Phys. - 1990. - Vol. 84, Is. 1. - P. 751-757, DOI 10.1007/BF01017200. - Cited References: 10 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
RELAXATION
Аннотация: The method proposed earlier for investigating the dynamics of the isotropic Heisenberg paramagnet at high temperatures is generalized to the anisotropic case. A system of nonlinear integrodifferential equations relating the three autocorrelation functions of the x, y, and z components of an individual spin is obtained. A solution of the system is sought in the form of series in powers of the time and is investigated on the plane of the complex time variable. The coefficients of the series up to the tenth order for the xy model and the model with truncated dipole interaction are calculated, and the parameters of the singular points nearest the origin are determined from them.

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Доп.точки доступа:
Зобов, Владимир Евгеньевич
}
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    Zobov, V. E.
    Clustering by quantum annealing on the three-level quantum elements qutrits / V. E. Zobov, I. S. Pichkovskiy // Quantum Inf. Process. - 2022. - Vol. 21, Is. 4. - Ст. 144, DOI 10.1007/s11128-022-03482-0. - Cited References: 28. - This study was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1. We are grateful for their trust and assistance in research . - ISSN 1570-0755
   Перевод заглавия: Кластеризация посредством квантового отжига на квантовых трёхуровневых элементах кутритах
Кл.слова (ненормированные):
Quantum adiabatic algorithm -- Quantum annealing -- Qutrit -- Clustering
Аннотация: Clustering is grouping of data by the proximity of some properties. We report on the possibility of increasing the efficiency of clustering of points in a plane using artificial quantum neural networks after the replacement of the two-level neurons called qubits represented by the spins S = 1/2 by the three-level neurons called qutrits represented by the spins S = 1. The problem has been solved by the slow adiabatic change of the Hamiltonian in time. The methods for controlling a qutrit system using projection operators have been developed and the numerical simulation has been performed. The Hamiltonians for two well-known clustering methods, one-hot encoding and k-means, have been built. The first method has been used to partition a set of six points into three or two clusters and the second method, to partition a set of nine points into three clusters and seven points into four clusters. The simulation has shown that the clustering problem can be effectively solved on qutrits represented by the spins S = 1. The advantages of clustering on qutrits over that on qubits have been demonstrated. In particular, the number of qutrits required to represent N data points is smaller than the number of qubits by a factor of log 2N/ log 3N. For qutrits, the simplest is to partition the data points into three clusters rather than two ones. At the data partition into more than three clusters, it has been proposed to number the clusters by the numbers of states of the corresponding multi-spin subsystems, instead of using the numbers of individual spins. This reduces even more the number of qutrits (Nlog 3K instead of NK) required to implement the algorithm.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Pichkovskiy, I. S.; Пичковский, Иван Сергеевич; Зобов, Владимир Евгеньевич
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10.

    Pichkovskiy, I. S.
    Clustering into three groups on a quantum processor of five spins S = 1, controlled by pulses of resonant RF fields / I. S. Pichkovskiy, V. E. Zobov // Appl. Magn. Reson. - 2023. - Vol. 54, Is. 7. - P. 661-677, DOI 10.1007/s00723-023-01544-9. - Cited References: 44. - This work funded by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1 . - ISSN 0937-9347. - ISSN 1613-7507
   Перевод заглавия: Кластеризация на три группы на квантовом процессоре из пяти спинов S = 1, управляемом импульсами резонансных РЧ полей
Аннотация: We consider a quantum processor based on five qutrits represented by spins S = 1, which is driven by radio frequency (RF) pulses selective in transitions between adjacent levels. Numerical simulation of the implementation of the quantum-adiabatic clustering algorithm was performed on the example of partitioning a set of six points into three groups. We find the amplitudes and durations of rectangular RF pulses, as well as the durations of free evolution intervals in the control pulse sequence, which made it possible to engineer a time-dependent effective Hamiltonian in the discrete-time approximation. Also we studied the dependence of the implementation fidelity on the parameters. We took quadrupole nuclei as qutrits, but the results obtained will be useful for controlling quantum processors based on qutrits represented by other systems.

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

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Пичковский, Иван Сергеевич
}
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11.

Pichkovskiy, I. S.
Clustering into three groups on a quantum processor of Ÿve spins S = 1, controlled by pulses of resonant RF Ÿelds / I. S. Pichkovskiy, V. E. Zobov // Modern Development of Magnetic Resonance : abstracts int. conf. / ed. Salikhov K. M. - Kazan, 2022. - P. 51. - Библиогр.: 2

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk

Доп.точки доступа:
Salikhov K. M. \ed.\; Zobov, V. E.; Зобов, Владимир Евгеньевич; "Modern Development of Magnetic Resonance", International conference(2022; 3-7 Oct. ; Kazan)
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12.

Zobov, V. E.
Concentration dependence of the wings of a dipole-broadened magnetic resonance line in magnetically diluted lattices / V. E. Zobov, M. M. Kucherov // J. Exp. Theor. Phys. - 2017. - Vol. 124, Is. 1. - P. 151-158, DOI 10.1134/S106377611615005X. - Cited References: 34 . - ISSN 1063-7761
Кл.слова (ненормированные):
Drug interactions -- Magnetic fields -- Magnetic resonance -- Magnetism -- Nonlinear equations -- Optical systems -- Autocorrelation functions -- Concentration dependence -- High-frequency asymptotics -- Local field approximations -- Magnetic resonance line -- Modulation frequencies -- Strong static magnetic fields -- Time autocorrelation functions -- Autocorrelation
Аннотация: The singularities of the time autocorrelation functions (ACFs) of magnetically diluted spin systems with dipole–dipole interaction (DDI), which determine the high-frequency asymptotics of autocorrelation functions and the wings of a magnetic resonance line, are studied. Using the self-consistent fluctuating local field approximation, nonlinear equations are derived for autocorrelation functions averaged over the independent random arrangement of spins (magnetic atoms) in a diamagnetic lattice with different spin concentrations. The equations take into account the specificity of the dipole–dipole interaction. First, due to its axial symmetry in a strong static magnetic field, the autocorrelation functions of longitudinal and transverse spin components are described by different equations. Second, the long-range type of the dipole–dipole interaction is taken into account by separating contributions into the local field from distant and near spins. The recurrent equations are obtained for the expansion coefficients of autocorrelation functions in power series in time. From them, the numerical value of the coordinate of the nearest singularity of the autocorrelation function is found on the imaginary time axis, which is equal to the radius of convergence of these expansions. It is shown that in the strong dilution case, the logarithmic concentration dependence of the coordinate of the singularity is observed, which is caused by the presence of a cluster of near spins whose fraction is small but contribution to the modulation frequency is large. As an example a silicon crystal with different 29Si concentrations in magnetic fields directed along three crystallographic axes is considered. © 2017, Pleiades Publishing, Inc.

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Публикация на русском языке Зобов, Владимир Евгеньевич. Концентрационная зависимость крыльев дипольно-уширенной линии магнитного резонанса в магниторазбавленных решетках [Текст] / В. Е. Зобов, М. М. Кучеров // Журн. эксперим. и теор. физ. : Наука, 2017. - Т. 151 Вып. 1. - С. 174–182

Держатели документа:
Kirenskii Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation
Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kucherov, M. M.; Зобов, Владимир Евгеньевич
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13.

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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14.

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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15.

    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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16.

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

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Lundin, A. A.; Зобов, Владимир Евгеньевич
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17.

Zobov, V. E.
Dynamics in the systems with the 3-spin coupling induced by the strong radiofrequency field / V. E. Zobov, M. A. POPOV // Zhurnal Eksperimentalnoi Teor. Fiz. - 1993. - Vol. 103, Is. 6. - P. 2129-2141. - Cited References: 24 . - ISSN 0044-4510

РУБ Physics, Multidisciplinary
Рубрики:
RESONANCE
LINE
Аннотация: The dynamics of the crystal nucleus spin system in constant and continuous strong radiofrequency magnetic fields is studied. The variation of the relaxation properties of the magnetization perpendicular to the effective field is studied with changing the field orientation in the rotating frame of coordinates and with changing the relation in the mean hamiltonian of two- and three-spin dipole-dipole couplings. The third and fourth moments of the NMR spectrum in the rotating frame of coordinates and the free precession fall are calculated by means of the memory function. The connection between the three-spin coupling and the features of such falls observed in the experiments under magic angle and bias from it is explained.

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Доп.точки доступа:
POPOV, M. A.; Зобов, Владимир Евгеньевич
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18.

Zobov, V. E.
Effect of a phase factor on the minimum time of a quantum gate / V. E. Zobov, V. P. Shauro // J. Exp. Theor. Phys. - 2014. - Vol. 118, Is. 1. - P. 18-26, DOI 10.1134/S106377611401021X. - Cited References: 42 . - ISSN 1063-7761. - ISSN 1090-6509

РУБ Physics, Multidisciplinary
Рубрики:
ALGORITHMS
Аннотация: A relationship between the phase factor of a quantum gate, the layout of energy levels of its effective Hamiltonian, and the implementation time of the gate is demonstrated. By an example of the direct and inverse quantum Fourier transforms (QFT) gates for a qutrit represented by a quadrupole nucleus with spin I = 1, as well as for a system of two qubits (I = 1/2), effective Hamiltonians and minimum implementation times corresponding to different global phases are obtained. Implementation schemes are proposed for these Hamiltonians by the nuclear magnetic resonance (NMR) technique with the use of sequences of radio-frequency (RF) pulses separated by intervals of free evolution. Analytic results for the minimum times of gates are in agreement with the results obtained by numerical optimization methods. The phase considered is divided into dynamic and geometric parts.

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Публикация на русском языке Зобов, Владимир Евгеньевич. О влиянии фазового множителя на минимальное время реализации квантового вентиля [Текст] / В. Е. Зобов, В. П. Шауро // Журн. эксперим. и теор. физ. : Наука, 2014. - Т. 145 Вып. 1. - С. 25-34

Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Зобов, Владимир Евгеньевич
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19.

    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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20.

Zobov, V. E.
Effect of intramolecular interaction on time growth of second moment of multiple quantum NMR in solids / V. E. Zobov, A. A. Lundin // INTERNATIONAL CONFERENCE ON RESONANCES IN CONDENSED MATTER: ALTSHULER100. Ser. Journal of Physics Conference Series : IOP PUBLISHING LTD, 2011. - Vol. 324: International Conference on Resonances in Condensed Matter (JUN 21-25, 2011, Kazan, RUSSIA). - Ст. 12010, DOI 10.1088/1742-6596/324/1/012010. - Cited References: 12 . - ISBN 1742-6588

РУБ Physics, Condensed Matter
Рубрики:
COHERENCES
DYNAMICS
Кл.слова (ненормированные):
Dipole dipole interactions -- Double-quantum -- Intramolecular interactions -- Multiple quantum NMR -- Nuclear spin system -- Quantum spectrum -- Rate increase -- Second moments -- Solids containing methyl groups -- Time dependence -- Functional groups -- Quantum optics -- Solids -- Spin dynamics -- Hamiltonians
Аннотация: The time dependence of the NMR multiple quantum spectrum in solids containing methyl groups is investigated. We studied both of types of the nuclear spin systems: namely linking by secular part of the mutual dipole-dipole interaction and linking by effective double quantum Hamiltonian. It is revealed for the first type of systems the rate with the time of the growing up of the second moment when intramolecular interaction is present becomes less in compare with situation when a strong intramolecular interaction is absent. On the contrary for the second type of Hamiltonian the above rate increases.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russian Federation
N.N. Semenov Institute of Chemical Physics, RAS, 117977, Moscow, Russian Federation

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