Библиотека института физики им. Л.В. Киренского СО РАН

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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bose-Hubbard Hamiltonian: Quantum chaos approach
Место публикации : Int. J. Mod. Phys. B: World Scientific Publishing, 2016. - Vol. 30, Is. 10. - Ст.1630009. - ISSN 0217-9792, DOI 10.1142/S0217979216300097. - ISSN 1793-6578(eISSN)
Примечания : Cited References:42
Предметные рубрики: Optical lattice
Dynamics
Atoms
States
Model
Ключевые слова (''Своб.индексиров.''): cold atoms in optical lattices--quantum transport--nonlinear dynamics and chaos
Аннотация: We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics - the Bose-Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : Bound states in the continuum in open quantum billiards with a variable shape
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2006. - Vol. 73, Is. 23. - Ст.235342. - ISSN 1098-0121, DOI 10.1103/PhysRevB.73.235342
Примечания : Cited References: 24
Предметные рубрики: TRANSMISSION
RESONANCES
ELECTRON
DYNAMICS
Аннотация: We show the existence of bound states in the continuum (BICs) in quantum billiards (QBs) that are opened by attaching single-channel leads to them. They may be observed by varying an external parameter continuously, e.g., the shape of the QB. At some values of the parameter, resonance states with vanishing decay width (the BICs) occur. They are localized almost completely in the interior of the closed system. The phenomenon is shown analytically to exist in the simplest case of a two level QB and is complemented by numerical calculations for a real QB.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kuzubov A. A., Krasnov P. O., Kozhevnikov T. A., Popov M. A.
Заглавие : Calculation of the energy of binding of titanium and scandium complexes to the surface of carbon nanotubes
Коллективы : Analytical departmental program "Development of Higher Education Potential" [2.1.1/2584]; Russian Foundation for Basic Research [09-02-00324-a]
Место публикации : Russ. J. Phys. Chem. B. - 2009. - Vol. 3, Is. 4. - P.679-683. - ISSN 1990-7931, DOI 10.1134/S1990793109040289
Примечания : Cited References: 27. - This work was supported by the analytical departmental program "Development of Higher Education Potential (2009-2100)" (grant 2.1.1/2584) and by the Russian Foundation for Basic Research, project no. 09-02-00324-a.
Предметные рубрики: MOLECULAR-HYDROGEN COMPLEXES
STORAGE
TEMPERATURE
TRANSITION
DYNAMICS
METALS
Аннотация: Complexes of zigzag-type carbon nanotubes (CNTs) with transition metal atoms, scandium and titanium, were studied. It was demonstrated that the energy of binding of both atoms with a carbon surface decreases whereas the rate of diffusion along the surface increases with increasing nanotube diameter. The rate constant of migration of scandium atoms over a CNT surface are several orders of magnitude higher than that for titanium atoms, because the CNT surface-Sc atom binding energy is substantially lower.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Nazmitdinov R. G., Pichugin K. N., Rotter I., Seba P.
Заглавие : Conductance of open quantum billiards and classical trajectories
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 8. - Ст.85322. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.085322
Примечания : Cited References: 46
Предметные рубрики: BALLISTIC MICROSTRUCTURES
CHAOTIC SCATTERING
FLUCTUATIONS
DOTS
TRANSPORT
DYNAMICS
STATES
MAGNETOTRANSPORT
STATISTICS
RESONANCES
Аннотация: We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner in which the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes and bouncing ball modes. In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Decoherence-induced stabilization of the multiple-quantum NMR-spectrum width
Место публикации : Appl. Magn. Reson.: Springer, 2016. - Vol. 47, Is. 7. - P.701-710. - ISSN 0937-9347, DOI 10.1007/s00723-016-0770-z. - ISSN 1613-7507(eISSN)
Примечания : Cited References:26
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Mantica G.
Заглавие : Driven Harper model
Место публикации : Phys. Rev. B: American Physical Society, 2012. - Vol. 86, Is. 5. - Ст.54306. - ISSN 1098-0121, DOI 10.1103/PhysRevB.86.054306
Примечания : Cited References: 14. - Computations for this work have been performed on the CSN4 cluster of INFN in Pisa. G. M. acknowledges the support of MIUR-PRIN project "Nonlinearity and disorder in classical and quantum transport processes" and A. K. acknowledges the support of SB RAS project "Dynamics of atomic Bose-Einstein condensates in optical lattices" and RFBR project "Tunneling of the macroscopic quantum states."
Предметные рубрики: MAGNETIC-FIELDS
ELECTRONS
DYNAMICS
Аннотация: We analyze the driven Harper model, which appears in the problem of tight-binding electrons in the Hall configuration (normal to the lattice plane magnetic field plus in-plane electric field). The presence of an electric field extends the celebrated Harper model, which is parametrized by the Peierls phase, into the driven Harper model, which is additionally parametrized by two Bloch frequencies, associated with the two components of the electric field. We show that the eigenstates of the driven Harper model are either extended or localized, depending on the commensurability of the Bloch frequencies. This results holds for both rational and irrational values of the Peierls phase. In the case of incommensurate Bloch frequencies we provide an estimate for the wave-function localization length.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zobov V. E., Lundin A. A.
Заглавие : Effect of intramolecular interaction on time growth of second moment of multiple quantum NMR in solids
Место публикации : 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. - ISBN 1742-6588, DOI 10.1088/1742-6596/324/1/012010
Примечания : Cited References: 12
Предметные рубрики: COHERENCES
DYNAMICS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K., Schanz H., Seba P.
Заглавие : Effective coupling for open billiards
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2001. - Vol. 64, Is. 5. - Ст.56227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.64.056227
Примечания : Cited References: 30
Предметные рубрики: QUANTUM CHAOTIC SCATTERING
MICROWAVE CAVITY
RESONANCE POLES
QUANTIZATION
STATISTICS
DYNAMICS
FORMULA
SYSTEMS
STATES
Аннотация: We derive an explicit expression for the coupling constants of individual eigenstates of a closed billiard that is opened by attaching a waveguide. The Wigner time delay and the resonance positions resulting from the coupling constants are compared to an exact numerical calculation. Deviations can be attributed to evanescent modes in the waveguide and to the finite number of eigenstates taken into account. The influence of the shape of the billiard and of the boundary conditions at the mouth of the waveguide are also discussed. Finally we show that the mean value of the dimensionless coupling constants tends to the critical value when the eigenstates of the billiard follow random-matrix theory.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mankov Yu. I.
Заглавие : Electromagnetic waves in a randomly inhomogeneous Josephson junction
Место публикации : Tech. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2011. - Vol. 56, Is. 8. - P1147-1157. - ISSN 1063-7842, DOI 10.1134/S1063784211080172
Примечания : Cited References: 23
Предметные рубрики: DYNAMICS
Аннотация: Spectrum modification and damping of Josephson plasma waves induced by random inhomogeneities of the critical current through the superconductor contact and the averaged Green function of such excitations are analyzed. In the self-consistent approximation that makes it possible to take into account multiple wave scattering on the inhomogeneities, the frequency and damping of averaged waves, as well as position nu (m) and peak width Delta nu of the Fourier transform imaginary part of the averaged Green function, are determined as functions of wavevector k. The evolution of such functions with the variation of the correlation radius and the relative r.m.s. fluctuations of inhomogeneities is studied. The inhomogeneity-induced wave frequency decrease observed in the long wavelength spectral region qualitatively agrees with the nu (m) behavior. It is established that in the case of "long-range" inhomogeneities, the linear dependence of damping on k changes to the inversely proportional one, and damping tends to zero as k - 0, while Delta nu at small k attains its maximal values due to nonuniform broadening. In the presence of "short-range" inhomogeneities, the wave damping and Delta nu are found to be similar functions of k. The results are compared to the numerical calculation data.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Liu, Yan Rong, Wu, Yong, Wang, Jian Guo, Vendrell, Oriol, Kimberg V., Zhang, Song Bin
Заглавие : Electron-rotation coupling in diatomics under strong-field excitation
Место публикации : Phys. Rev. A. - 2020. - Vol. 102, Is. 3. - Ст.033114. - ISSN 2469-9926, DOI 10.1103/PhysRevA.102.033114. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 78. - S.B.Z. thanks H. D. Meyer for his helpful instructions of Wigner-DVR in MCTDH. Grants from the National Basic Research Program of China (2017YFA0403200), NSFC (No. 11604197, No. 11974230, and No. 11934004), the Science Challenge Program of China (TZ2018005 and TZ2016005) are acknowledged. V.K. acknowledges financial support from Swedish Research Council (VR) and the Ministry of Science and High Education of Russian Federation, Project No. FSRZ2020-0008.
Предметные рубрики: REAL-TIME OBSERVATION
DYNAMICS
LASER
ULTRAFAST
MOLECULES
Аннотация: he photoexcitation and photodissociation of diatomic molecules by intense pulse lasers has been the subject of extensive investigations over the past decades. However, the usually employed theoretical framework neglects the coupling between the molecular rotational angular momentum (R) and the angular momentum of the electrons projected onto the molecular axis Ω=Λ+Σ, which results in the known Λ-doubling phenomenon in high-resolution electronic spectra of diatomic molecules. While neglecting this coupling is an excellent approximation in the weak-field or perturbative regime owing to the large mass difference between the rotating atoms and the electrons, the approximation breaks down for intense laser pulses because of the repeated Rabi cycling of the electronic transitions, which can have a significant effect on the rotational degrees of freedom of the molecule. By correcting the transition dipole matrix elements and introducing angular basis sets based on Wigner D functions, the conventional theoretical treatment is generalized to a universal description valid for both the weak- and strong-field regimes. The theoretical treatment developed here is applied to the ∣1Σ› to ∣1Π› transitions in diatomic systems. Our results reveal that, for field intensities resulting in about one Rabi cycling for extreme ultraviolet or x-ray transitions, the theoretical predictions by the conventional theoretical frame need to be corrected when considering observables such as the molecular alignment and the angular distribution of the photofragments.
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