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    Kolovsky, A. R.
    Bose-Hubbard Hamiltonian: Quantum chaos approach / A. R. Kolovsky // Int. J. Mod. Phys. B. - 2016. - Vol. 30, Is. 10. - Ст. 1630009, DOI 10.1142/S0217979216300097. - Cited References:42 . - ISSN 0217-9792. - ISSN 1793-6578
   Перевод заглавия: Гамильтониан Бозе-Хаббарда: подход с точки зрения квантового хаоса

РУБ Physics, Applied + Physics, Condensed Matter + Physics, Mathematical
Рубрики:
Optical lattice
   Dynamics
   Atoms
   States
   Model
Кл.слова (ненормированные):
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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Доп.точки доступа:
Коловский, Андрей Радиевич
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Sadreev, A. F.
Bound states in the continuum in open quantum billiards with a variable shape / A. F. Sadreev, E. N. Bulgakov, I. . Rotter // Phys. Rev. B. - 2006. - Vol. 73, Is. 23. - Ст. 235342, DOI 10.1103/PhysRevB.73.235342. - Cited References: 24 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Rotter, I.; Садреев, Алмаз Фаттахович
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Calculation of the energy of binding of titanium and scandium complexes to the surface of carbon nanotubes / A. A. Kuzubov [et al.] // Russ. J. Phys. Chem. B. - 2009. - Vol. 3, Is. 4. - P. 679-683, DOI 10.1134/S1990793109040289. - 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. . - ISSN 1990-7931

РУБ Physics, Atomic, Molecular & Chemical
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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Держатели документа:
Institute of Natural and Humanitarian Sciences, Siberian Federal University, Krasnoyarsk 660041, Russian Federation
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian State Technological University, Krasnoyarsk 660049, Russian Federation

Доп.точки доступа:
Kuzubov, A. A.; Кузубов, Александр Александрович; Krasnov, P. O.; Краснов, Павел Олегович; Kozhevnikov, T. A.; Popov, M. A.; Analytical departmental program "Development of Higher Education Potential" [2.1.1/2584]; Russian Foundation for Basic Research [09-02-00324-a]
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Conductance of open quantum billiards and classical trajectories / R. G. Nazmitdinov [et al.] // Phys. Rev. B. - 2002. - Vol. 66, Is. 8. - Ст. 85322, DOI 10.1103/PhysRevB.66.085322. - Cited References: 46 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Joint Inst Nucl Res, Dubna 141980, Russia
Acad Sci Czech Republ, Inst Phys, Prague 16253, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Hradec Kralove, Dept Phys, Hradec Kralove 50003, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Nazmitdinov, R. G.; Pichugin, K. N.; Пичугин, Константин Николаевич; Rotter, I.; Seba, P.
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    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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Kolovsky, A. R.
Driven Harper model / A. R. Kolovsky, G. . Mantica // Phys. Rev. B. - 2012. - Vol. 86, Is. 5. - Ст. 54306, DOI 10.1103/PhysRevB.86.054306. - 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." . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Mantica, Giorgio] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy
[Mantica, Giorgio] CNISM Unita Como, I-22100 Como, Italy
[Mantica, Giorgio] INFN Sez Milano, Milan, Italy

Доп.точки доступа:
Mantica, G.; Коловский, Андрей Радиевич
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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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Pichugin, K.
Effective coupling for open billiards / K. . Pichugin, H. . Schanz, P. . Seba // Phys. Rev. E. - 2001. - Vol. 64, Is. 5. - Ст. 56227, DOI 10.1103/PhysRevE.64.056227. - Cited References: 30 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
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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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
Univ Gottingen, Inst Nichtlineare Dynam, D-37073 Gottingen, Germany
Max Planck Inst Stromungsforsch, D-37073 Gottingen, Germany
Pedag Univ, Dept Phys, Hradec Kralove, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Schanz, H.; Seba, P.
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Mankov, Yu. I.
Electromagnetic waves in a randomly inhomogeneous Josephson junction / Y. I. Mankov // Tech. Phys. - 2011. - Vol. 56, Is. 8. - P. 1147-1157, DOI 10.1134/S1063784211080172. - Cited References: 23 . - ISSN 1063-7842

РУБ Physics, Applied
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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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Маньков, Юрий Иннокентьевич
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10.

Electron-rotation coupling in diatomics under strong-field excitation / Y. R. Liu, Y. Wu, J. G. Wang [et al.] // Phys. Rev. A. - 2020. - Vol. 102, Is. 3. - Ст. 033114, DOI 10.1103/PhysRevA.102.033114. - 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. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
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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Держатели документа:
Shaanxi Normal Univ, Sch Phys & Informat Technol, Xian 710119, Peoples R China.
Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.
Peking Univ, Ctr Appl Phys & Technol, Beijing 100084, Peoples R China.
Heidelberg Univ, Phys Chem Inst, Theoret Chem, Neuenheimer Feld 229, D-69120 Heidelberg, Germany.
Royal Inst Technol, Theoret Chem & Biol, S-10691 Stockholm, Sweden.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Liu, Yan Rong; Wu, Yong; Wang, Jian Guo; Vendrell, Oriol; Kimberg, V.; Кимберг, Виктор Валерьевич; Zhang, Song Bin
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