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    Максимов, Дмитрий Николаевич.
    Проявления волнового хаоса в микроволновых упругих и LCR-биллиардах [Рукопись] : дис. на соиск. уч. степени канд. физ.-мат. наук : 01.04.07 / Д. Н. Максимов ; науч. рук. А. Ф. Садреев ; Рос. акад. наук, Сиб. отд-ние, Ин-т физики им. Л.В. Киренского. - Красноярск, 2008. - 87 с. - Библиогр.: 92 назв. -

ГРНТИ

29.19.03

29.05.15

ББК В314я031

Держатели документа:
Библиотека Института физики им. Л. В. Киренского СО РАН
Доп.точки доступа:
Садреев, Алмаз Фаттахович \науч. рук.\; Sadreev A.F.; Maksimov D. N.; Российская академия наук; Сибирское отделение РАН; Институт физики им. Л.В. Киренского Сибирского отделения РАН
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Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: II. Electric breakdown / D. N. Maksimov [et al.] // J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст. 145302. - P. , DOI 10.1088/0953-4075/46/14/145302. - Cited References: 16. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project no. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices and the RFBR project no. 12-02-00094 Tunneling of the macroscopic quantum states. DVM also acknowledges the support of RFBR through grants no. 12-02-90807 and no. 12-02-31416. . - ISSN 0953-4075

РУБ Optics + Physics, Atomic, Molecular & Chemical

Аннотация: We analyse dynamics of a quantum particle in a square lattice in the Hall configuration beyond the single-band approximation. For vanishing gauge (magnetic) field this dynamics is defined by the inter-band Landau-Zener tunnelling, which is responsible for the phenomenon known as the electric breakdown. We show that in the presence of a gauge field this phenomenon is absent, at least, in its common sense. Instead, the Landau-Zener tunnelling leads to the appearance of a finite current which flows in the direction orthogonal to the vector of a potential (electric) field.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia
Ilichev Pacific Oceanol Inst, Vladivostok 690041, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Makarov, D. V.; Kolovsky, A. R.; Коловский, Андрей Радиевич
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Landau-zener tunneling in 2d periodic structures in the presense of a gauge field / D. N. Maksimov [и др.] // V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism : abstracts. - Vladivostok : FEFU, 2013 = EASTMag-2013. - P71 . - ISBN 978-5-7444-3124-2

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Чесноков, Илья Юрьевич; Makarov, D. V.; Макаров Д.В.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism(5 ; 2013 ; Sept. ; 15-21 ; Vladivostok)
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    Maksimov, D. N.
    Symmetry breaking in binary chains with nonlinear sites / D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2013. - Vol. 88, Is. 3. - Ст. 032901. - P. , DOI 10.1103/PhysRevE.88.032901 . - ISSN 1539-3755
   Перевод заглавия: Нарушение симметрии в бинарных цепочках с нелинейными узлами
Аннотация: We consider a system of two or four nonlinear sites coupled with binary chain waveguides. When a monochromatic wave is injected into the first (symmetric) propagation channel, the presence of cubic nonlinearity can lead to symmetry breaking, giving rise to emission of antisymmetric wave into the second (antisymmetric) propagation channel of the waveguides. We found that in the case of nonlinear plaquette, there is a domain in the parameter space where neither symmetry-preserving nor symmetry-breaking stable stationary solutions exit. As a result, injection of a monochromatic symmetric wave gives rise to emission of nonsymmetric satellite waves with energies differing from the energy of the incident wave. Thus, the response exhibits nonmonochromatic behavior. В© 2013 American Physical Society.

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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Spectrum of localized states in graphene quantum dots and wires / V. V. Zalipaev [et al.] // Phys. Lett. A. - 2013. - Vol. 377, Is. 3-4. - P. 216-221, DOI 10.1016/j.physleta.2012.11.028 . - ISSN 0375-9601
Кл.слова (ненормированные):
Generalized Bohr-Sommerfeld quantization condition -- Graphene -- High-energy eigenstates -- Semiclassical approximation -- Tunneling
Аннотация: We developed semiclassical method and show that any smooth potential in graphene describing elongated a quantum dot or wire may behave as a barrier or as a trapping well or as a double barrier potential, Fabry-Perot structure, for 1D Schrodinger equation. The energy spectrum of quantum wires has been found and compared with numerical simulations. We found that there are two types of localized states, stable and metastable, having finite life time. These life times are calculated, as is the form of the localized wave functions which are exponentially decaying away from the wire in the perpendicular direction. В© 2012 Elsevier B.V. All rights reserved.

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Держатели документа:
Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Loughborough, Dept Phys, Loughborough LE11 3TU, Leics, England

Доп.точки доступа:
Zalipaev, V. V.; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Linton, C. M.; Kusmartsev, F. V.
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    Maksimov, D. N.
    Escape dynamics of a Bose-Hubbard dimer out of a trap / D. N. Maksimov, A. R. Kolovsky // Phys. Rev. A. - 2014. - Vol. 89, Is. 6. - Ст. 063612, DOI 10.1103/PhysRevA.89.063612. - Cited References: 53. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project No. 29 Dynamics of Atomic Bose-Einstein Condensates in Optical Lattices. . - ISSN 1050-2947. - ISSN 1094-1622
   Перевод заглавия: Динамика туннелирования димера Бозе-Хаббарда из потенциальной ямы

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
ULTRACOLD GASES
   OPTICAL LATTICE
   QUANTUM
   DECAY
Аннотация: We consider a potential scattering of a Bose-Hubbard dimer in a one-dimensional optical lattice. A numerical approach based on an effective non-Hermitian Hamiltonian has been developed for solving the scattering problem. It allows us to compute the tunneling and dissociation probabilities for an arbitrary shape of the potential barrier and an arbitrary kinetic energy of the dimer. The developed approach has been used to address the problem of two-particle decay out of a trap. In particular, it is shown that the presence of dissociation channels significantly decreases the nonescape probability due to single-particle escape to those channels.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Academy of Sciences [29]
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    Symmetry breaking in open quantum nonlinear systems / A. F. Sadreev [et al.] // Nonlinear phenomena in complex systems: from nano to macro scale : Springer, 2015. - P. 235-252. - (NATO science for peace and security series C: Environmental security)DOI 10.1007/978-94-017-8704-8_17 . - ISBN 978-94-017-8704-8. - ISBN 978-94-017-8703-1
   Перевод заглавия: Нарушение симметрии в открытых квантовых нелинейных системах
Аннотация: We consider symmetry breaking in the simplest open quantum nonlinear systems such as dimer and plaquette of four nonlinear sites coupled with linear tight-binding wires. If the solution is stationary, the total Hilbert space can be projected into the inner states of the dimer or plaquette by the Feshbach procedure. That derives a nonlinear analogue of the Lippmann-Schwinger equation with injected wave as a source. By neglecting radiation shifts the Lippmann-Scwinger equation limits to the coupled mode theory equations widely used in optics. We show three scenarios for the transmission through the nonlinear quantum systems. The first one inherits the linear case and preserves the symmetry. In the second scenario the symmetry is broken because of different intensities at the dimer sites. In the third scenario the intensities at the sites are equaled but phases of complex wave function are different. That results in a vortical power flow between the nonlinear sites similar to the DC Josephson current. We show how the phenomenon of symmetry breaking can used for switching of outputs symmetrically coupled to the quantum dimer . Also we reveal a domain in the parameter space where none of stationary solutions exist. As a result injection of a monochromatic symmetric wave gives rise to emission of nonsymmetric satellite waves with energies different from the energy of the incident wave. Thus, the response exhibits non monochromatic behavior.

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Держатели документа:
Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич
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    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. II. Two-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053632, DOI 10.1103/PhysRevA.91.053632. - Cited References:22. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Состояния Ванье-Штарка в альтернантных решётках. 2. Двумерные решётки

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH OSCILLATIONS
PARTICLE
LADDERS
Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in tilted two-dimensional lattices with the Bloch spectrum consisting of two subbands, which could be either separated by a finite gap or connected by the Dirac points. For rational orientations of the static field given by an arbitrary superposition of the translation vectors, the spectrum is a ladder of energy bands. We obtain asymptotic expressions for the energy bands in the limit of large and weak static fields and study them numerically for intermediate field strength. We show that the structure of energy bands determines the rate of spreading of localized wave packets, which is the quantity measured in laboratory experiments. It is shown that wave-packet dispersion becomes a fractal function of the field orientation in the long-time regime of ballistic spreading.

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LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Foundation for Basic Research [15-02-00463]
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    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053631, DOI 10.1103/PhysRevA.91.053631. - Cited References:24. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Состояния Ванье-Штарка в альтернантных решётках. 1. Одномерные решётки

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH-ZENER OSCILLATIONS
   TIGHTLY BOUND ELECTRONS
   BANDS
   FIELD
Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in generic one-dimensional double-periodic lattices. In the limit of a weak static field, the spectrum is shown to be a superposition of two Wannier-Stark ladders originating from two Bloch subbands. As the strength of the field is increased, the spectrum rearranges itself into a single Wannier-Stark ladder. We derive analytical expressions that describe the rearrangement employing the analogy between the Wannier-Stark problem and a driven two-level system in the strong-coupling regime.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Foundation for Basic Research [15-02-00463]
}
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10.

    Coupled mode theory for acoustic resonators / D. N. Maksimov [et al.] // Wave Motion. - 2015. - Vol. 56. - P. 52-66, DOI 10.1016/j.wavemoti.2015.02.003. - Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation. . - ISSN 0165. - ISSN 1878-433X
   Перевод заглавия: Теория связанных мод для акустических резонаторов
Рубрики:
WAVE-GUIDES
   TRAPPED MODES
   DISCONTINUITIES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Coupled mode theory -- Non-Hermitian Hamiltonian -- Acoustic resonator -- s-matrix
Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator–waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator–waveguide problems are considered.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660080, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Lyapina, A. A.; Ляпина, Алина Андреевна; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Russian Science Foundation [14-12-00266]
}
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