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1.


   
    Wannier-Stark states of a quantum particle in 2D lattices / M. . Gluck [et al.] // Phys. Rev. Lett. - 2001. - Vol. 86, Is. 14. - P. 3116-3119, DOI 10.1103/PhysRevLett.86.3116. - Cited References: 18 . - ISSN 0031-9007
РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   AC FIELDS

   LADDERS

   DC

   SUPERLATTICES

   STATISTICS

   ELECTRONS

   LIFETIME

Аннотация: A simple method of calculating the Wannier-Stark resonances in 2D lattices is suggested. Using this method we calculate the complex Wannier-Stark spectrum for a nonseparable 2D potential realized in optical lattices and analyze its general structure. The dependence of the lifetime of Wannier-Stark states on the direction of the static field (relative to the crystallographic axis of the lattice) is briefly discussed.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Gluck, M.; Keck, F.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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2.


    Gluck, M.
    Wannier-Stark resonances in optical and semiconductor superlattices / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rep.-Rev. Sec. Phys. Lett. - 2002. - Vol. 366, Is. 3. - P. 103-182, DOI 10.1016/S0370-1573(02)00142-4. - Cited References: 234 . - ISSN 0370-1573
РУБ Physics, Multidisciplinary
Рубрики:
UNIFORM ELECTRIC-FIELD
   QUANTUM CHAOTIC SCATTERING

   FRANZ-KELDYSH OSCILLATIONS

   METAL-INSULATOR-TRANSITION

   ALTERNATING SITE ENERGIES

   GAAS-ALAS SUPERLATTICES

   RANDOM UNITARY MATRICES

   WAVE-GUIDE ARRAYS

   BLOCH OSCILLATIONS

   PERTURBATION-THEORY

Кл.слова (ненормированные):
Wannier-Stark resonances -- semiconductor superlattices -- optical lattices -- resonance statistics -- quantum chaos -- Optical lattices -- Quantum chaos -- Resonances statistics -- Semiconductor superlattices -- Wannier-Stark resonances
Аннотация: In this work, we discuss the resonance states of a quantum particle in a periodic potential plus a static force. Originally, this problem was formulated for a crystal electron subject to a static electric field and it is nowadays known as the Wannier-Stark problem. We describe a novel approach to the Wannier-Stark problem developed in recent years. This approach allows to compute the complex energy spectrum of a Wannier-Stark system as the poles of a rigorously constructed scattering matrix and solves the Wannier-Stark problem without any approximation. The suggested method is very efficient from the numerical point of view and has proven to be a powerful analytic tool for Wannier-Stark resonances appearing in different physical systems such as optical lattices or semiconductor superlattices. (C) 2002 Elsevier Science B.V. All rights reserved.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich (FB) Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
L.V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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3.


    Alekseev, K. N.
    The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators / K. N. Alekseev, J. . Perina // Phys. Scr. - 2000. - Vol. 61, Is. 1. - P. 7-16, DOI 10.1238/Physica.Regular.061a00007. - Cited References: 38 . - ISSN 0281-1847
РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   HARMONIC-GENERATION

   SQUEEZED STATES

   CHAOS

   LIGHT

   MECHANICS

   DYNAMICS

   STATISTICS

   SYSTEMS

   OPTICS

Аннотация: We develop a method for the determination of the dynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [Opt. Commun. 54, 189 (1985)] and the quantum-classical correspondence. Using this method, we End analytically the dynamics of nonclassical states generation in the higher-order anharmonic dissipative oscillators for an arbitrary temperature of a reservoir. We show that the quantum correction to the classical motion increases with time quadratically up to some maximal value, which is dependent on the degree of nonlinearity and a damping constant, and then it decreases. Similarities and differences with the corresponding behavior of the quantum corrections to the classical motion in the Hamiltonian chaotic systems are discussed. We also compare our results obtained for some limiting cases with the results obtained by using other semiclassical tools and discuss the conditions for validity of our approach.

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Держатели документа:
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
Acad Sci Czech Republ, Dept Opt, Olomouc, Czech Republic
Acad Sci Czech Republ, Joint Lab Opt, Olomouc 77207, Czech Republic
Russian Acad Sci, Theory Nonlinear Proc Lab, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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4.


   
    Superconductivity in repulsive fermi-systems at low density / M. Y. Kagan [et al.] // J. Supercond. Nov. Magn. - 2013. - Vol. 26, Is. 9. - P. 2809-2815, DOI 10.1007/s10948-013-2262-9. - Cited References: 57. - The authors acknowledge helpful discussions with A. V. Chubukov, A. S. Alexandrov, V. V. Kabanov, K. I. Kugel, Yu. V. Kopaev, N.M. Plakida, N.V. Prokof'ev, M. M. Korovushkin, M. A. Mitskan. M. Yu. K. work was supported by RFBR grant No. 11-02-00741. . - ISSN 1557-1939
   Перевод заглавия: Сверхпроводимость в Ферми-системах с отталкиванием при малых концентрациях
РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
T-J MODEL
   SUPERFLUID TRANSITION-TEMPERATURE

   FRACTIONAL-STATISTICS

   PHASE-SEPARATION

   HUBBARD-MODEL

   GAS

   ENHANCEMENT

   MECHANISM

   EXCHANGE

   PARTICLES

Кл.слова (ненормированные):
Anomalous superconductivity -- p-wave and d-wave pairings -- Kohn-Luttinger mechanism -- Shubin-Vonsovsky -- Hubbard and t-J models
Аннотация: In the large variety of models such as 3D and 2D Fermi-gas model with hard-core repulsion, 3D and 2D Hubbard model, and the Shubin-Vonsovsky model, we demonstrate the possibility of triplet p-wave pairing at low electron density. We show that the critical temperature of the p-wave pairing can be strongly increased in a spin-polarized case or in a two-band situation already at low density and reach experimentally feasible values of (1-5) K. We also discuss briefly d-wave pairing and high-T-C superconductivity with T-C similar to 100 K, which arises in the 2D t-J model in the range of parameters realistic for cuprates.

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Держатели документа:
PL Kapitsa Phys Problems Inst, Moscow 119334, Russia
Leibniz Inst Solid State & Mat Res, D-01171 Dresden, Germany
Hofstra Univ, Dept Phys & Astron, Hempstead, NY 11549 USA
Kirenskii Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Kagan, M. Y.; Efremov, D. V.; Mar'enko, M. S.; Val'kov, V. V.; Вальков, Валерий Владимирович; RFBR [11-02-00741]
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5.


    Bulgakov, E. N.
    Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. E. - 2004. - Vol. 70, Is. 5. - Ст. 56211, DOI 10.1103/PhysRevE.70.056211. - Cited References: 33 . - ISSN 1539-3755
РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ-EQUATION
   PERSISTENT CURRENTS

   ELECTRON-GAS

   RINGS

   EIGENFUNCTIONS

   SYSTEMS

   PHASE

Кл.слова (ненормированные):
Approximation theory -- Chaos theory -- Degrees of freedom (mechanics) -- Eigenvalues and eigenfunctions -- Electric field effects -- Electric potential -- Electron gas -- Hamiltonians -- Heterojunctions -- Microwaves -- Statistical methods -- Chaotic Robnik billiards -- Current distributions -- Spin-orbit interaction (SOI) -- Wave functions -- Quantum theory
Аннотация: We show that the wave function and current statistics in chaotic Robnik billiards crucially depend on the constant of the spin-orbit interaction (SOI). For small constant the current statistics is described by universal current distributions derived for slightly opened chaotic billiards [Saichev et al. J. Phys. A. 35, L87 (2002)] although one of the components of the spinor eigenfunctions is not universal. For strong SOI both components of the spinor eigenstate are complex random Gaussian fields. This observation allows us to derive the distributions of spin-orbit persistent cut-rents which well describe numerical statistics. For intermediate values of the statistics of the eigenstates and currents, both are deeply nonuniversal.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Astafev Krasnoyarsk Pedag Univ, Lebedeva 660049 89, Russia
Linkoping Univ, IFM, S-58183 Linkoping, Sweden
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Astaf'ev Krasnoyarsk Pedagogical U., 660049, Lebedeva, 89, Russian Federation
IFM, Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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6.


    Maksimov, D. N.
    Statistics of nodal points of in-plane random waves in elastic media / D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2008. - Vol. 77, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.77.056204. - Cited References: 39 . - ISSN 1539-3755
РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   SPECTRAL STATISTICS

   FIELDS

   BILLIARDS

   PATTERNS

Кл.слова (ненормированные):
Chaotic systems -- Correlation methods -- Navier Stokes equations -- Random processes -- Statistics -- Elastic media -- In-plane random waves -- Navier-Cauchy equations -- Nodal points (NP) -- Electromagnetic waves
Аннотация: We consider the nodal points (NPs) u=0 and v=0 of the in-plane vectorial displacements u=(u,v) which obey the Navier-Cauchy equation. Similar to the Berry conjecture of quantum chaos, we present the in-plane eigenstates of chaotic billiards as the real part of the superposition of longitudinal and transverse plane waves with random phases. By an average over random phases we derive the mean density and correlation function of NPs. Consequently we consider the distribution of the nearest distances between NPs.

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Держатели документа:
[Maksimov, Dmitrii N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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7.


    Bulgakov, E. N.
    Statistics of eigenfunctions of chaotic billiards taking account of the Rashba spin-orbit interaction / E. N. Bulgakov, A. F. Sadreev // JETP Letters. - 2003. - Vol. 78, Is. 7. - P. 443-446, DOI 10.1134/1.1633314. - Cited References: 17 . - ISSN 0021-3640
РУБ Physics, Multidisciplinary
Рубрики:
QUANTUM-WELLS
Аннотация: It is demonstrated, both analytically and numerically, that eigenfunction statistics in chaotic billiards with spin-orbit interaction fundamentally depend on the ratio of the squared spin-orbit interaction constant. If this ratio is small, one of the eigenstate components is a random Gaussian field, whereas another is not universal and depends on the billiard type. In the opposite case, the statistics of both components is described by the independent random complex Gaussian fields with the same variances. In the intermediate case, both eigenfunction components do not satisfy Gaussian statistics. (C) 2003 MAIK "Nauka / Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk Akademgorodok, 660036, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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8.


    Bulgakov, E. N.
    Rectangular microwave resonators with magnetic anisotropy. Mapping onto pseudointegrable rhombus / E. N. Bulgakov, A. F. Sadreev // Europhys. Lett. - 2002. - Vol. 57, Is. 2. - P. 198-204, DOI 10.1209/epl/i2002-00561-8. - Cited References: 24 . - ISSN 0295-5075
РУБ Physics, Multidisciplinary
Рубрики:
TIME-REVERSAL SYMMETRY
   SPECTRAL STATISTICS

   STADIUM BILLIARD

   EIGENFUNCTIONS

   SYSTEMS

   CHAOS

Аннотация: A rectangular microwave resonator filled with ferrite with uniaxial magnetic anisotropy is considered. It is shown that this task can be reduced to an empty rhombus resonator with the vertex angle defined by an external magnetic field, provided that the magnetic anisotropy of the ferrite is strong. Therefore, the statistics of eigenfrequencies for TM modes is described by the Brody or semi-Poisson distribution with some exceptional cases.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Kirensky Institute of Physics-, 660036, Krasnoyarsk, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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9.


    Kolovsky, A. R.
    Quantum diffusion in a biased kicked Harper system / A. R. Kolovsky, H. J. Korsch // Phys. Rev. E. - 2003. - Vol. 68, Is. 4. - Ст. 46202, DOI 10.1103/PhysRevE.68.046202. - Cited References: 17 . - ISSN 1539-3755
РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
WANNIER-STARK RESONANCES
   SPECTRAL STATISTICS

   CLASSICAL DIFFUSION

   CHAOTIC DIFFUSION

   COORDINATE

   MODEL

Аннотация: Quantum diffusion in a biased kicked Harper system, modeling field-induced transport in superlattices, is studied for fully chaotic dynamics of the underlying classical system. Under these conditions, the classical transport is diffusive whereas the quantum diffusion can be either enhanced or suppressed for commensurable or incommensurable ratio of the Bloch period to the driving period, respectively. The quantum transport properties are related to the statistical properties of the quasienergy spectra as described by random matrix theory.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Tech Univ Kaiserslautern, FB Phys, D-67653 Kaiserslautern, Germany
ИФ СО РАН

Доп.точки доступа:
Korsch, H. J.; Коловский, Андрей Радиевич
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10.


    AVERYANOV, E. M.
    ORIENTATIONAL NEMATIC STATISTICS AND THE CHARACTER OF ITS PHASE-TRANSITION TO ISOTROPIC LIQUID / E. M. AVERYANOV // Fiz. Tverd. Tela. - 1982. - Vol. 24, Is. 1. - P. 265-268. - Cited References: 12 . - ISSN 0367-3294
РУБ Physics, Condensed Matter


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