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    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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Kohn-Luttinger effect and anomalous pairing in repulsive Fermi-systems at low density : Review Article / M. Y. Kagan [et al.] // Low Temp. Phys. - 2012. - Vol. 38, Is. 9. - P. 874-879, DOI 10.1063/1.4752091. - Cited References: 59. - We acknowledge helpful discussions with A. V. Chubukov, A. S. Alexandrov, V. V. Kabanov, K. I. Kugel, Yu. V. Kopaev, N. M. Plakida, and N. V. Prokof'ev. M. Yu. K's work was supported by RFBR Grant No 11-02-00741-a. . - ISSN 1063-777X

РУБ Physics, Applied
Рубрики:
T-J MODEL
   SUPERFLUID TRANSITION-TEMPERATURE
   2-BAND HUBBARD-MODEL
   LOW ELECTRON-DENSITY
   FRACTIONAL-STATISTICS
   PHASE-SEPARATION
   SUPERCONDUCTIVITY
   GAS
   ENHANCEMENT
   MECHANISM
Кл.слова (ненормированные):
d-wave superconductivity -- electron density -- electron spin polarisation -- high-temperature superconductors -- Hubbard model -- superconducting transition temperature -- t-J model -- two-dimensional electron gas
Аннотация: We demonstrate the possibility of triplet p-wave pairing at low electron density a large number of models such as 3D and 2D Fermi-gas models with hard-core repulsion, 3D and 2D Hubbard models, and the Shubin-Vonsovsky model. The critical temperature for p-wave pairing can be considerably higher in the spin-polarized case or even in a two-band situation at low density and can reach experimentally observable values of 1–5 K. We also discuss briefly the d-wave pairing and high-Tc superconductivity with Tc ∼ 100 K which arise in the extended Hubbard model and in the generalized t-Jmodel when close to half-filling.

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Публикация "на русском языке" Kohn-Luttinger effect and anomalous pairing in repulsive Fermi-systems at low density [Текст] : Review Article / M. Yu. Kagan [et al.] // Физ. низких температур : Физико-технический институт низких температур им. Б.И. Веркина НАН Украины, 2012. - Т. 38 Вып. 9.- С.1102-1108

Держатели документа:
[Kagan, M. Yu.] Kapitza Inst Phys Problems, Moscow 19334, Russia
[Efremov, D. V.] Max Planck Inst Festkorperforsch, D-70569 Stuttgart, Germany
[Mar'enko, M. S.] Hofstra Univ, Dept Phys & Astron, Hempstead, NY 11549 USA
[Val'kov, V. V.] Kirenskii Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Kagan, M. Y.; Каган, Максим Юрьевич; Efremov, D. V.; Mar'enko, M. S.; Val'kov, V. V.; Вальков, Валерий Владимирович
}
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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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Maksimov, D. N.
Gaussian random waves in elastic media / D. N. Maksimov, A. F. Sadreev // JETP Letters. - 2007. - Vol. 86, Is. 9. - P. 584-588, DOI 10.1134/S0021364007210060. - Cited References: 22 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
STATISTICAL PROPERTIES
SPECTRAL STATISTICS
CHAOS
Аннотация: Similar to the Berry conjecture of quantum chaos, an elastic analogue which incorporates longitudinal and transverse elastic displacements with corresponding wave vectors is considered. The correlation functions are derived for the amplitudes and intensities of elastic displacements. A comparison to the numerics in a quarter-Bunimovich stadium demonstrates excellent agreement.

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Держатели документа:
[Maksimov, D. N.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Sadreev, A. F.] Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, SE-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
}
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Bulgakov, E. N.
Electric circuit networks equivalent to chaotic quantum billiards / E. N. Bulgakov, D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2005. - Vol. 71, Is. 4. - Ст. 46205, DOI 10.1103/PhysRevE.71.046205. - Cited References: 31 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
TIME-REVERSAL SYMMETRY
   CONDUCTANCE FLUCTUATIONS
   STATISTICS
   SYSTEMS
   EIGENFUNCTIONS
   DOTS
Кл.слова (ненормированные):
Chaotic quantum billiards -- Electric resonance circuits (ERC) -- Resonance networks -- Wave functions -- Boundary conditions -- Capacitors -- Chaos theory -- Eigenvalues and eigenfunctions -- Electric inductors -- Natural frequencies -- Quantum theory -- Resonance -- Statistical mechanics -- Networks (circuits)
Аннотация: We consider two electric RLC resonance networks that are equivalent to quantum billiards. In a network of inductors grounded by capacitors, the eigenvalues of the quantum billiard correspond to the squared resonant frequencies. In a network of capacitors grounded by inductors, the eigenvalues of the billiard are given by the inverse of the squared resonant frequencies. In both cases, the local voltages play the role of the wave function of the quantum billiard. However, unlike for quantum billiards, there is a heat power because of the resistance of the inductors. In the equivalent chaotic billiards, we derive a distribution of the heat power which describes well the numerical statistics.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Astafev Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Dept. of Physics and Measurement, Technology Linkoping University, 5-557 83 Linkoping, Sweden
Astaf'Ev Pedagogical University, 89, Krasnoyarsk, 660049 Lebedeva, Russian Federation

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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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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Sadreev, A. F.
Current statistics for wave transmission through an open Sinai billiard: Effects of net currents / A. F. Sadreev, K. F. Berggren // Phys. Rev. E. - 2004. - Vol. 70, Is. 2. - Ст. 26201, DOI 10.1103/PhysRevE.70.026201. - Cited References: 27 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
EIGENVECTOR STATISTICS
   OPEN SYSTEMS
   EIGENFUNCTIONS
   CHAOS
   FLUCTUATIONS
   CROSSOVER
   ELECTRONS
   INTENSITY
Кл.слова (ненормированные):
Acoustic wave transmission -- Boundary conditions -- Computer simulation -- Continuum mechanics -- Current density -- Fermi level -- Mathematical transformations -- Microwaves -- Probability density function -- Quantum theory -- Random processes -- Reverberation -- Statistical methods -- Surface waves -- Waveguides -- Microwave cavities -- Poynting vector -- Sinai billiard -- Wave functions -- Cavity resonators
Аннотация: Transport through quantum and microwave cavities is studied by analytic and numerical techniques. In particular, we consider the statistics for a finite net probability current (Poynting vector) flowing through an open ballistic Sinai billiard to which two opposite leads/wave guides are attached. We show that if the net probability current is small, the scattering wave function inside the billiard is well approximated by a Gaussian random complex field. In this case, the current statistics are universal and obey simple analytic forms. For larger net currents, these forms still apply over several orders of magnitudes. However, small characteristic deviations appear in the tail regions. Although the focus is on electron and microwave billiards, the analysis is relevant also to other classical wave cavities as, for example, open planar acoustic reverberation rooms, elastic membranes, and water surface waves in irregularly shaped vessels.

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

Доп.точки доступа:
Berggren, K. F.; Садреев, Алмаз Фаттахович
}
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Sadreev, A. F.
Current statistics for transport through rectangular and circular billiards / A. F. Sadreev // Phys. Rev. E. - 2004. - Vol. 70, Is. 1. - Ст. 16208, DOI 10.1103/PhysRevE.70.016208. - Cited References: 21 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
ELECTRON-TRANSPORT
   QUANTUM CHAOS
   NODAL POINTS
   RANDOM WAVES
   STREAMLINES
Кл.слова (ненормированные):
Bessel functions -- Current density -- Eigenvalues and eigenfunctions -- Electric potential -- Mathematical models -- Microwaves -- Parameter estimation -- Poisson distribution -- Probability -- Scattering -- Gaussian distribution -- Microwave transmission -- Resonant transmission -- Scattering functions -- Quantum theory
Аннотация: We consider the statistics of currents for electron (microwave) transmission through rectangular and circular billiards. For the resonant transmission the current distribution is describing by the universal distribution [ A. I. Saichev , J. Phys. A 35, L87 (2002) ]. For the more typical case of nonresonant transmission the current statistics reveals features of the current channeling (corridor effect) interior of the billiard. The numerical statistics is compared with analytical distributions.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Astafev Krasnoyarsk Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Physics, Linkoping University, S-581 83 Linkoping, Sweden
Astaf'ev Krasnoyarsk Pedagogical U., Krasnoyarsk 660049, Russian Federation

Доп.точки доступа:
Садреев, Алмаз Фаттахович
}
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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.

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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11.

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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12.

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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13.

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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14.

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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15.

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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16.

Gluck, M.
A quantum cable car for Wannier-Stark ladders / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Lett. A. - 2000. - Vol. 276, Is. 1-4. - P. 167-174, DOI 10.1016/S0375-9601(00)00656-3. - Cited References: 13 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMIC LOCALIZATION
   BLOCH PARTICLE
   AC FIELDS
   DC
   STATES
   STATISTICS
   LIFETIME
Кл.слова (ненормированные):
Wannier-Stark ladder -- induced transitions -- Induced transitions -- Wannier-Stark ladder -- article -- energy -- oscillation -- quantum mechanics -- time -- transport kinetics
Аннотация: This Letter studies the dynamics of transitions between the levels of a Wannier-Stark ladder induced by a resonant periodic driving. The analysis of the problem is done in terms of resonance quasienergy states, which take into account the metastable character of the Wannier-Stark states. It is shown that the periodic driving creates from a localized Wannier-Stark state an extended Bloch-like state with a spatial length varying in time as similar to t(1/2). Such a state can find applications in the field of atomic optics because it generates a coherent pulsed atomic beam. (C) 2000 Elsevier Science B.V. All rights reserved.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich 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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17.

Gluck, M.
Fractal stabilization of Wannier-Stark resonances / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P. 255-260, DOI 10.1209/epl/i2000-00345-2. - Cited References: 17 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   FIELDS
   STATISTICS
   QUANTUM
   SYSTEMS
   AC
   DC
   ELECTRONS
Аннотация: The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as a function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum-optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.

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

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
}
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18.

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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19.

Gluck, M.
Lifetime statistics for a Bloch particle in ac and dc fields / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rev. E. - 1999. - Vol. 60, Is. 1. - P. 247-258, DOI 10.1103/PhysRevE.60.247. - Cited References: 27 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DYNAMIC LOCALIZATION
   QUANTUM
   TRANSITION
   SCATTERING
   MATRICES
   SYSTEMS
   LADDER
   STATES
   ATOMS
   LIGHT
Аннотация: We study the statistics of the Wigner delay time and resonance width for a Bloch particle in ac and de fields in the regime of quantum chaos. It is shown that after appropriate rescaling the distributions of these quantities have a universal character predicted by the random matrix theory of chaotic scattering. [s1063-651X(99)09907-9].

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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:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
}
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20.

Gluck, M.
Bloch particle in the presence of dc and ac fields: Statistics of the Wigner delay time / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rev. Lett. - 1999. - Vol. 82, Is. 7. - P. 1534-1537, DOI 10.1103/PhysRevLett.82.1534. - Cited References: 9 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:

Аннотация: The paper studies quantum states of a Bloch particle in the presence of external ac and de fields. Provided the period of the ac field and the Bloch period are commensurate, an effective scattering matrix is introduced, the complex poles of which are the system quasienergy spectrum. The statistics of the resonance width and the Wigner delay time shows a close relation of the problem to random matrix theory of chaotic scattering.[S0031 -9007(99)08408-2].

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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:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
}
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