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1.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Keck F., Kolovsky A. R., Korsch H. J.
Заглавие : Wannier-Stark states of a quantum particle in 2D lattices
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 2001. - Vol. 86, Is. 14. - P3116-3119. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.86.3116
Примечания : Cited References: 18
Предметные 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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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Wannier-Stark resonances in optical and semiconductor superlattices
Место публикации : Phys. Rep.-Rev. Sec. Phys. Lett.: ELSEVIER SCIENCE BV, 2002. - Vol. 366, Is. 3. - P103-182. - ISSN 0370-1573, DOI 10.1016/S0370-1573(02)00142-4
Примечания : Cited References: 234
Предметные 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
Ключевые слова (''Своб.индексиров.''): 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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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Perina J.
Заглавие : The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators
Место публикации : Phys. Scr.: ROYAL SWEDISH ACAD SCIENCES, 2000. - Vol. 61, Is. 1. - P7-16. - ISSN 0281-1847, DOI 10.1238/Physica.Regular.061a00007
Примечания : Cited References: 38
Предметные 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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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kagan M. Y., Efremov D. V., Mar'enko M. S., Val'kov V. V.
Заглавие : Superconductivity in repulsive fermi-systems at low density
Коллективы : RFBR [11-02-00741]
Место публикации : J. Supercond. Nov. Magn.: SPRINGER, 2013. - Vol. 26, Is. 9. - P.2809-2815. - ISSN 1557-1939, DOI 10.1007/s10948-013-2262-9
Примечания : 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.
Предметные рубрики: T-J MODEL
SUPERFLUID TRANSITION-TEMPERATURE
FRACTIONAL-STATISTICS
PHASE-SEPARATION
HUBBARD-MODEL
GAS
ENHANCEMENT
MECHANISM
EXCHANGE
PARTICLES
Ключевые слова (''Своб.индексиров.''): 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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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2004. - Vol. 70, Is. 5. - Ст.56211. - ISSN 1539-3755, DOI 10.1103/PhysRevE.70.056211
Примечания : Cited References: 33
Предметные рубрики: HELMHOLTZ-EQUATION
PERSISTENT CURRENTS
ELECTRON-GAS
RINGS
EIGENFUNCTIONS
SYSTEMS
PHASE
Ключевые слова (''Своб.индексиров.''): 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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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F.
Заглавие : Statistics of nodal points of in-plane random waves in elastic media
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2008. - Vol. 77, Is. 5. - Ст.56204. - ISSN 1539-3755, DOI 10.1103/PhysRevE.77.056204
Примечания : Cited References: 39
Предметные рубрики: PHASE SINGULARITIES
SPECTRAL STATISTICS
FIELDS
BILLIARDS
PATTERNS
Ключевые слова (''Своб.индексиров.''): 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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Statistics of eigenfunctions of chaotic billiards taking account of the Rashba spin-orbit interaction
Место публикации : JETP Letters. - 2003. - Vol. 78, Is. 7. - P.443-446. - ISSN 0021-3640, DOI 10.1134/1.1633314
Примечания : Cited References: 17
Предметные 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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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Rectangular microwave resonators with magnetic anisotropy. Mapping onto pseudointegrable rhombus
Место публикации : Europhys. Lett. - 2002. - Vol. 57, Is. 2. - P.198-204. - ISSN 0295-5075, DOI 10.1209/epl/i2002-00561-8
Примечания : Cited References: 24
Предметные 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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9.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Korsch H. J.
Заглавие : Quantum diffusion in a biased kicked Harper system
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2003. - Vol. 68, Is. 4. - Ст.46202. - ISSN 1539-3755, DOI 10.1103/PhysRevE.68.046202
Примечания : Cited References: 17
Предметные 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : AVERYANOV E. M.
Заглавие : ORIENTATIONAL NEMATIC STATISTICS AND THE CHARACTER OF ITS PHASE-TRANSITION TO ISOTROPIC LIQUID
Место публикации : Fiz. Tverd. Tela: MEZHDUNARODNAYA KNIGA, 1982. - Vol. 24, Is. 1. - P265-268. - ISSN 0367-3294
Примечания : Cited References: 12
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