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1.

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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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SHAPIRO V. E.
Заглавие : NEW METHOD AND EXACT-SOLUTIONS FOR WAVES IN RANDOM-MEDIA
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1992. - Vol. 162, Is. 4. - P309-312. - ISSN 0375-9601, DOI 10.1016/0375-9601(92)90022-E
Примечания : Cited References: 14
Предметные рубрики: RADIATIVE TRANSPORT-THEORY
POWER STATISTICS
ONE-DIMENSION
PROPAGATION
Аннотация: A method based on the kinetic equations for Markov processes is found which is effective within as well as beyond the scope of conventional restrictions - one-dimensional stochastic equations with given initial conditions. For the first time the problem of finding averages for linear systems with nonadditive random influence, typical models of the theory of wave propagation in random media, is solved to obtain exact solutions.
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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Lifetime statistics for a Bloch particle in ac and dc fields
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 1. - P247-258. - ISSN 1063-651X, DOI 10.1103/PhysRevE.60.247
Примечания : Cited References: 27
Предметные 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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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Bloch particle in the presence of dc and ac fields: Statistics of the Wigner delay time
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 1999. - Vol. 82, Is. 7. - P1534-1537. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.82.1534
Примечания : Cited References: 9
Предметные 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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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : A quantum cable car for Wannier-Stark ladders
Место публикации : Phys. Lett. A. - 2000. - Vol. 276, Is. 1-4. - P.167-174. - ISSN 0375-9601, DOI 10.1016/S0375-9601(00)00656-3
Примечания : Cited References: 13
Предметные рубрики: DYNAMIC LOCALIZATION
BLOCH PARTICLE
AC FIELDS
DC
STATES
STATISTICS
LIFETIME
Ключевые слова (''Своб.индексиров.''): 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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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Fractal stabilization of Wannier-Stark resonances
Место публикации : Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P.255-260. - ISSN 0295-5075, DOI 10.1209/epl/i2000-00345-2
Примечания : Cited References: 17
Предметные 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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7.

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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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K., Schanz H., Seba P.
Заглавие : Effective coupling for open billiards
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2001. - Vol. 64, Is. 5. - Ст.56227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.64.056227
Примечания : Cited References: 30
Предметные 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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9.

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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10.

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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