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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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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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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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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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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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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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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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    Kolovsky, A. R.
    Evaporative Cooling and Self-Thermalization in an Open System of Interacting Fermions / A. R. Kolovsky, D. L. Shepelyansky // Ann. Phys.-Berlin. - 2019. - Vol. 531, Is. 12. - Ст. 1900231, DOI 10.1002/andp.201900231. - Cited References: 24. - For D.L.S. this work was supported in part by the Programme Investissements d'Avenir ANR-11-IDEX-0002-02, reference ANR-10-LABX-0037-NEXT (project THETRACOM). For A.R.K. this work was supported in part by Russian Science Foundation through the grant N19-12-00167. . - ISSN 0003-3804. - ISSN 1521-3889
   Перевод заглавия: Испарительное охлаждение и само-термализация в открытой системе взаимодействующих фермионов
Рубрики:
QUANTUM CHAOS
   DISTRIBUTIONS
   STATISTICS
Кл.слова (ненормированные):
open quantum systems -- quantum chaos -- self-thermalization
Аннотация: Depletion dynamics of an open system of weakly interacting fermions with two-body random interactions is studied. In this model, fermions are escaping from the high-energy one-particle orbitals, that mimics the evaporation process used in laboratory experiments with neutral atoms to cool them to ultra-low temperatures. It is shown that due to self-thermalization the system instantaneously adjusts to the new temperature which decreases with the course of time.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Univ Toulouse, UPS, Lab Phys Theor, IRSAMC,CNRS, F-31062 Toulouse, France

Доп.точки доступа:
Shepelyansky, Dima L.; Коловский, Андрей Радиевич; Programme Investissements d'AvenirFrench National Research Agency (ANR) [ANR-11-IDEX-0002-02, ANR-10-LABX-0037-NEXT]; Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
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