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Alekseev, K. N.
Light squeezing at the transition to quantum chaos / K. N. Alekseev, J. . Perina // Phys. Rev. E. - 1998. - Vol. 57, Is. 4. - P. 4023-4034, DOI 10.1103/PhysRevE.57.4023. - Cited References: 62 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HIGHLY-EXCITED ATOMS
   ELECTROMAGNETIC-FIELD
   ANHARMONIC-OSCILLATOR
   MICROWAVE IONIZATION
   MONOCHROMATIC-FIELD
   CLASSICAL MECHANICS
   PERIODIC-ORBITS
   RYDBERG ATOMS
   HYDROGEN-ATOM
   SYSTEMS
Аннотация: We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an example, the model of a kicked Kerr oscillator is considered. We show that at the transition to quantum chaos the maximum possible degree of squeezing increases exponentially in time, in contrast to the regular dynamics, where the degree of squeezing increases only powerwise in time. We demonstrate the one-to-one correspondence of the degree of squeezing and the value of the local Lyapunov instability rate in the corresponding classical chaotic system.

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Держатели документа:
Abo Akad, Dept Phys, SF-20500 Turku, Finland
Russian Acad Sci, LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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Alekseev, K. N.
Squeezed states and quantum chaos / K. N. Alekseev, D. S. Priimak // J. Exp. Theor. Phys. - 1998. - Vol. 86, Is. 1. - P. 61-70, DOI 10.1134/1.558469. - Cited References: 41 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
PERIODICALLY KICKED PENDULUM
   CLASSICAL CORRESPONDENCE
   SYSTEMS
   LIGHT
   FLUCTUATIONS
   OSCILLATOR
   MECHANICS
   MASER
Аннотация: We examine the dynamics of a wave packet that initially corresponds to a coherent state in the model of a quantum rotator excited by a periodic sequence of kicks. This model is the main model of quantum chaos and allows for a transition from regular behavior to chaotic in the classical limit. By doing a numerical experiment we study the generation of squeezed states in quasiclassical conditions and in a time interval when quantum-classical correspondence is well-defined. We find that the degree of squeezing depends on the degree of local instability in the system and increases with the Chirikov classical stochasticity parameter. We also discuss the dependence of the degree of squeezing on the initial width of the packet, the problem of stability and observability of squeezed states in the transition to quantum chaos, and the dynamics of disintegration of wave packets in quantum chaos. (C) 1998 American Institute of Physics.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Priimak, D. S.
}
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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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Aplesnin, S. S.
Anomalies in transport properties in a magnetically ordered region on a Kondo lattice / S. S. Aplesnin // JETP Letters. - 2005. - Vol. 81, Is. 2. - P. 66-71, DOI 10.1134/1.1887917. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
DOUBLE EXCHANGE MODEL
   PHASE-SEPARATION
   MANGANITES
   LA1-XSRXMNO3
   SYSTEMS
   SHIFT
   EDGE
Аннотация: The temperature dependences of resistivity and thermal emf on a Kondo lattice are calculated using the spinpolaron approximation. The peaks and sign reversal points of thermal emf as a function of temperature and concentration below the temperature of the transition to the paramagnetic state are determined. The concentration region containing the metal-insulator transition below the Curie temperature and the shift of the upper spin-polaron band are calculated. (c) 2005 Pleiades Publishing, Inc.

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Публикация на русском языке Аплеснин, Сергей Степанович. Аномалии транспортных свойств в магнитоупорядоченной области на кондо-решетке [Текст] / С. С. Аплеснин // Письма в журн. эксперим. и техн. физ. - 2005. - Т. 81 Вып. 2. - С. 74-79

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

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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Aplesnin, S. S.
Dimerization of antiferromagnetic chain with 4-spin interaction / S. S. Aplesnin // Fiz. Tverd. Tela. - 1996. - Vol. 38, Is. 6. - P. 1868-1877. - Cited References: 30 . - ISSN 0367-3294

РУБ Physics, Condensed Matter
Рубрики:
SPIN-1/2 HEISENBERG-ANTIFERROMAGNET
   COMPETING INTERACTIONS
   MONTE-CARLO
   THERMODYNAMIC PROPERTIES
   SYSTEMS
   CUGEO3
   TEMPERATURE
   NEUTRON
   STATE
   MODEL

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Aplesnin, S. S.
Investigation of the magnetic properties of chains with alternating ferro- and antiferromagnetic exchange interactions in the Heisenberg model with spin S=1/2 / S. S. Aplesnin, G. A. Petrakovskii // Phys. Solid State. - 1999. - Vol. 41, Is. 9. - P. 1511-1512, DOI 10.1134/1.1131042. - Cited References: 11 . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
HALDANE-GAP
SYSTEMS
Аннотация: The quantum Monte Carlo method is used to calculate the susceptibility and pairwise spin-spin correlation functions of chains with alternating ferro (K)- and antiferromagnetic (J)-exchange interactions within the Heisenberg model with spin S=1/2. From the susceptibility, the energy gap between the ground state and excited triplet states is determined for arbitrary ratios K/J. The value of the gap coincides with the Haldane gap for spin S=1 when K/J 1.25. (C) 1999 American Institute of Physics. [S1063-7834(99)02409-0].

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Публикация на русском языке Аплеснин, Сергей Степанович. Исследование магнитных свойств цепочки с чередующимися ферро- и антиферромагнитными обменными взаимодействиями в модели Гейзенберга со спином S=1/2 [Текст] / С. С. Аплеснин, Г. А. Петраковский // Физ. тверд. тела. - Санкт-Петербург, 1999. - Т. 41 Вып. 9. - С. 1650-1651

Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Petrakovskii, G. A.; Петраковский, Герман Антонович; Аплеснин, Сергей Степанович
}
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Aplesnin, S. S.
Modeling a dimer state in CuGeO3 in the two-dimensional anisotropic Heisenberg model with alternated exchange interaction / S. S. Aplesnin // J. Exp. Theor. Phys. - 1997. - Vol. 85, Is. 6. - P. 1196-1203, DOI 10.1134/1.558393. - Cited References: 33 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
SPIN-PEIERLS TRANSITION
   HIGH MAGNETIC-FIELDS
   COMPOUND CUGEO3
   GROUND-STATE
   SYSTEMS
   NEUTRON
Аннотация: The two-dimensional Heisenberg spin-1/2 model with alternated exchange interaction along the c axis and an anisotropic distribution of the exchange interaction in the lattice, J(b)/J(c)=0.1, is examined. A quantum Monte Carlo method is used to calculate the phase diagrams of the antiferromagnet, the dimer state in a plane, the value of the alternation delta of the exchange interaction, and the anisotropy Delta=1-J(xy)/J(z) of the exchange interaction, Delta similar to delta(0.58(6)). The following characteristics are calculated for Delta=0.25: the dependence of the temperature of the dimer-state-paramagnet transition on the alternation of the exchange interaction, T-c(delta)=0.55(4(delta-0.082(6))(0.50(3)), the singlet-triplet energy gap, and the dependence of the magnetization on the external field for some values of delta. The value of the exchange interaction, J(c)=127 K, the alternation of the exchange interaction, delta=0.11J(c), and the correlation radius along the c axis, xi(c) approximate to 28c, are determined. Finally, it is found that the temperature dependence of the susceptibility and the specific heat are in good agreement with the experimental data. (C) 1997 American Institute of Physics. [S1063-7761(97)01912-4].

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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Aplesnin, S. S.
Quantum Monte Carlo analysis of the 2D Heisenberg antiferromagnet with S=1/2: the influence of exchange anisotropy / S. S. Aplesnin // J. Phys.: Condens. Matter. - 1998. - Vol. 10, Is. 44. - P. 10061-10065, DOI 10.1088/0953-8984/10/44/012. - Cited References: 21 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
SQUARE LATTICE
SYSTEMS
MODEL
Аннотация: The two-dimensional (2D) Heisenberg model with exchange anisotropy Delta = 1 - J(x)/J(z) (J 0) and S

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Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
L V Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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Aplesnin, S. S.
Quantum Monte Carlo investigation of the magnetic properties of weakly interacting antiferromagnetic chains with an alternating exchange interaction with spin S=1/2 / S. S. Aplesnin // J. Exp. Theor. Phys. - 2000. - Vol. 90, Is. 1. - P. 194-201, DOI 10.1134/1.559075. - Cited References: 35 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
PEIERLS COMPOUND CUGEO3
   MAGNON DISPERSION
   BI2CUO4
   EXCITATIONS
   RESONANCE
   SYSTEMS
   SCATTERING
   DYNAMICS
   NEUTRON
   PHASE
Аннотация: An approximation dependence of the spontaneous magnetic moment at a site, sigma/sigma(0) - 1 = 0.71(6)delta(2.5(2)), and the antiferromagnet-singlet state phase boundary, J(2)/J(1) = 0.52(3)delta, are determined by the quantum Monte Carlo method in the self-consistent sublattice molecular field approximation for weakly interacting (J(2)) antiferromagnetic chains with spin S = 1/2 and alternating exchange interaction (J(1) +/- delta). The Neel temperature and a number of critical temperatures which could be related with the filling energy of two singlets (Delta S-z = 0) and one triplet (Delta S-z= 1) spin bands, each of which is split by the sublattice field (h(x,y)not equal h(z)) into two subbands, are determined on the basis of the computed correlation radii of the two- and four-spin correlation function, the squared total spin (S-z)(2) with respect to the longitudinal components, the dimerization parameter, and the correlation functions between the nearest neighbors with respect to longitudinal and transverse spin components. On the basis of the Monte Carlo calculations, the critical temperatures and possible energy gaps at the band center are determined for the antiferromagnets CuWO4 and Bi2CuO4 and for the singlet compounds (VO)(2)P2O7 and CuGeO3 , agreeing satisfactorily with existing results, and new effects are also predicted. (C) 2000 MAIK "Nauka / Interperiodica".

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Держатели документа:
Russian Acad Sci, Siberian Div, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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10.

Aplesnin, S. S.
Quantum spin liquid in the 2D anisotropic Heisenberg model with frustrated next nearest neighbor exchange / S. S. Aplesnin // Low Temp. Phys. - 1998. - Vol. 24, Is. 8. - P. 572-577 ; Физика низких температур, DOI 10.1063/1.593639. - Cited References: 25 . - ISSN 1063-777X

РУБ Physics, Applied
Рубрики:
SQUARE-LATTICE ANTIFERROMAGNETS
   VALENCE BOND STATES
   SYSTEMS
   SUPERCONDUCTIVITY
   SYMMETRY
Аннотация: The two-dimensional (2D) Heisenberg model with anisotropic exchange (Delta = 1 - J(x)/J(z)) and with negative next nearest neighbor exchange (J(2)) with S = 1/2 is investigated by using the quantum-mechanical Monte-Carlo method. The energy, magnetic moment at a site, heat capacity, and spin-spin correlation functions are calculated. The stability regions for Neel ordering of spins as well as the strip-phase and gapless quantum spin liquid are determined in the interval Delta/2 less than or equal to J(2)/ J(1)less than or equal to 1/(2 Delta). (C) 1998 American Institute of Physics. [S1063-777X(98)00808-1].

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Держатели документа:
Russian Acad Sci, LV Kirenskii Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Аплеснин, Сергей Степанович

}
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11.

Aplesnin, S. S.
Static and dynamic magnetic properties of coupled spin-1/2 antiferromagnetic chains / S. S. Aplesnin // J. Phys.: Condens. Matter. - 2000. - Vol. 12, Is. 37. - P. 8191-8207, DOI 10.1088/0953-8984/12/37/316. - Cited References: 21 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
ONE-DIMENSIONAL ANTIFERROMAGNETS
   SYSTEMS
   SUSCEPTIBILITY
   EXCITATIONS
   SR2CUO3
   CA2CUO3
   KCUF3
Кл.слова (ненормированные):
Computational methods -- Copper compounds -- Correlation methods -- Functions -- Magnetic field effects -- Magnetic properties -- Magnetization -- Monte Carlo methods -- Quantum theory -- Specific heat -- Thermal effects -- Excitation spectroscopy -- Interchain coupling -- Intrachain couplings -- Mean-field approximation -- Spin-spin correlation function -- Spinons -- Antiferromagnetic materials
Аннотация: Calculations of the thermodynamic quantities, and the spectra of spinons, triplet excitations, and two-particle spin-singlet (Delta S-z = 0, +/- 1) excitations for a weakly coupled antiferromagnetic S = 1/2 spin chain are made using a mean-field approximation for the interchain couplings (J(2)) by the quantum Monte Carlo method. The mass gaps in these excitation spectra are estimated as functions of the interchain coupling. The critical held H-c, and the temperatures at which the spinon and singlet gaps close (T-1 and T-2, respectively) are obtained. Some peculiarities of the staggered magnetization, the specific heat, and the spin-spin correlation function are found at T-1 = 0.9J(2), T-2 = 1.5J(2), H-c = 3.8J(2), as determined by linear function fitting for J(2)/J(1) < 0.15 The intrachain and interchain couplings, and the staggered magnetization for KCuF3, Sr2CuO3, and Ca2CuO3 are estimated, and mass gaps are predicted to exist in the spectra of the spinons and the singlet two-particle excitations.

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Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
L V Kirensky Institute of Physics, Siberian Br. Russ. Acad. of Sci., Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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12.

Aplesnin, S. S.
The study of magnetic properties of the quasi-one-dimensianal spin-1/2 antiferromagnet by Monte-Carlo method / S. S. Aplesnin // Phys. Low-Dimens. Struct. - 2000. - Vol. 07.08.2013. - P. 37-46. - Cited References: 15 . - ISSN 0204-3467

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
ONE-DIMENSIONAL ANTIFERROMAGNETS
   SYSTEMS
   CHAINS
   CA2CUO3
Аннотация: The thermodynamic quantities, two- and four-spin correlation functions as well as the correlation radius for weakly coupled antiferromagnetic spin chains with S = 1/2 are calculated using the mean-field approximation for the interchain coupling (J(2)) for longitudinal and transverse spin components by quantum Monte Carlo method. Results for the staggered magnetization and Neel temperature are in agreement with general scaling arguments. The value of triplet DeltaS(z) =1 gp in the spectrum of excitations is estimated. The transverse staggered field was found to induce an additional maximum in the correlation radius of the four spin correlation function around T/J(1) approximate to [0.05 divided by 0.075), J(2)/J(1) 0.03.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Аплеснин, Сергей Степанович
}
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13.

    Arkhipkin, V. G.
    Adiabatic propagation of short pulses under conditions of electromagnetically induced transparency / V. G. Arkhipkin, I. V. Timofeev // Quantum Electron. - 2000. - Vol. 30, Is. 2. - P. 180-184, DOI 10.1070/QE2000v030n02ABEH001683. - Cited References: 31 . - ISSN 1063-7818
   Перевод заглавия: Адиабатическое распространение коротких импульсов в условиях электромагнитно-индуцированной прозрачности

РУБ Engineering, Electrical & Electronic + Physics, Applied
Рубрики:
POPULATION TRANSFER
   LASER-PULSES
   INTERFERENCE
   ENHANCEMENT
   COHERENCE
   QUANTUM
   SYSTEMS
   INDEX
Аннотация: The spatial and temporal dynamics of two short pulses propagating in an optically dense medium of resonant three-level Lambda-atoms is investigated numerically and analytically. The maximum coherence for the Raman transition due to coherent population trapping. it is shown that, at the initial stage of propagation, the waveforms of such pulses only slightly change along the length of the medium, which may considerably exceed the length of linear absorption for a single weak pulse. As the length of the absorbing medium increases, the energy of the probe (first) pulse is completely transferred into the second (control) pulse.

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Публикация на русском языке Архипкин, Василий Григорьевич. Адиабатическое распространение коротких импульсов в условиях электромагнитно-индуцированной прозрачности [Текст] / В. Г. Архипкин, И. В. Тимофеев // Квант. электрон. - 2000. - Т. 30 № 2. - С. 180-184

Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Архипкин, Василий Григорьевич
}
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14.

Berman, G. P.
Error correction for a spin quantum computer / G. P. Berman, D. K. Campbell, V. I. Tsifrinovich // Phys. Rev. B. - 1997. - Vol. 55, Is. 9. - P. 5929-5936, DOI 10.1103/PhysRevB.55.5929. - Cited References: 26 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
SYSTEMS
   COMPUTATION
   UNIVERSAL
   DYNAMICS
   LOGIC
Аннотация: The problems of error correction in a spin quantum computer are discussed. For digital processing in the Ising and Heisenberg chains driven by a resonant electromagnetic field, the simple schemes are suggested which provide correction of errors caused by imperfect pi pulses, and prevent the most significant errors caused by the nonresonant action of rr pulses. The probability of error caused by the Heisenberg interaction during the action of rr pulses is estimated. For quantum computations in spin systems a principal opportunity to correct the phase errors, based on Steane's three quantum-bits scheme, is described.

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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
POLYTECH INST NEW YORK,DEPT APPL MATH & PHYS,BROOKLYN,NY 11201
ИФ СО РАН

Доп.точки доступа:
Campbell, D. K.; Tsifrinovich, V. I.
}
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15.

Bondarenko, I. N.
Magnetic transitions in layered triangular antiferromagnets / I. N. Bondarenko, R. S. Gekht, V. I. Ponomarev // Phys. Lett. A. - 1996. - Vol. 222, Is. 4. - P. 269-274, DOI 10.1016/0375-9601(96)00635-4. - Cited References: 22 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
HEISENBERG-ANTIFERROMAGNET
   PHASE-TRANSITION
   VBR2
   SYSTEMS
   FIELD
   VCL2
Кл.слова (ненормированные):
triangular antiferromagnets -- quantum and thermal fluctuations -- successive phase transitions -- Quantum and thermal fluctuations -- Successive phase transitions -- Triangular antiferromagnets
Аннотация: Magnetic states and phase transitions of the layered triangular antiferromagnets in an applied field are studied. It is shown that in compounds like VBr2 and VCl2 quantum effects change the ground state structure and cause successive phase transitions as the magnetic field increases. Coplanar structures of different spin configuration are realized far from the saturation field and a noncoplanar structure of umbrella-type configuration is realized near this field. The ground-state phase diagram is constructed, and a finite region of fields where the collinear phase is also possible is indicated.

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Держатели документа:
Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Gekht, R. S.; Ponomarev, V. I.
}
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16.

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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17.

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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18.

Bulgakov, E. N.
Spectroscopic properties of large open quantum-chaotic cavities with and without separated time scales / E. N. Bulgakov, I. . Rotter // Phys. Rev. E. - 2006. - Vol. 73, Is. 6. - Ст. 66222, DOI 10.1103/PhysRevE.73.066222. - Cited References: 24 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ EQUATION
   SYSTEMS
   DYNAMICS
   STATES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Hamiltonians -- Numerical analysis -- Phase control -- Quantum theory -- Spectroscopic analysis -- Wave transmission -- Bunimovich cavity -- Hamiltonian formalism -- Phase rigidity -- Quantum-chaotic cavities -- Cavity resonators
Аннотация: The spectroscopic properties of an open large Bunimovich cavity are studied numerically in the framework of the effective Hamiltonian formalism. The cavity is opened by attaching two leads to it in four different ways. In some cases, the transmission takes place via standing waves with an intensity that closely follows the profile of the resonances. In other cases, short-lived and long-lived resonance states coexist. The short-lived states cause traveling waves in the transmission while the long-lived ones generate superposed fluctuations. The traveling waves oscillate as a function of energy. They are not localized in the interior of the large chaotic cavity. In all considered cases, the phase rigidity fluctuates with energy. It is mostly near to its maximum value and agrees well with the theoretical value for the two-channel case.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany

Доп.точки доступа:
Rotter, I.; Булгаков, Евгений Николаевич
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19.

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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20.

DYNAMICAL CHAOS IN SU(2) CIRCLE-TIMES-U (1) THEORY / G. . BERMAN [et al.] // Phys. Lett. A. - 1994. - Vol. 194, Is. 4. - P. 251-264, DOI 10.1016/0375-9601(94)91247-5. - Cited References: 26 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
GAUGE-THEORY
SYSTEMS
FIELDS
Аннотация: We study the dynamics of the classical homogeneous SU(2) x U(1) gauge theory in the spontaneously broken phase. A transition from regular to chaotic dynamics is shown to occur for energy densities epsilon 0.3m(w)2/G(F) almost-equal-to 2 x 10(10) GeV/fm3. The regular regime is characterized by a sharp frequency spectrum for the Yang-Mills fields. The frequency spectrum in the chaotic regime is continuous and the sharp frequency lines of the regular regime are dispersed. In the early universe or at high energy densities in a Yang-Mills plasma this transition may have observable effects that can be studied by analyzing the frequency spectrum and the time correlation functions. In the chaotic regime these time correlation functions decay considerably faster than in the regular regime.

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Держатели документа:
KIRENSKY PHYS INST,KRASNOYARSK 660036,RUSSIA
LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
ИФ СО РАН

Доп.точки доступа:
BERMAN, G.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; HOLM, D.; KLUGER, Y.
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