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Zobov, V. E.
On the short duration limit for the correlation-functions of 2 distant spins at high-temperatures / V. E. Zobov // Zhurnal Eksperimentalnoi Teor. Fiz. - 1991. - Vol. 99, Is. 3. - P. 809-815. - Cited References: 15 . - ISSN 0044-4510

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMICS
Аннотация: The first term in the expansion in powers of time is found for the correlation function of two spins separated by a large distance in the case of an anisotropic Heisenberg paramagnet.

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Доп.точки доступа:
Зобов, Владимир Евгеньевич
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Averyanov, E. M.
Orientation ordering and critical behavior of discoid nematics / E. M. Averyanov // Zhurnal Eksperimentalnoi Teor. Fiz. - 1996. - Vol. 110, Is. 5. - P. 1820-1840. - Cited References: 55 . - ISSN 0044-4510

РУБ Physics, Multidisciplinary
Рубрики:
LIQUID-CRYSTALS
   PHASE-TRANSITION
   ISOTROPIC-PHASE
   LOCAL FIELD
   SMECTIC-A
   MOLECULES
   SUSCEPTIBILITY
   CONFORMATION
   PARAMETER
   DYNAMICS

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Zobov, V. E.
On the radius of convergence of series in powers of time for spin correlation functions of the Heisenberg magnet at high temperature / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 1997. - Vol. 112, Is. 3. - P. 1182-1191, DOI 10.1007/BF02583049. - Cited References: 22 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
AUTO-CORRELATION FUNCTION
   INFINITE-TEMPERATURE
   PARAMAGNET
   DYNAMICS
   MODEL
Аннотация: The convergence of series in powers of time for spin autocorrelation functions of the Heisenberg magnet are investigated at infinite temperatures on lattices of different dimensions d. The calculation data available at the present time for the coefficients of these series are used to estimate the corresponding radii of convergence, whose growth with decreasing d is revealed and explained in a self-consistent approximation. To this end, a simplified nonlinear equation corresponding to this approximation is suggested and solved for the autocorrelation function of a system with an arbitrary number Z of nearest neighbors. The coefficients of the expansion in powers of time for the solution are represented in the form of trees on the Bethe lattice with the coordination number Z. A computer simulation method is applied to calculate the expansion coefficients for trees embedded in square, triangular, and simple cubic lattices under the condition that the intersection of tree branches is forbidden. It is found that the excluded volume effect that manifests itself in a decrease in these coefficients and in an increase in the coordinate and exponent of the singularity of the autocorrelation function on the imaginary time axis is intensified with decreasing lattice dimensions.

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

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
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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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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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Alekseev, K. N.
Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems / K. N. Alekseev, N. V. Alekseeva, J. . Perina // J. Exp. Theor. Phys. - 2000. - Vol. 90, Is. 4. - P. 592-599, DOI 10.1134/1.559142. - Cited References: 32 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   STATISTICAL PROPERTIES
   HARMONIC-GENERATION
   SQUEEZED STATES
   CHAOS
   LIGHT
   NONLINEARITIES
   INSTABILITIES
   DYNAMICS
   ATOMS
Аннотация: We develop a semiclassical method to determine the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: the study of the dynamics of nonclassical state generation in higher order anharmonic dissipative oscillators and the establishment of the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one. (C) 2000 MAIK "Nauka/Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, 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:
Alekseeva, N. V.; Perina, 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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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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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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10.

Zobov, V. E.
Second moment of multiple-quantum NMR and a time-dependent growth of the number of multispin correlations in solids / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2006. - Vol. 103, Is. 6. - P. 904-916, DOI 10.1134/S1063776106120089. - Cited References: 39 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
NUCLEAR-MAGNETIC-RESONANCE
   LINE-SHAPE
   SPIN SYSTEMS
   DYNAMICS
   SPECTRA
   COHERENCES
   STATE
   BEHAVIOR
   CRYSTAL
   MODEL
Кл.слова (ненормированные):
Correlation methods -- Mathematical models -- Nuclear magnetic resonance spectroscopy -- Spectrum analysis -- Time series analysis -- Four-spin time correlation -- Multispin correlations -- Second moment -- Time power series -- Quantum theory
Аннотация: The time evolution of multispin correlations (the growth of the number of correlated spins as a function of time) can be observed directly using the multiple-quantum nuclear magnetic resonance spectroscopy of solids. A quantity related to this number, namely, the second moment of the intensity distribution of coherences of different orders in the multiple-quantum spectrum can be calculated using the theory proposed in this work. An approach to the calculation of the four-spin time correlation function through which this moment is expressed is developed. The main sequences of contributions in the expansion of this function into a time power series are summed using the approximation of a large number of neighbors both for systems with a secular dipole-dipole interaction and for systems with a nonsecular effective interaction. An exponential dependence of is obtained. The value of is additionally calculated using an expansion in terms of orthogonal operators for three model examples corresponding to different limiting realizations of spin systems. It is shown that the results of the microscopic theory at least qualitatively agree with both the results obtained for model examples and experimental results obtained recently for adamantane.

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Держатели документа:
Russian Acad Sci, Siberian Div, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 117977, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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