139,338 research outputs found
Biconical critical dynamics
A complete two loop renormalization group calculation of the multicritical
dynamics at a tetracritical or bicritical point in anisotropic antiferromagnets
in an external magnetic field is performed. Although strong scaling for the two
order parameters (OPs) perpendicular and parallel to the field is restored as
found earlier, in the experimentally accessible region the effective dynamical
exponents for the relaxation of the OPs remain different since their equal
asymptotic values are not reached.Comment: 6 pages, 2 figures; some additions, corrected typo
Generalized Yang-Baxter Equation
A generalization of the Yang-Baxter equation is proposed. It enables to
construct integrable two-dimensional lattice models with commuting two-layer
transfer matrices, while single-layer ones are not necessarily commutative.
Explicit solutions to the generalized equations are found. They are related
with Botzmann weights of the chiral Potts model.Comment: 13 pages, TeX file. IHEP-93-?
Selective excitations of a Kerr-nonlinear resonator: exactly solvable approach
We study Kerr nonlinear resonators (KNR) driven by a continuous wave field in
quantum regimes where strong Kerr interactions give rise to selective resonant
excitations of oscillatory modes. We use an exact quantum theory of KNR in the
framework of the Fokker-Planck equation without any quantum state truncation or
perturbation procedure. This approach allows non-perturbative consideration of
KNR for various quantum operational regimes including cascaded processes
between oscillatory states. We focus on understanding of multi-photon
non-resonant and selective resonant excitations of introcavity mode depending
on the detuning, the amplitude of the driving field and the strength of
nonlinearity. The analysis is provided on the base of photon number
distributions, the photon-number correlation function and the Wigner function.Comment: 8 pages, 9 figure
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