644 research outputs found
On the solutions of the nonlinear Liouville hierarchy
We investigate the initial-value problem of the non-linear Liouville
hierarchy. For the general form of the interaction potential we construct an
explicit solution in terms of an expansion over particle clusters whose
evolution is described by the corresponding-order cumulant of evolution
operators of a system of finitely many particles. For the initial data from the
space of integrable functions the existence of a strong solution of the Cauchy
problem is proved.Comment: 9 page
Phase transition in the Higgs model of scalar dyons
In the present paper we investigate the phase transition
"Coulomb--confinement" in the Higgs model of abelian scalar dyons -- particles
having both, electric and magnetic , charges. It is shown that by dual
symmetry this theory is equivalent to scalar fields with the effective squared
electric charge e^{*2}=e^2+g^2. But the Dirac relation distinguishes the
electric and magnetic charges of dyons. The following phase transition
couplings are obtained in the one--loop approximation:
\alpha_{crit}=e^2_{crit}/4\pi\approx 0.19,
\tilde\alpha_{crit}=g^2_{crit}/4\pi\approx 1.29 and \alpha^*_{crit}\approx
1.48.Comment: 16 pages, 2 figure
Effects of Frustrated Surface in Heisenberg Thin Films
We study by extensive Monte Carlo (MC) simulations and analytical Green
function (GF) method effects of frustrated surfaces on the properties of thin
films made of stacked triangular layers of atoms bearing Heisenberg spins with
an Ising-like interaction anisotropy. We suppose that the in-plane surface
interaction can be antiferromagnetic or ferromagnetic while all other
interactions are ferromagnetic. We show that the ground-state spin
configuration is non linear when is lower than a critical value .
The film surfaces are then frustrated. In the frustrated case, there are two
phase transitions related to disorderings of surface and interior layers. There
is a good agreement between MC and GF results. In addition, we show from MC
histogram calculation that the value of the ratio of critical exponents
of the observed transitions is deviated from the values of two and
three Ising universality classes. The origin of this deviation is discussed
with general physical arguments.Comment: 9 pages, 16 figure
Superfluid state of magnetoexcitons in double layer graphene structures
The possibility of realization of a superfluid state of bound electron-hole
pairs (magnetoexcitons) with spatially separated components in a graphene
double layer structure (two graphene layers separated by a dielectric layer)
subjected by a strong perpendicular to the layers magnetic field is analyzed.
We show that the superfluid state of magnetoexcitons may emerge only under
certain imbalance of filling factors of the layers. The imbalance can be
created by an electrostatic field (external gate voltage). The spectrum of
elementary excitations is found and the dependence of the
Berezinskii-Kosterlitz-Thouless transition temperature on the interlayer
distance is obtained. The advantages of use graphene double layer systems
instead of double quantum well GaAs heterostructures are discussed
On passage through resonances in volume-preserving systems
Resonance processes are common phenomena in multiscale (slow-fast) systems.
In the present paper we consider capture into resonance and scattering on
resonance in 3-D volume-preserving slow-fast systems. We propose a general
theory of those processes and apply it to a class of viscous Taylor-Couette
flows between two counter-rotating cylinders. We describe the phenomena during
a single passage through resonance and show that multiple passages lead to the
chaotic advection and mixing. We calculate the width of the mixing domain and
estimate a characteristic time of mixing. We show that the resulting mixing can
be described using a diffusion equation with a diffusion coefficient depending
on the averaged effect of the passages through resonances.Comment: 23 pages and 9 Figure
Heavy-to-light form factors: sum rules on the light cone and beyond
We report the first systematic analysis of the off-light-cone effects in sum
rules for heavy-to-light form factors. These effects are investigated in a
model based on scalar constituents, which allows a technically rather simple
analysis but has the essential features of the analogous QCD calculation. The
correlator relevant for the extraction of the heavy-to-light form factor is
calculated in two different ways: first, by adopting the full Bethe-Salpeter
amplitude of the light meson and, second, by performing the expansion of this
amplitude near the light cone . We demonstrate that the contributions to
the correlator from the light-cone term and the off-light-cone terms
have the same order in the expansion. The light-cone
correlator, corresponding to , is shown to systematically overestimate
the full correlator, the difference being , with
the continuum subtraction parameter of order 1 GeV. Numerically, this
difference is found to be 10-20%.Comment: revtex 14 pages, version to be published in Phys. Rev. D (discussion
in Sect. 3 extended, example in Sect. 4 added
Nonlinear Bogolyubov-Valatin transformations and quaternions
In introducing second quantization for fermions, Jordan and Wigner
(1927/1928) observed that the algebra of a single pair of fermion creation and
annihilation operators in quantum mechanics is closely related to the algebra
of quaternions H. For the first time, here we exploit this fact to study
nonlinear Bogolyubov-Valatin transformations (canonical transformations for
fermions) for a single fermionic mode. By means of these transformations, a
class of fermionic Hamiltonians in an external field is related to the standard
Fermi oscillator.Comment: 6 pages REVTEX (v3: two paragraphs appended, minor stylistic changes,
eq. (39) corrected, references [10]-[14], [36], [37], [41], [67]-[69] added;
v4: few extensions, references [62], [63] added, final version to be
published in J. Phys. A: Math. Gen.
Thermal Bogoliubov transformation in nuclear structure theory
Thermal Bogoliubov transformation is an essential ingredient of the thermo
field dynamics -- the real time formalism in quantum field and many-body
theories at finite temperatures developed by H. Umezawa and coworkers. The
approach to study properties of hot nuclei which is based on the extension of
the well-known Quasiparticle-Phonon Model to finite temperatures employing the
TFD formalism is presented. A distinctive feature of the QPM-TFD combination is
a possibility to go beyond the standard approximations like the thermal
Hartree-Fock or the thermal RPA ones.Comment: 8 pages, Proceedings of the International Bogolyubov Conference
"Problems of Theoretical and Mathematical Physics", August 23 -- 27, 2009,
Dubna, Russi
Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
We study the Anderson localization of Bogolyubov quasiparticles in an
interacting Bose-Einstein condensate (with healing length \xi) subjected to a
random potential (with finite correlation length \sigma_R). We derive
analytically the Lyapunov exponent as a function of the quasiparticle momentum
k and we study the localization maximum k_{max}. For 1D speckle potentials, we
find that k_{max} is proportional to 1/\xi when \xi is much larger than
\sigma_R while k_{max} is proportional to 1/\sigma_R when \xi is much smaller
than \sigma_R, and that the localization is strongest when \xi is of the order
of \sigma_R. Numerical calculations support our analysis and our estimates
indicate that the localization of the Bogolyubov quasiparticles is accessible
in current experiments with ultracold atoms.Comment: published version (no significant changes compared to last version
Electronic Orbital Currents and Polarization in Mott Insulators
The standard view is that at low energies Mott insulators exhibit only
magnetic properties while charge degrees of freedom are frozen out as the
electrons become localized by a strong Coulomb repulsion. We demonstrate that
this is in general not true: for certain spin textures {\it spontaneous
circular electric currents} or {\it nonuniform charge distribution} exist in
the ground state of Mott insulators. In addition, low-energy ``magnetic''
states contribute comparably to the dielectric and magnetic functions
and leading to interesting phenomena
such as rotation the electric field polarization and resonances which may be
common for both functions producing a negative refraction index in a window of
frequencies
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