2,702 research outputs found
Evolution of Cosmological Perturbations in the Universe dominated by Multiple Scalar Fields
By efforts of several authors, it is recently established that the dynamical
behavior of the cosmological perturbation on superhorizon scales is well
approximated in terms of that in the long wavelength limit, and the latter can
be constructed from the evolution of corresponding exactly homogeneous
universe. Using these facts, we investigate the evolution of the cosmological
perturbation on superhorizon scales in the universe dominated by oscillating
multiple scalar fields which are generally interacting with each other, and the
ratio of whose masses is incommensurable. Since the scalar fields oscillate
rapidly around the local minimum of the potential, we use the action angle
variables. We found that this problem can be formulated as the canonical
perturbation theory in which the perturbed part appearing as the result of the
expansion of the universe and the interaction of the scalar fields is bounded
by the negative power ot time. We show that by constructing the canonical
transformations properly, the transformed hamiltonian becomes simple enough to
be solved. As the result of the invetigation using the long wavelength limit
and the canonical perturbation theory, under the sufficiently general
conditions, we prove that for the adiabatic growing mode the Bardeen parameter
stays constant and that for all the other modes the Bardeen parameter decays.
From the viewpoint of the ergodic theory, it is discussed that as for the
Bardeen parameter, the sigularities appear probabilistically. This analysis
serves the understanding of the evolution of the cosmological perturbations on
superhorizon scales during reheating.Comment: 31 Pages; Latex, No figure
An Observational Test of Two-field Inflation
We study adiabatic and isocurvature perturbation spectra produced by a period
of cosmological inflation driven by two scalar fields. We show that there
exists a model-independent consistency condition for all two-field models of
slow-roll inflation, despite allowing for model-dependent linear processing of
curvature and isocurvature perturbations during and after inflation on
super-horizon scales. The scale-dependence of all spectra are determined solely
in terms of slow-roll parameters during inflation and the dimensionless
cross-correlation between curvature and isocurvature perturbations. We present
additional model-dependent consistency relations that may be derived in
specific two-field models, such as the curvaton scenario.Comment: 6 pages, latex with revtex, no figures; v2, minor changes, to appear
in Physical Review
Kondo effect and anti-ferromagnetic correlation in transport through tunneling-coupled double quantum dots
We propose to study the transport through tunneling-coupled double quantum
dots (DQDs) connected in series to leads, using the finite- slave-boson mean
field approach developed initially by Kotliar and Ruckenstein [Phys. Rev. Lett.
{\bf 57}, 1362 (1986)]. This approach treats the dot-lead coupling and the
inter-dot tunnelling nonperturbatively at arbitrary Coulomb correlation
, thus allows the anti-ferromagnetic exchange coupling parameter
to appear naturally. We find that, with increasing the inter-dot hopping, the
DQDs manifest three distinct physical scenarios: the Kondo singlet state of
each dot with its adjacent lead, the spin singlet state consisting of local
spins on each dot and the doubly occupied bonding orbital of the coupled dots.
The three states exhibit remarkably distinct behavior in transmission spectrum,
linear and differential conductance and their magnetic-field dependence.
Theoretical predictions agree with numerical renormalization group and Lanczos
calculations, and some of them have been observed in recent experiments.Comment: 5 pages, 5 figures. Physics Review B (Rapid Communication) (in press
Conduction through a quantum dot near a singlet-triplet transition
Kondo effect in the vicinity of a singlet-triplet transition in a vertical
quantum dot is considered. This system is shown to map onto a special version
of the two-impurity Kondo model. At any value of the control parameter, the
system has a Fermi-liquid ground state. Explicit expressions for the linear
conductance as a function of the control parameter and temperature are
obtained. At T=0, the conductance reaches the unitary limit at
the triplet side of the transition, and decreases with the increasing distance
to the transition at the singlet side. At finite temperature, the conductance
exhibits a peak near the transition point
Orbital Kondo effect in carbon nanotubes
Progress in the fabrication of nanometer-scale electronic devices is opening
new opportunities to uncover the deepest aspects of the Kondo effect, one of
the paradigmatic phenomena in the physics of strongly correlated electrons.
Artificial single-impurity Kondo systems have been realized in various
nanostructures, including semiconductor quantum dots, carbon nanotubes and
individual molecules. The Kondo effect is usually regarded as a spin-related
phenomenon, namely the coherent exchange of the spin between a localized state
and a Fermi sea of electrons. In principle, however, the role of the spin could
be replaced by other degrees of freedom, such as an orbital quantum number.
Here we demonstrate that the unique electronic structure of carbon nanotubes
enables the observation of a purely orbital Kondo effect. We use a magnetic
field to tune spin-polarized states into orbital degeneracy and conclude that
the orbital quantum number is conserved during tunneling. When orbital and spin
degeneracies are simultaneously present, we observe a strongly enhanced Kondo
effect, with a multiple splitting of the Kondo resonance at finite field and
predicted to obey a so-called SU(4) symmetry.Comment: 26 pages, including 4+2 figure
Universal conductance enhancement and reduction of the two-orbital Kondo effect
We investigate theoretically the linear and nonlinear conductance through a
nanostructure with two-fold degenerate single levels, corresponding to the
transport through nanostructures such as a carbon nanotube, or double dot
systems with capacitive interaction. It is shown that the presence of the
interaction asymmetry between orbits/dots affects significantly the profile of
the linear conductance at finite temperature, and, of the nonlinear
conductance, particularly around half-filling, where the two-particle Kondo
effect occurs. Within the range of experimentally feasible parameters, the
SU(4) universal behavior is suggested, and comparison with relevant experiments
is made.Comment: 10 pages, 16 figure
Spin Effects and Transport in Quantum Dots with overlapping Resonances
The role of spin is investigated in the transport through a quantum dot with
two overlapping resonances (one having a width larger than the level separation
and the other very narrow, cf. Silvestrov and Imry, Phys. Rev. Lett. {\bf 85},
2565 (2000)). For a series of consecutive charging resonances, one electron
from the leads populates one and the same broad level in the dot. Moreover,
there is the tendency to occupy the same level also by the second electron
within the same resonance. This second electron is taken from the narrow levels
in the dot. The narrow levels are populated (and broad level is depopulated)
via sharp rearrangements of the electronic configuration in the Coulomb
blockade valleys. Possible experimental manifestations of this scenario are
considered. Among these there are sharp features in the valleys and in the
Mixed Valence regime and an unusual Kondo effect.Comment: 7 pages, 3 figures, just a published versio
Cosmological perturbations from varying masses and couplings
We study the evolution of perturbations during the domination and decay of a
massive particle species whose mass and decay rate are allowed to depend on the
expectation value of a light scalar field. We specialize in the case where the
light field is slow-rolling, showing that during a phase of inhomogeneous
mass-domination and decay the isocurvature perturbation of the light field is
converted into a curvature perturbation with an efficiency which is nine times
larger than when the mass is fixed. We derive a condition on the annihilation
cross section and on the decay rate for the domination of the massive particles
and we show that standard model particles cannot dominate the universe before
nucleosynthesis. We also compare this mechanism with the curvaton model.
Finally, observational signatures are discussed. A cold dark matter
isocurvature mode can be generated if the dark matter is produced out of
equilibrium by both the inflaton and the massive particle species decay.
Non-Gaussianities are present: they are chi-square deviations. However, they
might be too small to be observable.Comment: 21 pages, 4 figures, published versio
Large-scale cosmological perturbations on the brane
In brane-world cosmologies of Randall-Sundrum type, we show that evolution of
large-scale curvature perturbations may be determined on the brane, without
solving the bulk perturbation equations. The influence of the bulk
gravitational field on the brane is felt through a projected Weyl tensor which
behaves effectively like an imperfect radiation fluid with anisotropic stress.
We define curvature perturbations on uniform density surfaces for both the
matter and Weyl fluids, and show that their evolution on large scales follows
directly from the energy conservation equations for each fluid. The total
curvature perturbation is not necessarily constant for adiabatic matter
perturbations, but can change due to the Weyl entropy perturbation. To relate
this curvature perturbation to the longitudinal gauge metric potentials
requires knowledge of the Weyl anisotropic stress which is not determined by
the equations on the brane. We discuss the implications for large-angle
anisotropies on the cosmic microwave background sky.Comment: 13 pages, latex with revtex, no figure
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