113,409 research outputs found
Superradiance in spin- particles: Effects of multiple levels
We study the superradiance dynamics in a dense system of atoms each of which
can be generally a spin- particle with an arbitrary half-integer. We
generalize Dicke's superradiance point of view to multiple-level systems, and
compare the results based on a novel approach we have developed in {[}Yelin
\textit{et al.}, arXiv:quant-ph/0509184{]}. Using this formalism we derive an
effective two-body description that shows cooperative and collective effects
for spin- particles, taking into account the coherence of transitions
between different atomic levels. We find that the superradiance, which is
well-known as a many-body phenomenon, can also be modified by multiple level
effects. We also discuss the feasibility and propose that our approach can be
applied to polar molecules, for their vibrational states have multi-level
structure which is partially harmonic.Comment: 11 pages, 7 figure
Extended Hubbard model on a C molecule
The electronic correlations on a C molecule, as described by an
extended Hubbard Hamiltonian with a nearest neighbor Coulomb interaction of
strength , are studied using quantum Monte Carlo and exact diagonalization
methods. For electron doped C, it is known that pair-binding arising
from a purely electronic mechanism is absent within the standard Hubbard model
(V=0). Here we show that this is also the case for hole doping for and that, for both electron and hole doping, the effect of a non-zero is
to work against pair-binding. We also study the magnetic properties of the
neutral molecule, and find transitions between spin singlet and triplet ground
states for either fixed or values. In addition, spin, charge and
pairing correlation functions on C are computed. The spin-spin and
charge-charge correlations are very short-range, although a weak enhancement in
the pairing correlation is observed for a distance equal to the molecular
diameter.Comment: 9 pages, 8 figures, 4 table
Symmetric achromatic low-beta collider interaction region design concept
We present a new symmetry-based concept for an achromatic low-beta collider
interaction region design. A specially-designed symmetric Chromaticity
Compensation Block (CCB) induces an angle spread in the passing beam such that
it cancels the chromatic kick of the final focusing quadrupoles. Two such CCBs
placed symmetrically around an interaction point allow simultaneous
compensation of the 1st-order chromaticities and chromatic beam smear at the IP
without inducing significant 2nd-order aberrations to the particle trajectory.
We first develop an analytic description of this approach and explicitly
formulate 2nd-order aberration compensation conditions at the interaction
point. The concept is next applied to develop an interaction region design for
the ion collider ring of an electron-ion collider. We numerically evaluate
performance of the design in terms of momentum acceptance and dynamic aperture.
The advantages of the new concept are illustrated by comparing it to the
conventional distributed-sextupole chromaticity compensation scheme.Comment: 12 pages, 17 figures, to be submitted to Phys. Rev. ST Accel. Beam
Creep fatigue life prediction for engine hot section materials (ISOTROPIC)
The specific activities summarized include: verification experiments (base program); thermomechanical cycling model; multiaxial stress state model; cumulative loading model; screening of potential environmental and protective coating models; and environmental attack model
K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory
We calculate results for K to pi and K to 0 matrix elements to
next-to-leading order in 2+1 flavor partially quenched chiral perturbation
theory. Results are presented for both the Delta I=1/2 and 3/2 channels, for
chiral operators corresponding to current-current, gluonic penguin, and
electroweak penguin 4-quark operators. These formulas are useful for studying
the chiral behavior of currently available 2+1 flavor lattice QCD results, from
which the low energy constants of the chiral effective theory can be
determined. The low energy constants of these matrix elements are necessary for
an understanding of the Delta I=1/2 rule, and for calculations of
epsilon'/epsilon using current lattice QCD simulations.Comment: 43 pages, 2 figures, uses RevTeX, added and updated reference
Properties of solutions of stochastic differential equations driven by the G-Brownian motion
In this paper, we study the differentiability of solutions of stochastic
differential equations driven by the -Brownian motion with respect to the
initial data and the parameter. In addition, the stability of solutions of
stochastic differential equations driven by the -Brownian motion is
obtained
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