125,732 research outputs found
Scalars in the hadron world: the Higgs sector of the strong interaction
Scalar mesons are a key expression of the strong physics regime of QCD and
the role condensates, particularly , play in breaking chiral
symmetry.
What new insights have been provided by recent experiments on and
decays to light hadrons is discussed. We need to establish whether all
the claimed scalars , , , etc., really exist and
with what parameters before we can meaningfully speculate further about which
is transiently , , multi-meson molecule or largely
glue.Comment: 10 pages, 4 figures. Invited talk at the International Conference on
QCD and Hadronic Physics, Beijing, June 2005. A shortened version will appear
in the Proceeding
A non-local vector calculus,non-local volume-constrained problems,and non-local balance laws
A vector calculus for nonlocal operators is developed, including the definition of nonlocal divergence, gradient, and curl operators and the derivation of the corresponding adjoints operators. Nonlocal analogs of several theorems and identities of the vector calculus for differential operators are also presented. Relationships between the nonlocal operators and their differential counterparts are established, first in a distributional sense and then in a weak sense by considering weighted integrals of the nonlocal adjoint operators. The nonlocal calculus gives rise to volume-constrained problems that are analogous to elliptic boundary-value problems for differential operators; this is demonstrated via some examples. Another application is posing abstract nonlocal balance laws and deriving the corresponding nonlocal field equations
Robust observer for uncertain linear quantum systems
In the theory of quantum dynamical filtering, one of the biggest issues is
that the underlying system dynamics represented by a quantum stochastic
differential equation must be known exactly in order that the corresponding
filter provides an optimal performance; however, this assumption is generally
unrealistic. Therefore, in this paper, we consider a class of linear quantum
systems subjected to time-varying norm-bounded parametric uncertainties and
then propose a robust observer such that the variance of the estimation error
is guaranteed to be within a certain bound. Although in the linear case much of
classical control theory can be applied to quantum systems, the quantum robust
observer obtained in this paper does not have a classical analogue due to the
system's specific structure with respect to the uncertainties. Moreover, by
considering a typical quantum control problem, we show that the proposed robust
observer is fairly robust against a parametric uncertainty of the system even
when the other estimators--the optimal Kalman filter and risk-sensitive
observer--fail in the estimation.Comment: 11 pages, 1 figur
Cavity-QED with cold atoms trapped in a double-well potential
We investigate the interplay dynamics of a cavity qed system, where the
two-level atoms are trapped in a double-well potential, and the cavity mode,
with a frequency largely detuned to the atomic level splitting, is driven by a
probe laser. The interaction between the center-of-mass motion of the atoms and
the cavity mode is induced by the position dependent atom-field coupling. The
dynamics of the system is characterized by two distinct time scales, the
inverse of the atomic interwell tunneling rate and the inverse of the cavity
loss rate. The system shows drastically different (quasi) steady behaviors in
the short-time and long-time intervals.Comment: 8 pages, 5 figue
Calculation of Elastic Green's Functions for Lattices with Cavities
In this Brief Report, we present an algorithm for calculating the elastic
Lattice Greens Function of a regular lattice, in which defects are created by
removing lattice points. The method is computationally efficient, since the
required matrix operations are on matrices that scale with the size of the
defect subspace, and not with the size of the full lattice. This method allows
the treatment of force fields with multi-atom interactions.Comment: 3 pages. RevTeX, using epsfig.sty. One figur
Deflection of Slow Light by Magneto-Optically Controlled Atomic Media
We present a semi-classical theory for light deflection by a coherent
-type three-level atomic medium in an inhomogeneous magnetic field or
an inhomogeneous control laser. When the atomic energy levels (or the Rabi
coupling by the control laser) are position-dependent due to the Zeeman effect
by the inhomogeneous magnetic field (or the inhomogeneity of the control field
profile), the spatial dependence of the refraction index of the atomic medium
will result in an observable deflection of slow signal light when the
electromagnetically induced transparency happens to avoid medium absorption.
Our theoretical approach based on Fermat's principle in geometrical optics not
only provides a consistent explanation for the most recent experiment in a
straightforward way, but also predicts the new effects for the slow signal
light deflection by the atomic media in an inhomogeneous off-resonant control
laser field.Comment: 4 pages, 3 figure
Random Networks with given Rich-club Coefficient
In complex networks it is common to model a network or generate a surrogate
network based on the conservation of the network's degree distribution. We
provide an alternative network model based on the conservation of connection
density within a set of nodes. This density is measure by the rich-club
coefficient. We present a method to generate surrogates networks with a given
rich-club coefficient. We show that by choosing a suitable local linking term,
the generated random networks can reproduce the degree distribution and the
mixing pattern of real networks. The method is easy to implement and produces
good models of real networks.Comment: revised version, new figure
An analytical law for size effects on thermal conductivity of nanostructures
The thermal conductivity of a nanostructure is sensitive to its dimensions. A
simple analytical scaling law that predicts how conductivity changes with the
dimensions of the structure, however, has not been developed. The lack of such
a law is a hurdle in "phonon engineering" of many important applications. Here,
we report an analytical scaling law for thermal conductivity of nanostructures
as a function of their dimensions. We have verified the law using very large
molecular dynamics simulations
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