47,192 research outputs found
Charmonium properties in hot quenched lattice QCD
We study the properties of charmonium states at finite temperature in
quenched QCD on large and fine isotropic lattices. We perform a detailed
analysis of charmonium correlation and spectral functions both below and above
. Our analysis suggests that both S wave states ( and )
and P wave states ( and ) disappear already at about . The charm diffusion coefficient is estimated through the Kubo formula and
found to be compatible with zero below and approximately at
.Comment: 32 pages, 19 figures, typo corrected, discussions on isotropic vs
anisotropic lattices expanded, published versio
Heavy Quark diffusion from lattice QCD spectral functions
We analyze the low frequency part of charmonium spectral functions on large
lattices close to the continuum limit in the temperature region as well as for . We present evidence for the
existence of a transport peak above and its absence below . The
heavy quark diffusion constant is then estimated using the Kubo formula. As
part of the calculation we also determine the temperature dependence of the
signature for the charmonium bound state in the spectral function and discuss
the fate of charmonium states in the hot medium.Comment: 4 pages, Proceedings for Quark Matter 2011 Conference, May 23-28,
2011, Annecy, Franc
Quantum dynamics in weak and strong fields measured by XUV nonlinear spectroscopy
In this work fundamental nonlinear dynamics inside the neon atom are studied in two respects: At first, correlations between electronic inner-shell excitations in the extreme-ultraviolet (XUV) spectral range are probed on their natural sub-femtosecond time scale. To this end, the concept of attosecond transient absorption with a highharmonic generated (HHG) attosecond and a single time-delayed moderately strong nearinfrared (NIR) pulse was extended by a third, perturbative NIR pulse to perform timeresolved four-wave-mixing spectroscopy. This allowed to retrieve coupling dynamics between states of odd and even parity in a two-dimensional spectral representation. While the first part of this work explores the sequential interaction of several weak and moderately strong, fully coherent laser pulses with the target neon, the second part addresses the impact of strong, partially-coherent fields delivered by the XUV free-electron laser in Hamburg (FLASH). For this purpose, a novel beamline setup was developed and assembled at FLASH which allowed to perform first XUV-pump—XUV-probe transient absorption measurements. The measurements revealed the time-delay and intensity-dependent control of sequential ionization processes, coherence-enhancement effects, and strongcoupling signatures of bound—bound transitions in doubly-ionized neon. For the interpretation of the experimental results numerical simulations based on quantum mechanical few-level models were employed. Future applications of this method involve the two-dimensional spectroscopy both with HHG and FLASH pulses to probe site-specific information of electronic processes in molecules
The evolution of the cover time
The cover time of a graph is a celebrated example of a parameter that is easy
to approximate using a randomized algorithm, but for which no constant factor
deterministic polynomial time approximation is known. A breakthrough due to
Kahn, Kim, Lovasz and Vu yielded a (log log n)^2 polynomial time approximation.
We refine this upper bound, and show that the resulting bound is sharp and
explicitly computable in random graphs. Cooper and Frieze showed that the cover
time of the largest component of the Erdos-Renyi random graph G(n,c/n) in the
supercritical regime with c>1 fixed, is asymptotic to f(c) n \log^2 n, where
f(c) tends to 1 as c tends to 1. However, our new bound implies that the cover
time for the critical Erdos-Renyi random graph G(n,1/n) has order n, and shows
how the cover time evolves from the critical window to the supercritical phase.
Our general estimate also yields the order of the cover time for a variety of
other concrete graphs, including critical percolation clusters on the Hamming
hypercube {0,1}^n, on high-girth expanders, and on tori Z_n^d for fixed large
d. For the graphs we consider, our results show that the blanket time,
introduced by Winkler and Zuckerman, is within a constant factor of the cover
time. Finally, we prove that for any connected graph, adding an edge can
increase the cover time by at most a factor of 4.Comment: 14 pages, to appear in CP
BCS-like Bogoliubov Quasiparticles in High-Tc Superconductors Observed by Angle-Resolved Photoemission Spectroscopy
We performed high-resolution angle-resolved photoemission spectroscopy on
triple-layered high-Tc cuprate Bi2Sr2Ca2Cu3O10+delta. We have observed the full
energy dispersion (electron and hole branches) of Bogoliubov quasiparticles and
determined the coherence factors above and below EF as a function of momentum
from the spectral intensity as well as from the energy dispersion based on BCS
theory. The good quantitative agreement between the experiment and the
theoretical prediction suggests the basic validity of BCS formalism in
describing the superconducting state of cuprates.Comment: 4 pages, 3 figure
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