30,272 research outputs found
Free-Knot Spline Approximation of Stochastic Processes
We study optimal approximation of stochastic processes by polynomial splines
with free knots. The number of free knots is either a priori fixed or may
depend on the particular trajectory. For the -fold integrated Wiener process
as well as for scalar diffusion processes we determine the asymptotic behavior
of the average -distance to the splines spaces, as the (expected) number
of free knots tends to infinity.Comment: 23 page
Monte Carlo Simulation of Long Chain Polymer Melts: Crossover from Rouse to Reptation Dynamics
We present data of Monte Carlo simulations for monodisperse linear polymer
chains in dense melts with degrees of polymerization between N=16 and N=512.
The aim of this study is to investigate the crossover from Rouse-like dynamics
for short chains to reptation-like dynamics for long chains. To address this
problem we calculate a variety of different quantities: standard mean-square
displacements of inner monomers and of the chain's center of mass, the recently
proposed cubic invariant, persistence of bond-vector orientation with time, and
the auto-correlation functions of the bond vector, the end-to-end vector and
the Rouse modes. This analysis reveals that the crossover from non- to
entangled dynamics is very protracted. Only the largest chain length N=512,
which is about 13 times larger than the entanglement length, shows evidence for
reptation.Comment: 38 pages of REVTeX, 14 PostScript figure
Two-body recombination in a quantum mechanical lattice gas: Entropy generation and probing of short-range magnetic correlations
We study entropy generation in a one-dimensional (1D) model of bosons in an
optical lattice experiencing two-particle losses. Such heating is a major
impediment to observing exotic low temperature states, and "simulating"
condensed matter systems. Developing intuition through numerical simulations,
we present a simple empirical model for the entropy produced in this 1D
setting. We also explore the time evolution of one and two particle correlation
functions, showing that they are robust against two-particle loss. Because of
this robustness, induced two-body losses can be used as a probe of short range
magnetic correlations.Comment: 6 pages, 3 figures - v4, published versio
Notes from the 3rd Axion Strategy Meeting
In this note we briefly summarize the main future targets and strategies for
axion and general low energy particle physics identified in the "3rd axion
strategy meeting" held during the AXIONS 2010 workshop. This summary follows a
wide discussion with contributions from many of the workshop attendees.Comment: 5 pages, 1 figur
Stirring trapped atoms into fractional quantum Hall puddles
We theoretically explore the generation of few-body analogs of fractional
quantum Hall states. We consider an array of identical few-atom clusters
(n=2,3,4), each cluster trapped at the node of an optical lattice. By
temporally varying the amplitude and phase of the trapping lasers, one can
introduce a rotating deformation at each site. We analyze protocols for
coherently transferring ground state clusters into highly correlated states,
producing theoretical fidelities in excess of 99%.Comment: 4 pages, 3 figures (13 subfigures) -- v2: published versio
- …