2,502 research outputs found
Polarization and frequency disentanglement of photons via stochastic polarization mode dispersion
We investigate the quantum decoherence of frequency and polarization
variables of photons via polarization mode dispersion in optical fibers. By
observing the analogy between the propagation equation of the field and the
Schr\"odinger equation, we develop a master equation under Markovian
approximation and analytically solve for the field density matrix. We identify
distinct decay behaviors for the polarization and frequency variables for
single-photon and two-photon states. For the single photon case, purity
functions indicate that complete decoherence for each variable is possible only
for infinite fiber length. For entangled two-photon states passing through
separate fibers, entanglement associated with each variable can be completely
destroyed after characteristic finite propagation distances. In particular, we
show that frequency disentanglement is independent of the initial polarization
status. For propagation of two photons in a common fiber, the evolution of a
polarization singlet state is addressed. We show that while complete
polarization disentanglement occurs at a finite propagation distance, frequency
entanglement could survive at any finite distance for gaussian states.Comment: 2 figure
Wall slip and flow of concentrated hard-sphere colloidal suspensions
We present a comprehensive study of the slip and flow of concentrated
colloidal suspensions using cone-plate rheometry and simultaneous confocal
imaging. In the colloidal glass regime, for smooth, non-stick walls, the solid
nature of the suspension causes a transition in the rheology from
Herschel-Bulkley (HB) bulk flow behavior at large stress to a Bingham-like slip
behavior at low stress, which is suppressed for sufficient colloid-wall
attraction or colloid-scale wall roughness. Visualization shows how the
slip-shear transition depends on gap size and the boundary conditions at both
walls and that partial slip persist well above the yield stress. A
phenomenological model, incorporating the Bingham slip law and HB bulk flow,
fully accounts for the behavior. Microscopically, the Bingham law is related to
a thin (sub-colloidal) lubrication layer at the wall, giving rise to a
characteristic dependence of slip parameters on particle size and
concentration. We relate this to the suspension's osmotic pressure and yield
stress and also analyze the influence of van der Waals interaction. For the
largest concentrations, we observe non-uniform flow around the yield stress, in
line with recent work on bulk shear-banding of concentrated pastes. We also
describe residual slip in concentrated liquid suspensions, where the vanishing
yield stress causes coexistence of (weak) slip and bulk shear flow for all
measured rates
Scaling of dynamics with the range of interaction in short-range attractive colloids
We numerically study the dependence of the dynamics on the range of
interaction for the short-range square well potential. We find that,
for small , dynamics scale exactly in the same way as thermodynamics,
both for Newtonian and Brownian microscopic dynamics. For interaction ranges
from a few percent down to the Baxter limit, the relative location of the
attractive glass line and the liquid-gas line does not depend on . This
proves that in this class of potentials, disordered arrested states (gels) can
be generated only as a result of a kinetically arrested phase separation.Comment: 4 pages, 4 figure
White Paper: Measuring the Neutrino Mass Hierarchy
This white paper is a condensation of a report by a committee appointed
jointly by the Nuclear Science and Physics Divisions at Lawrence Berkeley
National Laboratory (LBNL). The goal of this study was to identify the most
promising technique(s) for resolving the neutrino mass hierarchy. For the most
part, we have relied on calculations and simulations presented by the
proponents of the various experiments. We have included evaluations of the
opportunities and challenges for these experiments based on what is available
already in the literature.Comment: White paper prepared for Snowmass-201
Does gravity cause load-bearing bridges in colloidal and granular systems?
We study structures which can bear loads, "bridges", in particulate packings. To investigate the relationship between bridges and gravity, we experimentally determine bridge statistics in colloidal packings. We vary the effective magnitude and direction of gravity, volume fraction, and interactions, and find that the bridge size distributions depend only on the mean number of neighbors. We identify a universal distribution, in agreement with simulation results for granulars, suggesting that applied loads merely exploit preexisting bridges, which are inherent in dense packings
Comparative simulation study of colloidal gels and glasses
Using computer simulations, we identify the mechanisms causing aggregation
and structural arrest of colloidal suspensions interacting with a short-ranged
attraction at moderate and high densities. Two different non-ergodicity
transitions are observed. As the density is increased, a glass transition takes
place, driven by excluded volume effects. In contrast, at moderate densities,
gelation is approached as the strength of the attraction increases. At high
density and interaction strength, both transitions merge, and a logarithmic
decay in the correlation function is observed. All of these features are
correctly predicted by mode coupling theory
Influence of polydispersity on the critical parameters of an effective potential model for asymmetric hard sphere mixtures
We report a Monte Carlo simulation study of the properties of highly
asymmetric binary hard sphere mixtures. This system is treated within an
effective fluid approximation in which the large particles interact through a
depletion potential (R. Roth {\em et al}, Phys. Rev. E{\bf 62} 5360 (2000))
designed to capture the effects of a virtual sea of small particles. We
generalize this depletion potential to include the effects of explicit size
dispersity in the large particles and consider the case in which the particle
diameters are distributed according to a Schulz form having degree of
polydispersity 14%. The resulting alteration (with respect to the monodisperse
limit) of the metastable fluid-fluid critical point parameters is determined
for two values of the ratio of the diameters of the small and large particles:
and . We find that inclusion of
polydispersity moves the critical point to lower reservoir volume fractions of
the small particles and high volume fractions of the large ones. The estimated
critical point parameters are found to be in good agreement with those
predicted by a generalized corresponding states argument which provides a link
to the known critical adhesion parameter of the adhesive hard sphere model.
Finite-size scaling estimates of the cluster percolation line in the one phase
fluid region indicate that inclusion of polydispersity moves the critical point
deeper into the percolating regime. This suggests that phase separation is more
likely to be preempted by dynamical arrest in polydisperse systems.Comment: 11 pages, 10 figure
Spinodal-assisted crystallization in polymer melts
Recent experiments in some polymer melts quenched below the melting temperature have reported spinodal kinetics in small-angle x-ray scattering before the emergence of a crystalline structure. To explain these observations we propose that the coupling between density and chain conformation induces a liquid-liquid binodal within the equilibrium liquid-crystalline solid coexistence region. A simple phenomenological theory is developed to illustrate this idea, and several experimentally testable consequences are discussed. Shear is shown to enhance the kinetic role of the hidden binodal
Differential Dynamic Microscopy of Bacterial Motility
We demonstrate 'differential dynamic microscopy' (DDM) for the fast, high
throughput characterization of the dynamics of active particles. Specifically,
we characterize the swimming speed distribution and the fraction of motile
cells in suspensions of Escherichia coli bacteria. By averaging over ~10^4
cells, our results are highly accurate compared to conventional tracking. The
diffusivity of non-motile cells is enhanced by an amount proportional to the
concentration of motile cells.Comment: 4 pages, 4 figures. In this updated version we have added simulations
to support our interpretation, and changed the model for the swimming speed
probability distribution from log-normal to a Schulz distribution. Neither
modification significantly changes our conclusion
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