7,894 research outputs found
Number-Phase Wigner Representation for Efficient Stochastic Simulations
Phase-space representations based on coherent states (P, Q, Wigner) have been
successful in the creation of stochastic differential equations (SDEs) for the
efficient stochastic simulation of high dimensional quantum systems. However
many problems using these techniques remain intractable over long integrations
times. We present a number-phase Wigner representation that can be unraveled
into SDEs. We demonstrate convergence to the correct solution for an anharmonic
oscillator with small dampening for significantly longer than other phase space
representations. This process requires an effective sampling of a non-classical
probability distribution. We describe and demonstrate a method of achieving
this sampling using stochastic weights.Comment: 7 pages, 1 figur
Number-Phase Wigner Representation for Scalable Stochastic Simulations of Controlled Quantum Systems
Simulation of conditional master equations is important to describe systems
under continuous measurement and for the design of control strategies in
quantum systems. For large bosonic systems, such as BEC and atom lasers, full
quantum field simulations must rely on scalable stochastic methods whose
convergence time is restricted by the use of representations based on coherent
states. Here we show that typical measurements on atom-optical systems have a
common form that allows for an efficient simulation using the number-phase
Wigner (NPW) phase-space representation. We demonstrate that a stochastic
method based on the NPW can converge over an order of magnitude longer and more
precisely than its coherent equivalent. This opens the possibility of realistic
simulations of controlled multi-mode quantum systems.Comment: 5 pages, 1 figur
Quantum Kinetic Theory VI: The Growth of a Bose-Einstein Condensate
A detailed analysis of the growth of a BEC is given, based on quantum kinetic
theory, in which we take account of the evolution of the occupations of lower
trap levels, and of the full Bose-Einstein formula for the occupations of
higher trap levels, as well as the Bose stimulated direct transfer of atoms to
the condensate level introduced by Gardiner et al. We find good agreement with
experiment at higher temperatures, but at lower temperatures the experimentally
observed growth rate is somewhat more rapid. We also confirm the picture of the
``kinetic'' region of evolution, introduced by Kagan et al., for the time up to
the initiation of the condensate. The behavior after initiation essentially
follows our original growth equation, but with a substantially increased rate
coefficient.
Our modelling of growth implicitly gives a model of the spatial shape of the
condensate vapor system as the condensate grows, and thus provides an
alternative to the present phenomenological fitting procedure, based on the sum
of a zero-chemical potential vapor and a Thomas-Fermi shaped condensate. Our
method may give substantially different results for condensate numbers and
temperatures obtained from phenomentological fits, and indicates the need for
more systematic investigation of the growth dynamics of the condensate from a
supersaturated vapor.Comment: TeX source; 29 Pages including 26 PostScript figure
Quantum kinetic theory VII: The influence of vapor dynamics on condensate growth
We extend earlier models of the growth of a Bose-Einstein condensate to
include the full dynamical effects of the thermal cloud by numerically solving
a modified quantum Boltzmann equation. We determine the regime in which the
assumptions of the simple model are a reasonable approximation, and compare our
new results with those that were earlier compared with experimental data. We
find good agreement with our earlier modelling, except at higher condensate
fractions, for which a significant speedup is found. We also investigate the
effect of temperature on condensate growth, and find that this has a
surprisingly small effect.
The discrepancy between theory and experiment remains, since the speedup
found in these computations does not occur in the parameter regime specified in
the the experiment.Comment: Fourteen pages, TeX source with 11 figures. Changes : Extended
section on formalism to include a derivation of the ergodic Boltzmann
equation that we use, and a fuller explanation of the numerical methods.
Explained more fully the possible errors with the experimental data. Added
section detailing the source of possible errors in this formulation. Added
comparison of our work with the manuscript cond-mat/0001323, and some
analysis of the fits to the MIT growth curve
Lower limit on the achievable temperature in resonator-based sideband cooling
A resonator can be effectively used as a cooler for another linear oscillator
with a much smaller frequency. A huge cooling effect, which could be used to
cool a mechanical oscillator below the energy of quantum fluctuations, has been
predicted by several authors. However, here we show that there is a lower limit
T* on the achievable temperature that was not considered in previous works and
can be higher than the quantum limit in realistic experimental realizations. We
also point out that the decay rate of the resonator, which previous studies
stress should be small, must be larger than the decay rate of the cooled
oscillator for effective cooling.Comment: 6 pages, 4 figures, uses psfra
Concentration fluctuations of large Stokes number particles in a one-dimensional random velocity field
We analyze the behavior of an ensemble of inertial particles in a
one-dimensional smooth Gaussian velocity field, in the limit of large inertia,
but considering a finite correlation time for the random field. We derive in
this limit a perturbative scheme for the calculation of the concentration
correlation and of the particle relative velocity distribution, providing
analytical expressions for the concentration fluctuation amplitude, its
correlation length, and the modification in the particle pair relative velocity
variance. The amplitude of the concentration fluctuations is characterized by
slow decay at large inertia and a much larger correlation length than that of
the random field. The fluctuation structure in velocity space is very different
from predictions from short-time correlated random velocity fields, with only
few particle pairs crossing at sufficiently small relative velocity to produce
correlations. Concentration fluctuations are associated with depletion of the
relative velocity variance of colliding particles.Comment: 8 pages, 1 figure, revtex
Bluetongue of sheep
BLUETONGUE is a serious disease of sheep, mainly of introduced European breeds, throughout the African continent.
It is maintained there by wild and domestic ruminants in the presence of certain insect vectors (carriers).
The disease has probably existed there from immemorial times among the indigenous ruminants, emerging as a recognised disease only when the much more susceptible European breeds were brought into the continent
Swine erysipelas : a newly reported disease of pigs in Western Australia
RECORDED in Western Australia for the first time last year, swine erysipelas is a potential menace to the pig raising industry.
This preliminary description is given to help farmers recognise its occurrence. I t is not known how widespread the disease might be, and farmers\u27 co-operation is needed to estimate its extent.
Any suspected cases should be reported without delay
Calfhood diseases. 2. Respiratory and nutritional deficiency diseases
MOST of the common organisms found in the environment of calf sheds and yards may at times be responsible for respiratory infections, to which the young animal is very susceptible
Calfhood diseases. 1. Gastro-intestinal diseases
CALFHOOD disease may be divided for convenience into three main categories:
• Those affecting the gastro-intestinal tract, including diseases of an infectious nature and those arising as a result of infestation by worms (parasitism).
• Those affecting the respiratory system, including lungworms.
• Those resulting from nutritional deficiencies, especially vitamins and minerals
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