13,505 research outputs found
Coherent population trapping and dynamical instability in the nonlinearly coupled atom-molecule system
We study the possibility of creating a coherent population trapping (CPT)
state, involving free atomic and ground molecular condensates, during the
process of associating atomic condensate into molecular condensate. We
generalize the Bogoliubov approach to this multi-component system and study the
collective excitations of the CPT state in the homogeneous limit. We develop a
set of analytical criteria based on the relationship among collisions involving
atoms and ground molecules, which are found to strongly affect the stability
properties of the CPT state, and use it to find the stability diagram and to
systematically classify various instabilities in the long-wavelength limit.Comment: 11 pages, 8 figure
Are Fruit Juice Categories Separable?
Supermarket shelves are saturated with numerous varieties and brands of juice beverages. This high level of assortment has dramatically changed beverage consumption patterns and trends throughout the United States. In fact, during 2004-2005, energy and sport drinks experienced significant increases in sales, 65.9% and 20.6 %, respectively. During the same period of time, refrigerated juice sales increased a mere 2.2%, shelved non-fruit drinks decreased 0.9%, bottled juices and cocktails both decreased 1.5 % and frozen juice decreased by 12.8% (Food Industry Review 2006). The beverage industry has undergone many transformations, but consumer theory states that a shift in demand for one good has to be compensated by a shift in the opposite directions in the demand for the other good. Thus, with more brands competing for consumersâ dollars, it is important for brand managers, retailers, and other industry officials to understand demand interrelationships among various beverages. This study examines the competitiveness and structure of the beverage industry. Existing research suggests the demand for fruit beverages is independent from other food and non-food groups (Heien 1982; Lee 1984); therefore, information pertaining to other goods can be omitted without compromising the validity of the study. Our study will allow us to better understand how consumers make decisions concerning purchases patterns of beverage expenditures.Agribusiness, Agricultural and Food Policy, Farm Management, Food Consumption/Nutrition/Food Safety, Industrial Organization,
Multipartite unlockable bound entanglement in the stabilizer formalism
We find an interesting relationship between multipartite bound entangled
states and the stabilizer formalism. We prove that if a set of commuting
operators from the generalized Pauli group on qudits satisfy certain
constraints, then the maximally mixed state over the subspace stabilized by
them is an unlockable bound entangled state. Moreover, the properties of this
state, such as symmetry under permutations of parties, undistillability and
unlockability, can be easily explained from the stabilizer formalism without
tedious calculation. In particular, the four-qubit Smolin state and its recent
generalization to even number of qubits can be viewed as special examples of
our results. Finally, we extend our results to arbitrary multipartite systems
in which the dimensions of all parties may be different.Comment: 7 pages, no figur
The Impacts of Retail Promotions on the Demand for Orange Juice: A Study of a Retail Chain
This study examined the impacts of retail promotions on the demand for five brands of orange juices for a retail chain (referred to as Retailer X) and its competitors using the Rotterdam model. Results show that the combination of feature ads and displays had the largest impacts on retail revenue among the four promotional tactics considered, while temporary price reductions had no additional advertising impacts other than price impacts on retail revenues. Results also show that when Retailer X promotes an OJ brand using any of the tactics studied, a larger portion of the increased demand for the promoted brand came from reduced demand for other brands of OJ in the same store and a smaller portion came from the decreased demand in competing stores in the same trading area.Demand and Price Analysis, Marketing,
Blockspin Cluster Algorithms for Quantum Spin Systems
Cluster algorithms are developed for simulating quantum spin systems like the
one- and two-dimensional Heisenberg ferro- and anti-ferromagnets. The
corresponding two- and three-dimensional classical spin models with four-spin
couplings are maped to blockspin models with two-blockspin interactions.
Clusters of blockspins are updated collectively. The efficiency of the method
is investigated in detail for one-dimensional spin chains. Then in most cases
the new algorithms solve the problems of slowing down from which standard
algorithms are suffering.Comment: 11 page
Discrimination between pure states and mixed states
In this paper, we discuss the problem of determining whether a quantum system
is in a pure state, or in a mixed state. We apply two strategies to settle this
problem: the unambiguous discrimination and the maximum confidence
discrimination. We also proved that the optimal versions of both strategies are
equivalent. The efficiency of the discrimination is also analyzed. This scheme
also provides a method to estimate purity of quantum states, and Schmidt
numbers of composed systems
Constraining the HI-Halo Mass Relation From Galaxy Clustering
We study the dependence of galaxy clustering on atomic gas mass using a
sample of 16,000 galaxies with redshift in the range of
and HI mass of , drawn from the 70% complete sample
of the Arecibo Legacy Fast ALFA survey. We construct subsamples of galaxies
with above different thresholds, and make volume-limited
clustering measurements in terms of three statistics: the projected two-point
correlation function, the projected cross-correlation function with respect to
a reference sample selected from the Sloan Digital Sky Survey, and the
redshift-space monopole moment. In contrast to previous studies, which found
no/weak HI-mass dependence, we find both the clustering amplitude on scales
above a few Mpc and the bias factors to increase significantly with increasing
HI mass for subsamples with HI mass thresholds above . For HI
mass thresholds below , while the measurements have large
uncertainties caused by the limited survey volume and sample size, the inferred
galaxy bias factors are systematically lower than the minimum halo bias factor
from mass-selected halo samples. The simple halo model, in which galaxy content
is only determined by halo mass, has difficulties in interpreting the
clustering measurements of the HI-selected samples. We extend the simple model
by including the halo formation time as an additional parameter. A model that
puts HI-rich galaxies into halos that formed late can reproduce the clustering
measurements reasonably well. We present the implications of our best-fitting
model on the correlation of HI mass with halo mass and formation time, as well
as the halo occupation distributions and HI mass functions for central and
satellite galaxies. These results are compared with the predictions from
semi-analytic galaxy formation models and hydrodynamic galaxy formation
simulations.Comment: Accepted for publication in ApJ. The 2PCF measurements are available
at http://sdss4.shao.ac.cn/guoh
The Effect of Radiative Cooling on the Sunyaev-Zel'dovich Cluster Counts and Angular Power Spectrum: Analytic Treatment
Recently, the entropy excess detected in the central cores of groups and
clusters has been successfully interpreted as being due to radiative cooling of
the hot intragroup/intracluster gas. In such a scenario, the entropy floors
in groups/clusters at any given redshift are completely
determined by the conservation of energy. In combination with the equation of
hydrostatic equilibrium and the universal density profile for dark matter, this
allows us to derive the remaining gas distribution of groups and clusters after
the cooled material is removed. Together with the Press-Schechter mass function
we are able to evaluate effectively how radiative cooling can modify the
predictions of SZ cluster counts and power spectrum. It appears that our
analytic results are in good agreement with those found by hydrodynamical
simulations. Namely, cooling leads to a moderate decrease of the predicted SZ
cluster counts and power spectrum as compared with standard scenario. However,
without taking into account energy feedback from star formation which may
greatly suppress cooling efficiency, it is still premature to claim that this
modification is significant for the cosmological applications of cluster SZ
effect.Comment: 16 pages, 3 figures, uses aastex.cls. ApJ accepte
- âŠ