A size criterion for macroscopic superposition states

An operational measure to quantify the sizes of some ``macroscopic quantum superpositions'', realized in recent experiments, is proposed. The measure is based on the fact that a superposition presents greater sensitivity in interferometric applications than its superposed constituent states. This enhanced sensitivity, or ``interference utility'', may then be used as a size criterion among superpositions.Comment: LaTeX2e-REVTeX4, 9 pages, 3 figures. V2: introduction and discussion slightly altere

Paired composite fermion phase of quantum Hall bilayers at \nu = 1/2 + 1/2

We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $\nu=1/2 + 1/2$ for intermediate spacing between the layers. We identify the phase as $p_x + i p_y$ pairing, and construct high accuracy trial wavefunctions to describe the groundstate on the sphere. For large distances between the layers, and for finite systems, a competing "Hund's rule" state, or composite fermion liquid, prevails for certain system sizes. We argue that for larger systems, the pairing phase will persist to larger layer spacing.Comment: 4 pages, 2 figures; v2: final version, as published in journa

Time-dependent magnetotransport of a wave packet in a quantum wire with embedded quantum dots

We consider wave packet propagation in a quantum wire with either an embedded antidot or an embedded parallel double open quantum dot under the influence of a uniform magnetic field. The magnetoconductance and the time evolution of an electron wave packet are calculated based on the Lippmann-Schwinger formalism. This approach allows us to look at arbitrary embedded potential profiles and illustrate the results by performing computational simulations for the conductance and the time evolution of the electron wave packet through the quantum wire. In the double-dot system we observe a long-lived resonance state that enhances the spatial spreading of the wave packet, and quantum skipping-like trajectories are induced when the envelop function of the wave packet covers several subbands in appropriate magnetic fields.Comment: RevTeX, 9 pages with 8 included postscript figure

Borel Degenerations of Arithmetically Cohen-Macaulay curves in P^3

We investigate Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay (ACM) codimension two schemes in P^n. We give a basic necessary criterion for a Borel ideal to be on such a component. Then considering ACM curves in P^3 on a quadric we compute in several examples all the Borel ideals on their Hilbert scheme component. Based on this we conjecture which Borel ideals are on such a component, and for a range of Borel ideals we prove that they are on the component.Comment: 20 pages, shorter and more effective versio

Avalanche defences for Flateyri, Iceland. From hazard evaluation to construction of defences.

The village of Flateyri was hit by two major avalanches in 1995, with the latter one killing 20 of the 45 people caught in it. These, together with the catastrophic avalanche in the nearby Súôavík in January the same year, initiated a complete review of all government actions and regulations regarding avalanche risk and avalanche defences in Iceland. The government set a long term goal for the acceptable risk to people living in avalanche prone areas and increased funding for the construction of avalanche defences. The avalanche situation in Flateyri is quite serious and the risk the inhabitants live with is very high. The town is threatened by avalanches from two gullies, Innra-Bæjargil in the north-west and Skollahvilft in the north-east, with several records of avalanches reaching well into the present residential area. To fulfil the safety requirements, an appraisal study was carried out and a proposal made for avalanche defences for the community, consisting of two earthfill deflecting dams and an earthfill catching dam. The proposal was accepted by the local authorities and the Icelandic government in the spring of 1996, design work was carried out in that summer and construction work started in September 1996. The construction of the dams is now close to completion, two years after the accident

Characterization of Particulate Matter Accumulated on Ramalina farinacea in the Seattle Area Using Semi-Automated Electron Microscopy

Semi-automated scanning electron microscopy (SEM) with energy-dispersive X-ray spectroscopy (EDS) can be used to determine the size and composition of filtered particulate matter (PM). This information is valuable for determining the identity and contribution of overlapping air emissions. One limitation of this method is the cost of filtering PM at enough locations to give meaningful spatial data. To address this limitation, I developed an exploratory method to collect PM using Ramalina farinacea for semi-automated SEM analysis as a component of lichen biomonitoring studies. I applied this method as a proof of concept in the Seattle area to better understand trends in regional urban dust. To do this, bags of lichen were transplanted to 9 locations in the Duwamish Valley and adjacent uplands for 3 months between September and December, 2017. Some of these locations were arranged close to major industrial sources of airborne metals, which we hypothesized would contribute to the PM observed on the lichens alongside the regional background signature of particulate emissions. Upon collection, PM deposition on the lichen was characterized using SEM with EDS. A total of 18,581 particles were identified and analyzed using the PACLA for Oxford two-stage classifier. My findings suggest that R. farinacea are an effective tool for collecting PM and show the greatest proportion of anthropogenic-specific particles on lichens adjacent to Interstate 5. Furthermore, the spatial trends of PM between locations suggest that fugitive dust controls such as green walls and green spaces may be more effective than point source controls at further reducing exposure to harmful dust in the Seattle area

Entanglement quantification through local observable correlations

We present a significantly improved scheme of entanglement detection inspired by local uncertainty relations for a system consisting of two qubits. Developing the underlying idea of local uncertainty relations, namely correlations, we demonstrate that it's possible to define a measure which is invariant under local unitary transformations and which is based only on local measurements. It is quite simple to implement experimentally and it allows entanglement quantification in a certain range for mixed states and exactly for pure states, without first obtaining full knowledge (e.g. through tomography) of the state.Comment: 5 pages, 3 figures, revised version with new proof and replaced figure

Economic study of the range cattle industry in Colorado

May 9, 1925.Includes bibliographical references (pages 264-297)