Echo spectroscopy of bulk Bogoliubov excitations in trapped Bose-Einstein condensates

We propose and demonstrate an echo method to reduce the inhomogeneous linewidth of Bogoliubov excitations, in a harmonically-trapped Bose-Einstein condensate. Our proposal includes the transfer of excitations with momentum +q to -q using a double two photon Bragg process, in which a substantial reduction of the inhomogeneous broadening is calculated. Furthermore, we predict an enhancement in the method's efficiency for low momentum due to many-body effects. The echo can also be implemented by using a four photon process, as is demonstrated experimentally.Comment: 4 pages, 5 figure

DNA transport by a micromachined Brownian ratchet device

We have micromachined a silicon-chip device that transports DNA with a Brownian ratchet that rectifies the Brownian motion of microscopic particles. Transport properties for a DNA 50mer agree with theoretical predictions, and the DNA diffusion constant agrees with previous experiments. This type of micromachine could provide a generic pump or separation component for DNA or other charged species as part of a microscale lab-on-a-chip. A device with reduced feature size could produce a size-based separation of DNA molecules, with applications including the detection of single nucleotide polymorphisms.Comment: Latex: 8 pages, 4 figure

A local-global principle for linear dependence of noncommutative polynomials

A set of polynomials in noncommuting variables is called locally linearly dependent if their evaluations at tuples of matrices are always linearly dependent. By a theorem of Camino, Helton, Skelton and Ye, a finite locally linearly dependent set of polynomials is linearly dependent. In this short note an alternative proof based on the theory of polynomial identities is given. The method of the proof yields generalizations to directional local linear dependence and evaluations in general algebras over fields of arbitrary characteristic. A main feature of the proof is that it makes it possible to deduce bounds on the size of the matrices where the (directional) local linear dependence needs to be tested in order to establish linear dependence.Comment: 8 page

Developing a dementia-specific preference-­based quality of life measure (AD-5D) in Australia: a valuation study protocol

Introduction: Generic instruments for assessing health-related quality of life may lack the sensitivity to detect changes in health specific to certain conditions, such as dementia. The QOL-AD is a widely used and well validated condition-specific instrument for assessing health-related quality of life for people living with dementia, but it does not enable the calculation of Quality Adjusted Life Years (QALYs), the basis of cost utility analysis. This study will generate a preference-based scoring algorithm for a health state classification system (the AD-5D) derived from the QOL-AD. Methods and analysis: Discrete choice experiments with duration (DCETTO) and best-worst scaling (BWS) health state valuation tasks will be administered to a representative sample of 2,000 members of the Australian general population via an online survey and to 250 dementia dyads (250 people with dementia and their carers) via face-to-face interview. A multinomial (conditional) logistic framework will be used to analyse responses and produce the utility algorithm for the AD-5D. Ethics and dissemination: The algorithms developed will enable prospective and retrospective economic evaluation of any treatment or intervention targeting people with dementia where the QOL-AD has been administered and will be available online. Results will be disseminated through journals that publish health economics articles and through professional conferences. The study has ethical approval

Open Problems on Central Simple Algebras

We provide a survey of past research and a list of open problems regarding central simple algebras and the Brauer group over a field, intended both for experts and for beginners.Comment: v2 has some small revisions to the text. Some items are re-numbered, compared to v

Analysis of Localization Phenomena in Weakly Interacting Disordered Lattice Gases

Disorder plays a crucial role in many systems particularly in solid state physics. However, the disorder in a particular system can usually not be chosen or controlled. We show that the unique control available for ultracold atomic gases may be used for the production and observation of disordered quantum degenerate gases. A detailed analysis of localization effects for two possible realizations of a disordered potential is presented. In a theoretical analysis clear localization effects are observed when a superlattice is used to provide a quasiperiodic disorder. The effects of localization are analyzed by investigating the superfluid fraction and the localization length within the system. The theoretical analysis in this paper paves a clear path for the future observation of Anderson-like localization in disordered quantum gases.Comment: 9 pages, 13 figure

Genomic complexity of the variable region-containing chitin-binding proteins in amphioxus

<p>Abstract</p> <p>Background</p> <p>The variable region-containing chitin-binding proteins (VCBPs) are found in protochordates and consist of two tandem immunoglobulin variable (V)-type domains and a chitin-binding domain. We previously have shown that these polymorphic genes, which primarily are expressed in the gut, exhibit characteristics of immune genes. In this report, we describe VCBP genomic organization and characterize adjacent and intervening genetic features which may influence both their polymorphism and complex transcriptional repertoire.</p> <p>Results</p> <p>VCBP genes 1, 2, 4, and 5 are encoded in a single contiguous gene-rich chromosomal region and VCBP3 is encoded in a separate locus. The VCBPs exhibit extensive haplotype variation, including copy number variation (CNV), indel polymorphism and a markedly elevated variation in repeat type and density. In at least one haplotype, inverted repeats occur more frequently than elsewhere in the genome. Multi-animal cDNA screening, as well as transcriptional profilingusing a novel transfection system, suggests that haplotype-specific transcriptional variants may contribute to VCBP genetic diversity.</p> <p>Conclusion</p> <p>The availability of the <it>Branchiostoma floridae </it>genome (Joint Genome Institute, Brafl1), along with BAC and PAC screening and sequencing described here, reveal that the relatively limited number of VCBP genes present in the amphioxus genome exhibit exceptionally high haplotype variation. These VCBP haplotypes contribute a diverse pool of allelic variants, which includes gene copy number variation, pseudogenes, and other polymorphisms, while contributing secondary effects on gene transcription as well.</p

Flight Operations of Two Rapidly Assembled CubeSats with Commercial Infrared Cameras: The Rogue-Alpha,Beta Program

The Aerospace Corporation’s Rogue-alpha, betaprogram, co-funded by the Space and Missile Systems Center’s Development Corps, is a rapid prototyping effort that built and launched two 3-Unit CubeSats equipped with modified commercial IR camera payloads, laser communications and precision pointing capabilities in 18-months. Launched on 2 November 2019, the two spacecraft were released from the ISS Cygnus NG-12 robotic resupply spacecraft on 31 January 2020 into a circular 460-km, 52° inclined orbit. The two Rogue spacecraft are serving as testbeds for studying wide-field-of-view fast-framing imaging, on-orbit stellar calibration techniques for small IR payloads, and associated spacecraft flight operations. Precision pointing is enabled by three star sensors. High data rate sensor observations are enabled by the ultra-compact 200 Mbps lasercom system, which downlinks gigabytes of stored data during a single laser contact, using The Aerospace Corporation’s prototype ground stations located in El Segundo, California. The Rogue-alpha, beta IR sensor is a 1.4 micron band, 640x512 pixel, 28° field of view, InGaAs SWIR camera. It is accompanied by a panchromatic, 10-megapixel, 37° field of view visible context camera. Modes of sensor operation have included: 1) horizon-pointed imaging in all directions relative to the spacecraft orbit (fore, aft, port, and starboard) which is designed to maximize the imaged field of view, 2) point-and-stare imaging, 3) nadir-pointed, and 4) stereo fore-aft pointing using both spacecraft. All of these modes of operation are usually conducted in multi-frame collections at 1-20hz for dozens to thousands of frames. Highlights from the Rogue-alpha, beta sensor Earth remote sensing observation experiments will be presented. These have included impressive video imagery of hurricanes, typhoons, thunderstorms, and high clouds in the intra-tropical convergence zone. Infrared and visible point sources studied include gas flares, wildfires, active volcanos, nighttime lights, and other phenomena, including the first infrared CubeSat observations of space launch upper stages in flight. Stereo cloud imaging observations were also conducted with an aim of better understanding Earth backgrounds from low Earth orbit. Highlights from the CubeSat flight operations experiments include: 1) spacecraft-to-spacecraft boresight alignment of Rogue’s lasercom systems, and 2) metric and radiometric calibration of Rogue’s flight cameras using bright infrared stars. The results from the Rogue-alpha, beta460-km orbit show the exciting possibilities for wide-field-of-view missions from low earth orbit

Optical Communications Downlink from a 1.5U CubeSat: OCSD Program

NASA’s Optical Communications and Sensors Demonstration (OCSD) program and described in previous presentations, were launched in November 2017 and placed in a 450-km circular orbit. Following on-orbit checkouts and preliminary pointing calibration utilizing on-board star trackers, we have demonstrated (at the time of this manuscript submission) communications links up to 100 Mbps with bit error rates near 10-6 without any forward error correction. Further optimization of the vehicle pointing and detection electronics and operating the transmitter at its full power capacity should enable performance improvements and potential for higher data rates

Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature

Bosons in a periodic lattice with on-site disorder at low but non-zero temperature are considered within a mean-field theory. The criteria used for the definition of the superfluid, Mott insulator and Bose glass are analysed. Since the compressibility does never vanish at non-zero temperature, it can not be used as a general criterium. We show that the phases are unambiguously distinguished by the superfluid density and the density of states of the low-energy exitations. The phase diagram of the system is calculated. It is shown that even a tiny temperature leads to a significant shift of the boundary between the Bose glass and superfluid