Measuring measurement--disturbance relationships with weak values

Using formal definitions for measurement precision {\epsilon} and disturbance (measurement backaction) {\eta}, Ozawa [Phys. Rev. A 67, 042105 (2003)] has shown that Heisenberg's claimed relation between these quantities is false in general. Here we show that the quantities introduced by Ozawa can be determined experimentally, using no prior knowledge of the measurement under investigation --- both quantities correspond to the root-mean-squared difference given by a weak-valued probability distribution. We propose a simple three-qubit experiment which would illustrate the failure of Heisenberg's measurement--disturbance relation, and the validity of an alternative relation proposed by Ozawa

A double-slit `which-way' experiment on the complementarity--uncertainty debate

A which-way measurement in Young's double-slit will destroy the interference pattern. Bohr claimed this complementarity between wave- and particle behaviour is enforced by Heisenberg's uncertainty principle: distinguishing two positions a distance s apart transfers a random momentum q \sim \hbar/s to the particle. This claim has been subject to debate: Scully et al. asserted that in some situations interference can be destroyed with no momentum transfer, while Storey et al. asserted that Bohr's stance is always valid. We address this issue using the experimental technique of weak measurement. We measure a distribution for q that spreads well beyond [-\hbar/s, \hbar/s], but nevertheless has a variance consistent with zero. This weakvalued momentum-transfer distribution P_{wv}(q) thus reflects both sides of the debate.Comment: 13 pages, 4 figure

Scale-free equilibria of self-gravitating gaseous disks with flat rotation curves

We introduce exact analytical solutions of the steady-state hydrodynamic equations of scale-free, self-gravitating gaseous disks with flat rotation curves. We express the velocity field in terms of a stream function and obtain a third-order ordinary differential equation (ODE) for the angular part of the stream function. We present the closed-form solutions of the obtained ODE and construct hydrodynamical counterparts of the power-law and elliptic disks, for which self-consistent stellar dynamical models are known. We show that the kinematics of the Large Magellanic Cloud can well be explained by our findings for scale-free elliptic disks.Comment: AAS preprint format, 21 pages, 8 figures, accepted for publication in The Astrophysical Journa

The genetics of intellectual disability: advancing technology and gene editing [version 1; peer review: 2 approved]

Intellectual disability (ID) is a neurodevelopmental condition affecting 1–3% of the world’s population. Genetic factors play a key role causing the congenital limitations in intellectual functioning and adaptive behavior. The heterogeneity of ID makes it more challenging for genetic and clinical diagnosis, but the advent of large-scale genome sequencing projects in a trio approach has proven very effective. However, many variants are still difficult to interpret. A combined approach of next-generation sequencing and functional, electrophysiological, and bioinformatics analysis has identified new ways to understand the causes of ID and help to interpret novel ID-causing genes. This approach offers new targets for ID therapy and increases the efficiency of ID diagnosis. The most recent functional advancements and new gene editing techniques involving the use of CRISPR–Cas9 allow for targeted editing of DNA in in vitro and more effective mammalian and human tissue-derived disease models. The expansion of genomic analysis of ID patients in diverse and ancient populations can reveal rare novel disease-causing genes

Petrology and petrogenesis of Kamtal Intrusion Eastern Azarbaijan, NW Ian

Abstract The Kamtal Intrusion is located in Eastern Azarbaijan province, northwestern Iran, near the Armenian border. This body consists of an acidic part of monzogranitic composition, and an intermediate-basic part which is composed of quartz-monzonite and gabbro. The gabbro forms lenses within the intermediate rocks. Monzogranite has been intruded into the quartz-monzonite. Both monzogranites and quartz-monzonites are high-K calk-alkaline and metaluminous in composition and can be classified as I-type granitoids, while the gabbro has tholeiitic affinity. Monzogranite and quartz-monzonite are characterized by LREE-rich patterns and high LREE/HREE ratios. The similarities of their REE patterns suggest a genetic relationship among these rocks. The geochemical characters of the gabbro types indicate two different patterns: a flat pattern with low LREE/HREE ratio, and a steep pattern with high LREE/HREE ratio. The former was probably produced by high melting ratio of a depleted mantle source, and the steep pattern probably was the result of a low melting ratio of this mantle source. Negative anomalies of Nb and Ti can be seen in all rock types of the Kamtal Intrusion, which is indicative of subduction zones. The comparison of trace element variations with granitoid rocks of different tectonic settings allows observing a similarity between the Kamtal Intrusion and Andean volcanic arc granitoids. The Kamtal body is related to the VAG tectonic setting and was probably produced as a result of Khoy back-arc basin subduction beneath the Azerbaijan continental crust

Determination of the light exposure on the photodiodes of a new instrumented baffle for the Virgo input mode cleaner end-mirror

As part of the upgrade program of the Advanced Virgo interferometer, the installation of new instrumented baffles surrounding the main test masses is foreseen. As a demonstrator, and to validate the technology, the existing baffle in the area of the input mode cleaner end-mirror will be first replaced by a baffle equipped with photodiodes. This paper presents detailed simulations of the light distribution on the input mode cleaner baffle, with the aim to determine the light exposure of the photodiodes under different scenarios of the interferometer operation.Comment: 9 pages and 8 figure

Determination of the light exposure on the photodiodes of a new instrumented baffle for the Virgo input mode cleaner end-mirror

As part of the upgrade program of the advanced Virgo interferometer, the installation of new instrumented baffles surrounding the main test masses is foreseen. As a demonstrator, and to validate the technology, the existing baffle in the area of the input mode cleaner end-mirror will be first replaced by a baffle equipped with photodiodes. This paper presents detailed simulations of the light distribution on the input mode cleaner baffle. They served to validate the proposed layout of the sensors in the baffle, and determine the light exposure of the photodiodes under different scenarios of the interferometer operations, in order to define mitigation strategies for preserving the detector integrity

A Recurrent Intragenic Deletion in the Desmoglein 4 Gene Underlies Localized Autosomal Recessive Hypotrichosis

6 páginas, 2 figuras.A newly defined form of inherited hair loss, named localized autosomal recessive hypotrichosis (LAH, OMIM 607903), was recently described in the literature (Kljuic et al. 2003a; Rafique et al. 2003) and shown to be linked to chromosome 18. We identified a large, intragenic deletion in the desmoglein 4 gene (DSG4) as the underlying mutation in two unrelated families of Pakistani origin (Kljuic et al. 2003a). LAH is an autosomal recessive form of hypotrichosis affecting the scalp, trunk, and extremities, and largely sparing the facial, pubic, and axillary hair. Typical hairs are fragile and break easily, leaving short sparse scalp hairs with a characteristic appearance. Using comparative genomics, we also demonstrated that human LAH is allelic with the lanceolate hair (lah) mouse (Kljuic et al. 2003a), as well as the lanceolate hair (lah) rat phenotype (Jahoda et al. 2004). In order to expand the series of allelic mutations in the desmoglein 4 gene underlying LAH in humans, we begin molecular analysis of DSG4 in families from around the world. Here, we describe the study of a family of Pakistani origin with two siblings affected with LAH (Figure 1).This study was supported in part by grants USPHS NIH R01-AR44924 and the March of Dimes Birth Defects Foundation (A. M. C.).Peer reviewe