Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models

We investigate disordered one- and two-dimensional Heisenberg spin lattices across a transition from integrability to quantum chaos from both a statistical many-body and a quantum-information perspective. Special emphasis is devoted to quantitatively exploring the interplay between eigenvector statistics, delocalization, and entanglement in the presence of nontrivial symmetries. The implications of basis dependence of state delocalization indicators (such as the number of principal components) is addressed, and a measure of {\em relative delocalization} is proposed in order to robustly characterize the onset of chaos in the presence of disorder. Both standard multipartite and {\em generalized entanglement} are investigated in a wide parameter regime by using a family of spin- and fermion- purity measures, their dependence on delocalization and on energy spectrum statistics being examined. A distinctive {\em correlation between entanglement, delocalization, and integrability} is uncovered, which may be generic to systems described by the two-body random ensemble and may point to a new diagnostic tool for quantum chaos. Analytical estimates for typical entanglement of random pure states restricted to a proper subspace of the full Hilbert space are also established and compared with random matrix theory predictions.Comment: 17 pages, 10 figures, revised versio

Standard and Null Weak Values

Weak value (WV) is a quantum mechanical measurement protocol, proposed by Aharonov, Albert, and Vaidman. It consists of a weak measurement, which is weighed in, conditional on the outcome of a later, strong measurement. Here we define another two-step measurement protocol, null weak value (NVW), and point out its advantages as compared to WV. We present two alternative derivations of NWVs and compare them to the corresponding derivations of WVs.Comment: 11 pages, 2 figures. To appear in Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrif

The Incidence of X-ray selected AGN in Nearby Galaxies

We present the identification and analysis of an unbiased sample of AGN that lie within the local galaxy population. Using the MPA-JHU catalogue (based on SDSS DR8) and 3XMM DR7 we define a parent sample of 25,949 local galaxies ($z \leq 0.33$). After confirming that there was strictly no AGN light contaminating stellar mass and star-formation rate calculations, we identified 917 galaxies with central, excess X-ray emission likely originating from an AGN. We analysed their optical emission lines using the BPT diagnostic and confirmed that such techniques are more effective at reliably identifying sources as AGN in higher mass galaxies: rising from 30% agreement in the lowest mass bin to 93% in the highest. We then calculated the growth rates of the black holes powering these AGN in terms of their specific accretion rates ($\propto L_X/M_*$). Our sample exhibits a wide range of accretion rates, with the majority accreting at rates $\leq 0.5\%$ of their Eddington luminosity. Finally, we used our sample to calculate the incidence of AGN as a function of stellar mass and redshift. After correcting for the varying sensitivity of 3XMM, we split the galaxy sample by stellar mass and redshift and investigated the AGN fraction as a function of X-ray luminosity and specific black hole accretion rate. From this we found the fraction of galaxies hosting AGN above a fixed specific accretion rate limit of $10^{-3.5}$ is constant (at $\approx 1\%$) over stellar masses of $8 < \log \mathrm{M_*/M_\odot} < 12$ and increases (from $\approx 1\%$ to $10\%$) with redshift.Comment: 18 pages, 10 figures, 2 appendices. Accepted for publication in MNRA

Demand for Self-Managed Online Telemedicine Abortion in the United States During the Coronavirus Disease 2019 (COVID-19) Pandemic.

For many in the United States, abortion care is already difficult to access,1 and the coronavirus disease 2019 (COVID-19) pandemic has created yet more potential barriers—including infection risk at clinics and state policies limiting in-clinic services. The severity of these state policies varies, but, in the most extreme case, Texas effectively suspended all abortions for approximately 4 weeks.2 As a result, people may increasingly be seeking self-managed abortion outside the formal health care system. Using data from Aid Access, the sole online abortion telemedicine service in the United States, we assessed whether demand for self-managed medication abortion increased as in-clinic access became more challenging

The Swift X-Ray Telescope: Status and Performance

We present science highlights and performance from the Swift X-ray Telescope (XRT), which was launched on November 20, 2004. The XRT covers the 0.2-10 keV band, and spends most of its time observing gamma-ray burst (GRB)afterglows, though it has also performed observations of many other objects. By mid-August 2007, the XRT had observed over 220 GRB afterglows, detecting about 96% of them. The XRT positions enable followup ground-based optical observations, with roughly 60% of the afterglows detected at optical or near IR wavelengths. Redshifts are measured for 33% of X-ray afterglows. Science highlights include the discovery of flaring behavior at quite late times, with implications for GRB central engines; localization of short GRBs, leading to observational support for compact merger progenitors for this class of bursts; a mysterious plateau phase to GRB afterglows; as well as many other interesting observations such as X-ray emission from comets, novae, galactic transients, and other objects.Comment: 9 pages, 14 figure

Sexuality Education Websites for Adolescents: A Framework-Based Content Analysis

The web has unique potential for adolescents seeking comprehensive sexual health information. As such, it is important to understand the nature, scope, and readability of the content and messaging provided by sexuality educational websites. We conducted a content analysis of 14 sexuality education websites for adolescents, based on the 7 essential components (sexual and reproductive health and HIV, relationships, sexual rights and sexual citizenship, pleasure, violence, diversity, and gender) of the International Planned Parenthood Framework for Comprehensive Sexuality Education. A majority of content across all sites focused on sexual and reproductive health and HIV, particularly pregnancy and STI prevention, and other information about STIs and HIV. No other topic comprised more than 10% of content coverage across a majority of sites. The authors found little discussion of gender issues, sexual rights, sexual diversity, or sexual violence. Most sites provided brief references to sexual pleasure, generally moderated with cautionary words. The language used implied a heterosexual female audience. Reading levels for most sites were above the 9th-grade level, with several at the college level. These findings have implications for enhancing online sexuality education and broadening the coverage of essential topics

Gastric wall abscess – an uncommon condition treated by an alternative form

OBJECTIVE: This review of original reports on metabolic and infectious diseases that were recently published in Brazilian journals is designed to inform the readership of CLINICS about their content. METHODS: I conducted a search in PubMed for original research articles (clinical or basic research) recently published (2008-2009) by Brazilian medical and biological periodicals. Papers on metabolic pathologies were retrieved by searching for appropriate keywords such as metabolic syndrome and obesity. Papers on infectious disease were obtained by entering 15 different keywords for the most commonly occurring pathologies. Review articles, editorials, letters to the editor, and case reports were manually excluded. Selected titles were then categorized into appropriate sub-categories. RESULTS: This search produced a total of 123 articles, which filtered down to 72 articles after eliminating editorials, review articles, letters to the Editor and case reports. Reviewed periodicals were Arquivos Brasileiros de Cardiologia, Arquivos Brasileiros de Endocrinologia e Metabologia, Brazilian Journal of Biological and Medical Research, Brazilian Journal of Infectious Diseases, Jornal de Pediatria, Jornal de Pneumologia, Revista da Associação Médica Brasileira, Revista da Escola de Enfermagem da Universidade de São Paulo, and São Paulo Medical Journal. The articles were then briefly summarized