Quantum optimal control within the rotating wave approximation

We study the interplay between rotating wave approximation and optimal control. In particular, we show that for a wide class of optimal control problems one can choose the control field such that the Hamiltonian becomes time-independent under the rotating wave approximation. Thus, we show how to recast the functional minimization defined by the optimal control problem into a simpler multi-variable function minimization. We provide the analytic solution to the state-to-state transfer of the paradigmatic two-level system and to the more general star configuration of an $N$-level system. We demonstrate numerically the usefulness of this approach in the more general class of connected acyclic $N$-level systems with random spectra. Finally, we use it to design a protocol to entangle Rydberg via constant laser pulses atoms in an experimentally relevant range of parameters.Comment: 8 pages, 5 figure

Thermodynamic analysis of turbulent combustion in a spark ignition engine. Experimental evidence

A method independent of physical modeling assumptions is presented to analyze high speed flame photography and cylinder pressure measurements from a transparent piston spark ignition research engine. The method involves defining characteristic quantities of the phenomena of flame propagation and combustion, and estimating their values from the experimental information. Using only the pressure information, the mass fraction curves are examined. An empirical burning law is presented which simulates such curves. Statistical data for the characteristics delay and burning angles which show that cycle to cycle fractional variations are of the same order of magnitude for both angles are discussed. The enflamed and burnt mass fractions are compared as are the rates of entrainment and burning

Hate Speech and Double Standards

Many European states ban the public expression of hateful speech directed at racial and religious minorities, and an increasing number do so for anti-gay speech as well. These laws have been subjected to a wide range of legal, philosophical, and empirical investigation, but this paper explores one potential cost that has not received much attention in the literature. Statutory bans on hate speech leave democratic societies with a Hobson’s choice. If those societies ban incitements of hatred against some vulnerable groups, they will inevitably face parallel demands for protection of other such groups. If they accede to those demands, they will impose an ever-tightening vice on incontrovertible free expression values; if they do not, they will send clear signals of unequal citizenship to those groups excluded from the laws’ protection. This paper elaborates this dilemma via exploration of a range of contemporary European legal responses to homophobic and Islamophobic speech

Soaring Without Safety

When pilots and avi­ation enthusiasts find themselves in Washington, D.C., they often plan a trip to the Mall to visit the Smithsonian National Air and Space Museum. But those who love the skies might also want to walk directly across the Mall and visit the Nation­al Gallery of Art, where we recommend taking a look at one of our favorite paintings: Peter Paul Rubens\u27s The Fall of Phaeton. This piece of Ba­roque art speaks powerfully to aviators, as it shows what happens if the rules of the sky are disregarded

Structural plasticity and associative memory in balanced neural networks with spike-time dependent inhibitory plasticity

Peer reviewe

A Suzaku, NuSTAR, and XMM-Newton view on variable absorption and relativistic reflection in NGC 4151

We disentangle X-ray disk reflection from complex line-of-sight absorption in the nearby Seyfert NGC 4151, using a suite of Suzaku, NuSTAR, and XMM-Newton observations. Extending upon earlier published work, we pursue a physically motivated model using the latest angle-resolved version of the lamp-post geometry reflection model relxillCp_lp together with a Comptonization continuum. We use the long-look simultaneous Suzaku/NuSTAR observation to develop a baseline model wherein we model reflected emission as a combination of lamp-post components at the heights of 1.2 and 15.0 gravitational radii. We argue for a vertically extended corona as opposed to two compact and distinct primary sources. We find two neutral absorbers (one full-covering and one partial-covering), an ionized absorber ($\log \xi = 2.8$), and a highly-ionized ultra-fast outflow, which have all been reported previously. All analyzed spectra are well described by this baseline model. The bulk of the spectral variability between 1 keV and 6 keV can be accounted for by changes in the column density of both neutral absorbers, which appear to be degenerate and inversely correlated with the variable hard continuum component flux. We track variability in absorption on both short (2 d) and long ($\sim$1 yr) timescales; the observed evolution is either consistent with changes in the absorber structure (clumpy absorber at distances ranging from the broad line region (BLR) to the inner torus or a dusty radiatively driven wind) or a geometrically stable neutral absorber that becomes increasingly ionized at a rising flux level. The soft X-rays below 1 keV are dominated by photoionized emission from extended gas that may act as a warm mirror for the nuclear radiation.Comment: 21 pages, 19 figures, 8 tables, accepted for publication by A&

Stochastic Transition States: Reaction Geometry amidst Noise

Classical transition state theory (TST) is the cornerstone of reaction rate theory. It postulates a partition of phase space into reactant and product regions, which are separated by a dividing surface that reactive trajectories must cross. In order not to overestimate the reaction rate, the dynamics must be free of recrossings of the dividing surface. This no-recrossing rule is difficult (and sometimes impossible) to enforce, however, when a chemical reaction takes place in a fluctuating environment such as a liquid. High-accuracy approximations to the rate are well known when the solvent forces are treated using stochastic representations, though again, exact no-recrossing surfaces have not been available. To generalize the exact limit of TST to reactive systems driven by noise, we introduce a time-dependent dividing surface that is stochastically moving in phase space such that it is crossed once and only once by each transition path

Half a Century of Supreme Court Clean Air Act Interpretation: Purposivism, Textualism, Dynamism, and Activism

This Article addresses the history of the Supreme Court’s interpretation of the Clean Air Act, which now goes back almost half a century. Many scholars have argued that the Court has shifted from an approach to statutory interpretation that relied heavily on purposivism—the custom of giving statutory goals weight in interpreting statutes—toward one that relies more heavily on textualism during this period. At the same time, proponents of dynamic statutory interpretation have argued that courts, in many cases, do not so much excavate a statute’s meaning as adapt a statute to contemporary circumstances