Optomechanical position detection enhanced by de-amplification using intracavity squeezing

It has been predicted and experimentally demonstrated that by injecting squeezed light into an optomechanical device it is possible to enhance the precision of a position measurement. Here, we present a fundamentally different approach where the squeezing is created directly inside the cavity by a nonlinear medium. Counterintuitively, the enhancement of the signal to noise ratio works by de-amplifying precisely the quadrature that is sensitive to the mechanical motion without losing quantum information. This enhancement works for systems with a weak optomechanical coupling and/or strong mechanical damping. This could allow for larger mechanical bandwidth of quantum limited detectors based on optomechanical devices. Our approach can be straightforwardly extended to Quantum Non Demolition (QND) qubit detection.Comment: references added, slight change

Study to enumerate new ways to challenge bright students who are using the basal reader approach in the sixth grade

It seems that most curriculum\u27s and programs in the schools of our country are geared to the average or below average student. Each grade level has its certain skills that are to be taught using like materials. Also each student has to learn these skills in a specified amount of time. Methods and procedures seem to be about the same for each student even if the student\u27s potential says he could do and learn a lot more. The aim of this research paper is to create or unfold some new ways to challenge the bright students in the sixth grade who are using the basal reader approach. A secondary aim will be to bring out how these creative ways will benefit the superior child in the future

The Tension Between Mysticism and Erotic Sensibility in Christina Rossetti\u27s Goblin Market

Goblin Market, Christina Rossetti\u27s best-known narrative poem, appeared in 1862 as the leading poem in Goblin Market and Other Poems, a volume designed to attract the Christmas trade. Since then, the few scholars who have ventured to regard Miss Rossetti as something more than Dante Gabriel\u27s sister have concerned themselves with varied and in-depth critical interpretations of Goblin Market. William Rossetti, brother and biographer of the poet, reports that he had often heard Christina say that she meant nothing profound by the fairy tale and that Goblin Market should not be taken as an apologue. Disregarding Christina Rossetti\u27s own comment, the critics seem to ·divide themselves into three distinct groups with each presenting a different critical approach to Goblin Market

Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point

We develop perturbative methods to study and control dynamical phenomena related to exceptional points in Non-Hermitian systems. In particular, we show how to find perturbative solutions based on the Magnus expansion that accurately describe the evolution of non-Hermitian systems when encircling an exceptional point. This allows us to use the recently proposed Magnus-based strategy for control to design fast non-reciprocal, topological operations whose fidelity error is orders of magnitude smaller than their much slower adiabatic counterparts

Full photon statistics of a light beam transmitted through an optomechanical system

In this paper, we study the full statistics of photons transmitted through an optical cavity coupled to nanomechanical motion. We analyze the entire temporal evolution of the photon correlations, the Fano factor, and the effects of strong laser driving, all of which show pronounced features connected to the mechanical backaction. In the regime of single-photon strong coupling, this allows us to predict a transition from sub-Poissonian to super-Poissonian statistics for larger observation time intervals. Furthermore, we predict cascades of transmitted photons triggered by multi-photon transitions. In this regime, we observe Fano factors that are drastically enhanced due to the mechanical motion.Comment: 8 pages, 7 figure

Enhanced quantum nonlinearities in a two mode optomechanical system

In cavity optomechanics, nanomechanical motion couples to a localized optical mode. The regime of single-photon strong coupling is reached when the optical shift induced by a single phonon becomes comparable to the cavity linewidth. We consider a setup in this regime comprising two optical modes and one mechanical mode. For mechanical frequencies nearly resonant to the optical level splitting, we find the photon-phonon and the photon-photon interactions to be significantly enhanced. In addition to dispersive phonon detection in a novel regime, this offers the prospect of optomechanical photon measurement. We study these QND detection processes using both analytical and numerical approaches

Introduction to Quantum Noise, Measurement and Amplification

The topic of quantum noise has become extremely timely due to the rise of quantum information physics and the resulting interchange of ideas between the condensed matter and AMO/quantum optics communities. This review gives a pedagogical introduction to the physics of quantum noise and its connections to quantum measurement and quantum amplification. After introducing quantum noise spectra and methods for their detection, we describe the basics of weak continuous measurements. Particular attention is given to treating the standard quantum limit on linear amplifiers and position detectors using a general linear-response framework. We show how this approach relates to the standard Haus-Caves quantum limit for a bosonic amplifier known in quantum optics, and illustrate its application for the case of electrical circuits, including mesoscopic detectors and resonant cavity detectors.Comment: Substantial improvements over initial version; include supplemental appendices

French Privatizations and International Capital Markets

The 1993-1994 privatizations of French public companies have been conducted in an atmosphere of innovation among French lawmakers and politicians. The sale of French industries under French Privatization Law No. 86-912 of August 6, 1986 (as modified by Law No. 93-923 of July 19, 1993, the Privatization Law )\u27 with the use of novel financing methods has dynamized French capital markets. The Privatization Law and recent developments in French stock exchange regulations have permitted France to use privatization as a legal laboratory for testing share placement and distribution techniques developed both in France and abroad. Implementation of the Privatization Law marks a convergence of French and American marketing practices in addition to reflecting lessons learned from privatizations conducted in other countries

French Privatizations and International Capital Markets

The 1993-1994 privatizations of French public companies have been conducted in an atmosphere of innovation among French lawmakers and politicians. The sale of French industries under French Privatization Law No. 86-912 of August 6, 1986 (as modified by Law No. 93-923 of July 19, 1993, the Privatization Law )\u27 with the use of novel financing methods has dynamized French capital markets. The Privatization Law and recent developments in French stock exchange regulations have permitted France to use privatization as a legal laboratory for testing share placement and distribution techniques developed both in France and abroad. Implementation of the Privatization Law marks a convergence of French and American marketing practices in addition to reflecting lessons learned from privatizations conducted in other countries