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Quantum metrology enhances measurement precision by utilising the properties of quantum physics. In interferometry, this is typically achieved by evolving highly-entangled quantum states before performing single-shot measurements to reveal information about an unknown parameter. While this is often the optimum approach, implementation with all but the smallest states is still extremely challenging. An alternative approach is quantum jump metrology [L. A. Clark et al., Phys. Rev. A 99, 022102 (2019)] which deduces information by continuously monitoring an open quantum system, while inducing phase-dependent temporal correlations with the help of quantum feedback. Taking this approach here, we analyse measurements of a relative phase in an optical network of two cavities with quantum feedback in the form of laser pulses. It is shown that the proposed approach can exceed the standard quantum limit without the need for complex quantum states while being scalable and more practical than previous related schemes., Comment: 13 pages, 6 figures, substantially revised version, final accepted version

In the spring of 1969, a survey was conducted on the extent and nature of economic education in Oregon public high schools. The purpose of the survey was to determine the number of public high schools in the State that offer economics as a separate course, the proportion of high school students enrolled in these courses, the competence of high school economics teachers, and the role of economic education in Oregon compared to its status in other states. Approximately 1000 questionnaires were distributed to the social studies teachers of Oregon with a yield of 305 usable questionnaires which form the basis of this study. A capsule summary of the significant results reported here indicates that: 1) of the 211 public high schools, 49 offered a separate course in economics during the 1968-69 school year; 2) in those schools where economics is offered, about 8% of the student body elects to take the course; 3) slightly more than 2% of all students were enrolled in economics; 4) about 12% of the teachers had the equivalent of a major in college economics, and 18% had the equivalent of a minor; and, 5) compared to other states, economic education in Oregon high schools is about ten years behind the national norm. (Author)

We consider theoretically an electronic Mach-Zehnder interferometer constructed from quantum Hall edge channels and quantum point contacts, fed with single electrons from a dynamic quantum dot source. By considering the energy dependence of the edge-channel guide centres, we give an account of the phase averaging in this set up that is particularly relevant for the short, high-energy wavepackets injected by this type of electron source. We present both analytic and numerical results for the energy-dependent arrival time distributions of the electrons and also give an analysis of the delay times associated with the quantum point contacts and their effects on the interference patterns. A key finding is that, contrary to expectation, maximum visibility requires the interferometer arms to be different in length, with an offset of up to a micron for typical parameters. By designing interferometers that incorporate this asymmetry in their geometry, phase-averaging effects can be overcome such that visibility is only limited by other incoherent mechanisms., Comment: 12 pages; 6 figures

High-speed particle image velocimetry (HSPIV) was applied to an optical spark-ignition direct-injection engine in order to analyse various turbulent properties of the flow-field. The engine was motored at 1200 RPM with an intake pressure of 100 kPa, while HSPIV images were acquired at a sampling frequency of 5 kHz on both a vertical (tumble) plane and a horizontal (swirl) plane. The flow was decomposed in mean and fluctuating components via three different methods — ensemble averaging, spatial filtering, and temporal filtering. It was found that the velocity fluctuations calculated via the ensemble average method were more closely linked to low-frequency rather than high-frequency fluctuations, suggesting that they are more representative of cycle-to-cycle variation rather than true turbulence. Visual inspection of the high-frequency fluctuating flow-fields derived through the two filter based approaches revealed turbulent structures of similar size, shape and distribution. To equate the two filtering methods quantitatively, a spatial filter was designed with a mean flow speed scaled cut-off length, which was tuned in order to match the turbulent kinetic energy (TKE) of a 300 Hz temporal filter. A brief case study was then performed on a fuel-injected operating condition, run at the same 1200 RPM engine speed and 100 kPa intake pressure. A 1:1 split ratio dual-injection strategy was employed, with the first injection at 300°CA bTDC and the second injection at 110°CA bTDC. The relatively late second injection was found to significantly increase both the mean and turbulent velocities present in the flow-field in comparison to the motored condition, with TKE magnitudes being ∼5 to 10 fold higher, depending on the choice of cut-off length.

This study applies particle image velocimetry (PIV) to an optical spark-ignition direct-injection engine in order to investigate the effects of fuel-injection on in-cylinder flow. Five injection timing combinations, each employing a stoichiometric 1:1 split ratio double-injection strategy, were analysed at an engine speed of 1200 RPM and an intake pressure of 100 kPa. Timings ranged from two injections in the intake stroke to two injections in the compression stroke, resulting in a variety of in-cylinder environments from well-mixed to highly turbulent. PIV images were acquired at a sampling frequency of 5 kHz on a selected swirl plane. The flow fields were decomposed into mean and fluctuating components via two spatial filtering approaches — one using a fixed 8 mm cut-off length, and the other using a mean flow speed scaled cut-off length which was tuned in order to match the turbulent kinetic energy (TKE) profile of a 300 Hz temporal filter. From engine performance tests, the in-cylinder pressure traces, indicated mean effective pressure (IMEP), and combustion phasing data showed very high sensitivity to injection timing variations. To explain the observed trend, correspondence between the measured flow and these performance parameters was evaluated. An expected global trend of increasing turbulence with retarded injection timing was clearly observed; however, relationships between TKE and burn rate were not as obvious as anticipated, suggesting that turbulence is not the predominant factor associated with injection timing variations which impacts engine performance. Stronger links were observed between bulk flow velocity and burn rate, particularly during the early stages of flame development. Injection timing was also found to have a significant impact on combustion stability, where it was observed that low-frequency flow fluctuation intensity revealed strong similarities with the coefficient of variance (CoV) of IMEP, suggesting that these fluctuations are a suitable measure of cycle-to-cycle variation — likely due to the influence of bulk flow on flame kernel development.

Due to their high energy, hot electrons in quantum Hall edge states can be considered as single particles that have the potential to be used for quantum optics-like experiments. Unlike photons, however, electrons typically undergo scattering processes in transport, which results in a loss of coherence and limits their ability to show quantum-coherent behaviour. Here we study theoretically the decoherence mechanisms of hot electrons in a Mach-Zehnder interferometer, and highlight the role played by both acoustic and optical phonon emission. We discuss optimal choices of experimental parameters and show that high visibilities of $\gtrsim 85\%$ are achievable in hot-electron devices over relatively long distances of 10 $\mu$m. We also discuss energy filtration techniques to remove decoherent electrons and show that this can increase visibilities to over $95\%$. This represents an improvement over Fermi-level electron quantum optics, and suggests hot-electron charge pumps as a platform for realising quantum-coherent nanoelectronic devices., Comment: 23 pages, 7 figures

It is well known that quantum feedback can alter the dynamics of open quantum systems dramatically. In this paper, we show that non-ergodicity may be induced through quantum feedback and resultantly create system dynamics that have lasting dependence on initial conditions. To demonstrate this, we consider an optical cavity inside an instantaneous quantum feedback loop, which can be implemented relatively easily in the laboratory. Non-ergodic quantum systems are of interest for applications in quantum information processing, quantum metrology and quantum sensing and could potentially aid the design of thermal machines whose efficiency is not limited by the laws of classical thermodynamics., 7 pages, 4 figures

We study theoretically the relaxation of hot quantum-Hall edge-channel electrons under the emission of both acoustic and optical phonons. Aiming to model recent experiments with single-electron sources, we describe simulations that provide the distribution of electron energies and arrival times at a detector a fixed distance from the source. From these simulations we extract an effective rate of emission of optical phonons that contains contributions from both a direct emission process as well as one involving inter-edge-channel transitions that are driven by the sequential emission of first an acoustic -- and then an optical -- phonon. Furthermore, we consider the mean energy loss due to acoustic phonon emission and resultant broadening of the electron energy distribution and derive an effective drift-diffusion model for this process., 11 pages; 8 figures

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model also accounts for the presence of mirror images and the possible exchange of energy between the electromagnetic field and the mirror surface. To test our model, we derive the spontaneous decay rate and the level shift of an atom in front of a semi-transparent mirror as a function of its transmission and reflection rates. When considering limiting cases and using standard approximations, our approach reproduces well-known results but it also paves the way for the modelling of more complex scenarios., 16 pages, 6 figures, improved version

Quantum metrology exploits quantum correlations in specially prepared entangled or other non-classical states to perform measurements that exceed the standard quantum limit. Typically though, such states are hard to engineer, particularly when larger numbers of resources are desired. As an alternative, this paper aims to establish quantum jump metrology which is based on generalised sequential measurements as a general design principle for quantum metrology and discusses how to exploit open quantum systems to obtain a quantum enhancement. By analysing a simple toy model, we illustrate that parameter-dependent quantum feedback can indeed be used to exceed the standard quantum limit without the need for complex state preparation., Comment: 13 pages, 8 figures

In this paper, we use the non-linear dynamics of the individual quantum trajectories of an optical cavity inside an instantaneous quantum feedback loop to measure the phase shift between two pathways of light with an accuracy above the standard quantum limit. The feedback laser provides a reference frame and constantly increases the dependence of the state of the resonator on the unknown phase. Since our quantum metrology scheme can be implemented with current technology and does not require highly-efficient single photon detectors, it should be of practical interest until highly-entangled many-photon states become more readily available., 14 pages, 11 figures, new title, improved discussion of results

There are a number of different strategies to measure the phase shift between two pathways of light more efficiently than suggested by the standard quantum limit. One way is to use highly entangled photons. Another way is to expose photons to a non-linear or interacting Hamiltonian. This paper emphasises that the conditional dynamics of open quantum systems provides an interesting additional tool for quantum-enhanced metrology. As a concrete example, we review a recent scheme which exploits the conditional dynamics of a laser-driven optical cavity with spontaneous photon emission inside a quantum feedback loop. Deducing information from second-order photon correlation measurements requires neither optical non-linearities nor entangled photons and should therefore be of immediate practical interest., Comment: 6 pages, 3 figures, IEEE conference proceedings

Hidden Markov Models are widely used in classical computer science to model stochastic processes with a wide range of applications. This paper concerns the quantum analogues of these machines — so-called Hidden Quantum Markov Models (HQMMs). Using the properties of Quantum Physics, HQMMs are able to generate more complex random output sequences than their classical counterparts, even when using the same number of internal states. They are therefore expected to find applications as quantum simulators of stochastic processes. Here, we emphasise that open quantum systems with instantaneous feedback are examples of HQMMs, thereby identifying a novel application of quantum feedback control.

The major factor limiting crop production in the Texas Rolling Plains is water, and better methods of conserving soil water in dryland wheat production are needed. Chain diking is a novel method of forming basins on flat-tilled land to impound and conserve water received from precipitation. The objective of this research was to determine the influence of chain diking on dryland winter wheat (Triticun aestivum L.) yield and on runoff during the growing season. The study site, in northwest Texas, has an annual mean rainfall of 632 mm and a cropping season average of 444 mm. Following September drill-seeding of wheat, plots were chain diked or not diked. All other cultural practices were the same for all plots. Exit flumes and automatic recording devices were installed to measure runoff from each plot during the growing season. Grain was harvested in June. Diking reduced runoff an average of 40% (P = 0.02), which amounted to 1.0 ha-cm over three crop years, compared with tillage without diking. The increase in wheat grain yield from diking was not significant over four crop years (P = 0.75). When analyzed by year, diking increased yields 11% (277 kg ha -1 ; P = 0.02) in 1989, when cropping-season rainfall was 22% below average. The probability of receiving rainfall below average by more than 20% during the cropping year is 30%, based on 88-yr records at this test site. Diking following planting apparently will be valuable less than 30% of the time, although other applications for chain diking are possible.