AN EMPLOYMENT EQUATION FOR AUSTRALIA: 1966-2001

We model the relationship between hours of work and employment and argue that unless actual hours are varying with a change in ‘standard hours’, actual hours should not appear in the long-run component of an equation for employment. If however standard hours are changing then it is desirable that this variable be incorporated into the employment equation. Our theoretical model yields an expression for the elasticity of employment with respect to standard hours which shows that the elasticity is related to the size of the premium for overtime. Using quarterly data for the period 1966:3 – 2001:3 we estimate a new employment equation for Australia incorporating standard hours of work. We find empirical support for our approach and we provide new estimates of the elasticity of employment with respect to the real wage and GDP. We also find a marked asymmetry in the response of employment to variations in real GDP and real wages in recession periods as against non-recession periods.Employment Determination, Demand for Labor, Australia

A FRAMEWORK FOR UNDERSTANDING CHANGES IN THE UNEMPLOYMENT RATE IN A FLOWS CONTEXT: AN EXAMINATION NET FLOWS IN THE AUSTRALIAN LABOUR MARKET

In this paper we develop a framework which is appropriate for the systematic investigation of the relationship between net (and gross) flows between different labour market states and movements in the unemployment rate. We use that framework to investigate the behaviour of net flows of persons between employment, unemployment and not in the labour force in Australia between 1979-2003 and the relationship of these flows to changes in the unemployment rate over that period. We find that: flows from unemployment to employment exceed flows from employment to unemployment and that this is the case even in recessions; flows from employment to not in the labour force exceed flows from not in the labour force to employment and that this is the case even in booms, and; flows from not in the labour force to unemployment exceed flows from unemployment to not in the labour force even in recessions. Another important finding is that the reason why the participation rate is negatively correlated with the unemployment rate is because net flows from employment to both unemployment and to not in the labour force are highly correlated. It cannot be explained by flows occurring between unemployment and not in the labour force.Worker Flows Business Cycle Unemployment Participation Rate

Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification

We report on the use of an interferometric weak value technique to amplify very small transverse deflections of an optical beam. By entangling the beam's transverse degrees of freedom with the which-path states of a Sagnac interferometer, it is possible to realize an optical amplifier for polarization independent deflections. The theory for the interferometric weak value amplification method is presented along with the experimental results, which are in good agreement. Of particular interest, we measured the angular deflection of a mirror down to 560 femtoradians and the linear travel of a piezo actuator down to 20 femtometers

Precision frequency measurements with interferometric weak values

We demonstrate an experiment which utilizes a Sagnac interferometer to measure a change in optical frequency of 129 kHz per root Hz with only 2 mW of continuous wave, single mode input power. We describe the measurement of a weak value and show how even higher frequency sensitivities may be obtained over a bandwidth of several nanometers. This technique has many possible applications, such as precision relative frequency measurements and laser locking without the use of atomic lines.Comment: 4 pages, 3 figures, published in PR

Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values

The amplification obtained using weak values is quantified through a detailed investigation of the signal to noise ratio for an optical beam deflection measurement. We show that for a given deflection, input power and beam radius, the use of interferometric weak values allows one to obtain the optimum signal to noise ratio using a coherent beam. This method has the advantage of reduced technical noise and allows for the use of detectors with a low saturation intensity. We report on an experiment which improves the signal to noise ratio for a beam deflection measurement by a factor of 54 when compared to a measurement using the same beam size and a quantum limited detector

Testing Gravity in the Outer Solar System: Results from Trans-Neptunian Objects

The inverse square law of gravity is poorly probed by experimental tests at distances of ~ 10 AUs. Recent analysis of the trajectory of the Pioneer 10 and 11 spacecraft have shown an unmodeled acceleration directed toward the Sun which was not explained by any obvious spacecraft systematics, and occurred when at distances greater than 20 AUs from the Sun. If this acceleration represents a departure from Newtonian gravity or is indicative of an additional mass distribution in the outer solar system, it should be detectable in the orbits of Trans-Neptunian Objects (TNOs). To place limits on deviations from Newtonian gravity, we have selected a well observed sample of TNOs found orbiting between 20 and 100 AU from the Sun. By examining their orbits with modified orbital fitting software, we place tight limits on the perturbations of gravity that could exist in this region of the solar system.Comment: 20 pages, 4 figures, 2 tables, uses AASTex v5.x macro

Realization of an all-optical zero to π cross-phase modulation jump

We report on the experimental demonstration of an all-optical π cross-phase modulation jump. By performing a preselection, an optically induced unitary transformation, and then a postselection on the polarization degree of freedom, the phase of the output beam acquires either a zero or π phase shift (with no other possible values). The postselection results in optical loss in the output beam. An input state may be chosen near the resulting phase singularity, yielding a pi phase shift even for weak interaction strengths. The scheme is experimentally demonstrated using a coherently prepared dark state in a warm atomic cesium vapor

Continuous phase amplification with a Sagnac interferometer

We describe a weak value inspired phase amplification technique in a Sagnac interferometer. We monitor the relative phase between two paths of a slightly misaligned interferometer by measuring the average position of a split-Gaussian mode in the dark port. Although we monitor only the dark port, we show that the signal varies linearly with phase and that we can obtain similar sensitivity to balanced homodyne detection. We derive the source of the amplification both with classical wave optics and as an inverse weak value.Comment: 5 pages, 4 figures, previously submitted for publicatio

Interferometric weak value deflections: quantum and classical treatments

We derive the weak value deflection given in a paper by Dixon et al. (Phys. Rev. Lett. 102, 173601 (2009)) both quantum mechanically and classically. This paper is meant to cover some of the mathematical details omitted in that paper owing to space constraints

Quantum Mutual Information Capacity for High Dimensional Entangled States

High dimensional Hilbert spaces used for quantum communication channels offer the possibility of large data transmission capabilities. We propose a method of characterizing the channel capacity of an entangled photonic state in high dimensional position and momentum bases. We use this method to measure the channel capacity of a parametric downconversion state, achieving a channel capacity over 7 bits/photon in either the position or momentum basis, by measuring in up to 576 dimensions per detector. The channel violated an entropic separability bound, suggesting the performance cannot be replicated classically.Comment: 5 pages, 2 figure