Gaussian-State Theory of Two-Photon Imaging

Biphoton states of signal and idler fields--obtained from spontaneous parametric downconversion (SPDC) in the low-brightness, low-flux regime--have been utilized in several quantum imaging configurations to exceed the resolution performance of conventional imagers that employ coherent-state or thermal light. Recent work--using the full Gaussian-state description of SPDC--has shown that the same resolution performance seen in quantum optical coherence tomography and the same imaging characteristics found in quantum ghost imaging can be realized by classical-state imagers that make use of phase-sensitive cross correlations. This paper extends the Gaussian-state analysis to two additional biphoton-state quantum imaging scenarios: far field diffraction-pattern imaging; and broadband thin-lens imaging. It is shown that the spatial resolution behavior in both cases is controlled by the nonzero phase-sensitive cross correlation between the signal and idler fields. Thus, the same resolution can be achieved in these two configurations with classical-state signal and idler fields possessing a nonzero phase-sensitive cross correlation.Comment: 14 pages, 5 figure

Signal-to-noise ratio of Gaussian-state ghost imaging

The signal-to-noise ratios (SNRs) of three Gaussian-state ghost imaging configurations--distinguished by the nature of their light sources--are derived. Two use classical-state light, specifically a joint signal-reference field state that has either the maximum phase-insensitive or the maximum phase-sensitive cross correlation consistent with having a proper $P$ representation. The third uses nonclassical light, in particular an entangled signal-reference field state with the maximum phase-sensitive cross correlation permitted by quantum mechanics. Analytic SNR expressions are developed for the near-field and far-field regimes, within which simple asymptotic approximations are presented for low-brightness and high-brightness sources. A high-brightness thermal-state (classical phase-insensitive state) source will typically achieve a higher SNR than a biphoton-state (low-brightness, low-flux limit of the entangled-state) source, when all other system parameters are equal for the two systems. With high efficiency photon-number resolving detectors, a low-brightness, high-flux entangled-state source may achieve a higher SNR than that obtained with a high-brightness thermal-state source.Comment: 12 pages, 4 figures. This version incorporates additional references and a new analysis of the nonclassical case that, for the first time, includes the complete transition to the classical signal-to-noise ratio asymptote at high source brightnes

Conveyor belt clock synchronization

A protocol for synchronizing distant clocks is proposed that does not rely on the arrival times of the signals which are exchanged, and an optical implementation based on coherent-state pulses is described. This protocol is not limited by any dispersion that may be present in the propagation medium through which the light signals are exchanged. Possible improvements deriving from the use of quantum-mechanical effects are also addressed.Comment: 8 pages, 7 figure

Sub-Rayleigh-diffraction-bound quantum imaging

The spatial resolution of an imaging apparatus is limited by the Rayleigh diffraction bound, a consequence of the imager’s finite spatial extent. We show some N-photon strategies that permit resolution of details that are smaller than this bound, attaining either a 1∕√N enhancement (standard quantum limit) or a 1∕N enhancement (Heisenberg-like scaling) over standard techniques. In the incoherent imaging regime, the methods presented are loss resistant, since classical light sources suffice. Our results may be of importance in many applications: microscopy, telescopy, lithography, metrology, etc.DARPA Quantum Sensors ProgramW. M. Keck Foundation Center for Extreme Quantum Information Theor

Generating Entangled Two-Photon States with Coincident Frequencies

It is shown that parametric downconversion, with a short-duration pump pulse and a long nonlinear crystal that is appropriately phase matched, can produce a frequency-entangled biphoton state whose individual photons are coincident in frequency. Quantum interference experiments which distinguish this state from the familiar time-coincident biphoton state are described.Comment: Revised version (a typo was corrected) as published on PR

Historical Comparison of Perfluorooctanesulfonate, Perfluorooctanoate, and Other Fluorochemicals in Human Blood

The purpose of this investigation was to determine whether there has been a change in the human blood concentration of perfluorooctanesulfonate (PFOS), perfluorooctanoate (PFOA), and five other fluorochemicals since 1974. Blood samples were collected in 1974 (serum) and 1989 (plasma) from volunteer participants of a large community health study. The study included a total of 356 samples (178 from each time period). These samples were analyzed by high-pressure liquid chromatography/tandem mass spectrometry methods. The median 1974 and 1989 fluorochemical concentrations, respectively, were as follows: PFOS, 29.5 ng/mL vs. 34.7 ng/mL; PFOA, 2.3 ng/mL vs. 5.6 ng/mL; perfluorohexanesulfonate (PFHS), 1.6 ng/mL vs. 2.4 ng/mL; and N-ethyl perfluorooctanesulfonamidoacetate (PFOSAA), less than the lower limit of quantitation (LLOQ; 1.6 ng/mL, vs. 3.4 ng/mL). For N-methyl perfluorooctanesulfonamidoacetate (M570), perfluorooctanesulfonamide, and perfluorooctanesulfonamidoacetate, median serum concentrations in both years were less than the LLOQ values (1.0, 1.0, and 2.5 ng/mL, respectively). Statistical analysis of 58 paired samples indicated that serum concentrations of PFOS, PFOSAA, PFOA, PFHS, and M570 were significantly (p < 0.001) higher in 1989 than in 1974. The data from 1989 were then compared with geometric mean fluorochemical concentrations of serum samples collected in 2001 from 108 American Red Cross adult blood donors from the same region. Except for M570, there were no statistically significant (p < 0.05) geometric mean fluorochemical concentration differences between the 1989 and 2001 samples. In conclusion, based on this study population, PFOS and other serum fluorochemical concentrations have increased between 1974 and 1989. Comparison with other regional data collected in 2001 did not suggest a continued increase in concentrations since 1989

SN~2012cg: Evidence for Interaction Between a Normal Type Ia Supernova and a Non-Degenerate Binary Companion

We report evidence for excess blue light from the Type Ia supernova SN 2012cg at fifteen and sixteen days before maximum B-band brightness. The emission is consistent with predictions for the impact of the supernova on a non-degenerate binary companion. This is the first evidence for emission from a companion to a SN Ia. Sixteen days before maximum light, the B-V color of SN 2012cg is 0.2 mag bluer than for other normal SN~Ia. At later times, this supernova has a typical SN Ia light curve, with extinction-corrected M_B = -19.62 +/- 0.02 mag and Delta m_{15}(B) = 0.86 +/- 0.02. Our data set is extensive, with photometry in 7 filters from 5 independent sources. Early spectra also show the effects of blue light, and high-velocity features are observed at early times. Near maximum, the spectra are normal with a silicon velocity v_{Si} = -10,500$ km s^{-1}. Comparing the early data with models by Kasen (2010) favors a main-sequence companion of about 6 solar masses. It is possible that many other SN Ia have main-sequence companions that have eluded detection because the emission from the impact is fleeting and faint.Comment: accepted to Ap

Quantum theory of optical temporal phase and instantaneous frequency

We propose a general quantum theory of optical phase and instantaneous frequency in the time domain for slowly varying optical signals. Guided by classical estimation theory, we design homodyne phase-locked loops that enable quantum-limited measurements of temporal phase and instantaneous frequency. Standard and Heisenberg quantum limits to such measurements are then derived. For optical sensing applications, we propose multipass and Fabry-P\'erot position and velocity sensors that take advantage of the signal-to-noise-ratio enhancement effect of wideband angle modulation without requiring nonclassical light. We also generalize our theory to three spatial dimensions for nonrelativistic bosons and define an Hermitian fluid velocity operator, which provides a theoretical underpinning to the current-algebra approach of quantum hydrodynamics.Comment: 16 pages, v3: rewritten and extended, v4: some minor mistakes corrected, accepted by Physical Review

Footprints- In the Footprints of Squier and Davis: Archeological Fieldwork in Ross County, Ohio

TABLE OF CONTENTS Acknowledgements....................................................................iList of Tables...................................................................vii List of Figures...................................................................ix Contributors .........................................................................xiii Chapter 1 In the Footprints of Squier and Davis : Archeological Fieldwork in Ross County, Ohio Mark J. Lynott................................................................................1 Previous Studies in Ohio ...................................................1 Hopewell Studies Today ................................................................4 Recent Field Research ..........................................................................6 Goal of this Volume ................................................................................12 Chapter 2 In Non-mound Space at the Hopewell Mound Group Jennifer Pederson Weinberger .........................................13 Geophysical Survey .......................................................15Western Village Area.....................................................................16 Near the East Village .....................................................................18 Central Area ............................................................................19 Discussion .......................................................................................19 Chapter 3 Field Studies of the Octagon and Great Circle, High Bank Earthworks Ross County, Ohio N’omi B. Greber and Orrin C. Shane III ..............................................23 Excavations at the Octagon ............................................................25 Geophysics at the Great Circle ............................................................30 Excavations at the Great Circle ..........................................................33 Radiocarbon Assays ...........................................................................41 Comments ....................................................................................44 Addendum ..........................................................................................46 Chapter 4 Spruce Hill Earthworks: The 1995-1996 National Park Service Investigations Bret J. Ruby .............................................................................................49 Background .......................................................................................49 The Spruce Hill Earthworks .......................................................................49 Spruce Hill Revisited ......................................................................53 The 1995-1996 National Park Service Investigations ............................53 Discussion and Conclusions ..............................................................61 Chapter 5 Falling Through a Crack in the Core: The Surprise and Demise of Anderson Earthwork William H. Pickard and Jeffrey W. Weinberger ........................................ 67 History and Setting ..................................................................................68 1993 Excavations ..................................................................................70 Discussion ..............................................................................................72 Conclusion ............................................................................................74 Chapter 6 Middle Woodland and Other Settlement Remains in the Overly Tract Near The Hopeton Earthwork, Ross County, Ohio William S. Dancey .....................................................................................................77 Research Design.............................................................................77 Artifact Categories and their Distributions..............................................80 Discussion............................................................................................92 Chapter 7 Hopewell Occupation at the Hopeton Earthworks: Large Scale Surface Survey Using GPS Technology Jarrod Burks and Dawn Walter Gagliano................................................97 The Survey Area ................................................................................98 Survey Methodology .............................................................................99 Survey Results ...................................................................................99 The Surface Data: A Siteless Approach .................................................103 Discussion and Conclusion .........................................................................106 Notes ...................................................................................................107 Chapter 8 Hopewellian Centers in Context: Investigations In and Around the Hopeton Earthworks Bret J. Ruby And Mark J. Lynott .................................................................109 Surface Survey ......................................................................................110 Redwing Site ...........................................................................................111 Comparisons .........................................................................................118 Conclusions ......................................................................................122 Chapter 9 Searching for Hopewell Settlements: The Triangle Site at the Hopeton Earthworks Mark Lynott ...................................................................................... 125 Field Investigations ............................................................................127 Geophysical Survey ............................................................................128 1998 Season ....................................................................................128 Features, Artifacts and Radiocarbon Dating ........................................130 Animal Remains ...............................................................................137 Plant Remains ................................................................................138 Interpretations ..............................................................................139 Chapter 10 Geophysical Investigations at the Hopeton Earthworks John Weymouth, Bruce Bevan, and Rinita Dalan ...............................145 The Cesium Gradiometer Survey ...........................................................146 Cesium Gradiometer Results ...................................................................146 Geoscan Instrument Surveys ..............................................................148 Comparison of Cesium Magnetic and Resistance Data ........................148 Small Circles...........................................................................................149 Trench Excavations ...................................................................................149 Discussion ................................................................................................152 Conclusions ......................................................................................157 Chapter 11 Archeological and Geoarcheological Study of the Rectangular Enclosure at the Hopeton Works Mark J. Lynott and Rolfe D. Mandel ......................................................159 The Study of the Rectangular Earthwork ................................................161 Geophysical Survey ..............................................................................163 Trench Excavations .............................................................................164 Chronology ........................................................................................170 Geoarcheological Analysis of Trench 1 .................................................172 Interpretations ................................................................................174 Chapter 12 Ohio Hopewell Ritual Craft Production Katherine A. Spielmann ............................................................ 179Raw Material Procurement ....................................................................180 Hopewell Crafting ................................................................................181 Deposition ...........................................................................................186 Conclusions ....................................................................................188 References Cited .....................................................................................................18