Second-order cumulants ghost imaging

Ghost imaging (GI) is a technique to retrieve images by correlating intensity fluctuations. In this Letter, we present a novel scheme for GI referred to as second-order cumulants GI (SCGI). The image is retrieved from fluctuation information, and resolution may be enhanced compared to traditional GI. We experimentally performed SCGI image reconstruction, and the results are in agreement with theoretical predictions.     

Compressed ghost edge imaging

In this Letter, we propose an advanced framework of ghost edge imaging, named compressed ghost edge imaging(CGEI). In the scheme, a set of structured speckle patterns with pixel shifting illuminate on an unknown object.The output is collected by a bucket detector without any spatial resolution. By using a compressed sensing algorithm, we obtain horizontal and vertical edge information of the unknown object with the bucket detector detection results and the known structured speckle patterns. The edge is finally constructed via twodimensional edge information. The experimental and numerical simulations results show that the proposed scheme has a higher quality and reduces the number of measurements, in comparison with the existing edge detection schemes based on ghost imaging.     

Orthogonal-triangular decomposition ghost imaging

Ghost imaging (GI) offers great potential with respect to conventional imaging techniques. However, there are still some obstacles for reconstructing images with high quality, especially in the case that the orthogonal measurement matrix is impossible to construct. In this paper, we propose a new scheme based on the orthogonal-triangular (QR) decomposition, named QR decomposition ghost imaging (QRGI) to reconstruct a better image with good quality. In the scheme, we can change the randomly non-orthogonal measurement matrix into orthonormal matrix by performing QR decomposition in two cases. (1) When the random measurement matrix is square, it can be firstly decomposed into an orthogonal matrix $\bm Q$ and an upper triangular matrix $\bm R$. Then let the off-diagonal values of $\bm R$ equal to 0.0, the diagonal elements of $\bm R$ equal to a constant $k$, where $k$ is the average of all values of the main diagonal, so the resulting measurement matrix can be obtained. (2) When the random measurement matrix is with full rank, we firstly compute its transpose, and followed with above QR operation. Finally, the image of the object can be reconstructed by correlating the new measurement matrix and corresponding bucket values. Both experimental and simulation results verify the feasibility of the proposed QRGI scheme. Moreover, the results also show that the proposed QRGI scheme could improve the imaging quality comparing to traditional GI (TGI) and differential GI (DGI). Besides, in comparison with the singular value decomposition ghost imaging (SVDGI), the imaging quality and the reconstruction time by using QRGI are similar to those by using SVDGI, while the computing time (the time consuming on the light patterns computation) is substantially shortened.     

The relationship between the gauged BRST symmetry and the ghost number symmetry

A general method of gauging the BRST algebra by combining a (local) ghost number symmetry with the standard (global) BRST algebra, is displayed. This method enables us to construct an automatically nilpotent local BRST algebra and to obtain in a straightforward way the corresponding versions of the action and the eventual anomalies. To illustrate the procedure we study the Yang-Mills and the free bosonic string theories (including the “conformal” Beltrami parametrization) and show that it reproduces the results discussed in the literature. Two major outcomes of this scheme are briefly discussed: a possible connection between ghost number and BRST currents, arising from the Slavnov identities and the implications of the ghost number anomaly for the BRST localization program in theories such as string theory.     

Iterative filtered ghost imaging

It is generally believed that, in ghost imaging, there has to be a compromise between resolution and visibility. Here we propose and demonstrate an iterative filtered ghost imaging scheme whereby a super-resolution image of a grayscale object is achieved, while at the same time the signal-to-noise ratio (SNR) and visibility are greatly improved, without adding complexity. The dependence of the SNR, visibility, and resolution on the number of iterations is also investigated and discussed. Moreover, with the use of compressed sensing the sampling number can be reduced to less than 1% of the Nyquist limit, while maintaining image quality with a resolution that can exceed the Rayleigh diffraction bound by more than a factor of 10.     

Classical far-field phase-sensitive ghost imaging

We report the first (to our knowledge) far-field ghost images formed with phase-sensitive classical-state light and compare them with ghost images of the same object formed with conventional phase-insensitive classical-state light. To generate signal and reference beams with phase-sensitive cross correlation, we used a pair of synchronized spatial light modulators that imposed random, spatially varying, anticorrelated phase modulation on the outputs from 50-50 beam splitting of a laser beam. In agreement with theory, we found the phase-sensitive image to be inverted, whereas the phase-insensitive image is erect, with both having comparable spatial resolutions and signal-to-noise ratios.     

Quantum interferences at nuclear level crossing

Two nuclear hyperfine levels can cross when a quadrupole and magnetic interaction are combined. When the levels come close enough, interferences between two transitions can occur if coherence conditions are fulfilled. In this paper we discuss the possibility that coherence and interferences could occur if the zero fluctuations of an electromagnetic field in a crystal lattice would be anisotropic. This revised version was published online in August 2006 with corrections to the Cover Date.     

Phase modulation pseudocolor encoding ghost imaging

We present a ghost imaging scheme that can obtain a good pseudocolor image of black-and-white objects.The essential idea is to use a multi-wavelength thermal light source and the phase modulation pseudocolor encoding technique,which overcomes the disadvantages of other methods involved spatial filtering.Therefore,the pseudocolor ghost image achieved by this imaging scheme is better than that obtained by other methods in terms of brightness,color,and signal-tonoise ratio.     

Mask-based denoising scheme for ghost imaging

Ghost imaging(GI) is thought of as a promising imaging method in many areas. However, the main drawback of GI is the huge measurement data and low signal-to-noise ratio. In this paper, we propose a novel mask-based denoising scheme to improve the reconstruction quality of GI. We first design a mask through the maximum between-class variance(OTSU)method and construct the measurement matrix with speckle patterns. Then, the correlated noise in GI can be effectively suppressed by employing the mask. From the simulation and experimental results, we can conclude that our method has the ability to improve the imaging quality compared with traditional GI method.     

Fluorescence ghost imaging with pseudothermal light

We extend classical light ghost imaging to the area of fluorescence imaging and propose a new fluorescence imaging method. For the first time, we demonstrate both theoretically and experimentally that fluorescence ghost imaging can be realized with pseudothermal light. Important factors influencing the visibility and resolution of the images are discussed to improve the quality of the fluorescence ghost imaging. We hope that this work may pave the road for ghost imaging to biomedical applications.     

Quantum Hall states of high symmetry

We identify some hidden symmetries of Chern-Simons theories, such as appear in the effective theory for quantized Hall states. This allows us to determine which filling fractions admit spin-singlet quantum Hall states. Our results shed some light on states already observed at , and transitions between them. We identify SU(2), or higher, symmetries of many additional states — including spin-polarized states. Our symmetries classify low-lying excited states and may be of use in the construction of trial wavefunctions, but are typically not present in the edge theory, where they are lifted by non-universal couplings.     

Quantum symmetry of Hubbard model unraveled

Superconducting quantum symmetries in extended one-band one-dimensional Hubbard models are shown to originate from the classical (pseudo-) spin symmetry of a new class of models; the standard Hubbard model is a special case. The quantum symmetric models provide extra parameters but are restricted to one dimension. All models discussed are related by generalized Lang-Firsov transformations, some have symmetries away from half filling.     

Three-dimensional ghost imaging based on periodic diffraction correlation imaging

We experimentally demonstrate a three-dimensional （3D） ghost imaging method based on period diffraction correlation imaging. Compared with conventional ghost imaging, our method can easily retrieve the images of different focal planes. Due to the correlation between the disturbed object beam and the reference beams which do not pass through any scattering, the clear images can be periodically obtained in the uncovered zones even through a scattering medium. The analysis of the 3D imaging resolution reveals that the proper resolution for actual demand can be achieved by designing our devices. The implementation of this experiment is quite simple and low-cost. It facilitates the practical applications of ghost imaging.     

Integral constraints for partial wave amplitudes from crossing symmetry

By use of crossing symmetry, integral relations among partial wave amplitudes for elastic scattering of self-conjugate mesons are derived. They involve the amplitudes for unphysical values ofs between the pseudothreshold (m-μ)² and the threshold (m+μ)².     

Quantum gases with internal symmetry revisited

An analysis of an appearance of chemical potentials in thermodynamical systems with an internal symmetry is presented. Arguments are given that one should introduce also chemical potentials which are not related to internal symmetries. Condensation properties of the ideal gas are an example showing how the behaviour of the system depends on chemical potentials. There is also a possibility to use a chemical potential related to the particle number conservation as a tool to reproduce some properties of the hadronic matter formed in heavy ion collisions.