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We explore the use of first and second order same-time atomic spatial correlation functions as a diagnostic for probing the small scale spatial structure of atomic samples trapped in optical lattices. Assuming an ensemble of equivalent…

Quantum Physics · Physics 2015-06-26 John P. Grondalski , Paul M. Alsing , Ivan H. Deutsch

Hyperspectral imaging aims at providing information on both the spatial and the spectral distribution of light, with high resolution. However, state-of-the-art protocols are characterized by an intrinsic trade-off imposing to sacrifice…

Optics · Physics 2024-07-22 Gianlorenzo Massaro , Francesco V. Pepe , Milena D'Angelo

This work is devoted to the stability/resolution analysis of several imaging functionals in complex environments. We consider both linear functionals in the wavefield as well as quadratic functionals based on wavefield correlations. Using…

Analysis of PDEs · Mathematics 2015-01-27 G. Bal , O. Pinaud , L. Ryzhik

Quantum metrology deals with improving the resolution of instruments that are otherwise limited by shot noise and it is therefore a promising avenue for enabling scientific breakthroughs. The advantage can be even more striking when quantum…

In this paper are reviewed various designs of advanced, multi-aperture optical systems dedicated to high angular resolution imaging or to the detection of exo-planets by nulling interferometry. A simple Fourier optics formalism applicable…

Optics · Physics 2016-01-20 Francois Henault

This work provides an in-depth mathematical description of the response functions that are used for spatial and spectral analysis of X-ray data. The use of such functions is well-known to anyone familiar with the analysis of X-ray data…

Astrophysics · Physics 2009-10-31 John E. Davis

An approach for compensating the influence of the interrogator noises on the readings of interferometric sensors, interrogated by means of spectral interferometry with wavelength tuning is proposed. Both theoretical analysis and a…

Instrumentation and Detectors · Physics 2019-04-30 Nikolai Ushakov , Alexandr Markvart , Leonid Liokumovich

In a recent experiment by Eichmann et al., polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of…

Atomic Physics · Physics 2009-10-30 T. Wong , S. M. Tan , M. J. Collett , D. F. Walls

With photon-number resolving detectors, we show compression of interference fringes with increasing photon numbers for a Fabry-Perot interferometer. This feature provides a higher precision in determining the position of the interference…

We study theoretically electron transients in semiconductor alloys excited by light pulses shorter than 100 femtoseconds and tuned above the absorption edge during and shortly after the pulse, when disorder scattering is dominant. We use…

Disordered Systems and Neural Networks · Physics 2016-08-16 A. Kalvová , B. Velický

We extend a previous analysis of spatial correlation functions for classical electromagnetic vector fields near a perfectly conducting boundary [PRE, vol. 73, 036604 (2006)] to the case of an isotropic semi-infinite medium with planar…

Optics · Physics 2009-11-13 Luk R. Arnaut

Radio interferometric observations are less susceptible to radio frequency interference (RFI) than single dish observations. This is primarily due to : (1)fringe-frequency averaging at the correlator output and (2) bandwidth decorrelation…

Astrophysics · Physics 2007-05-23 D. Anish Roshi , R. A. Perley

Dispersion relations are nonperturbative formulas that relate the ultraviolet and infrared behavior of an observable with wide-ranging applications applications in linear response theory, quantum field theory scattering amplitudes, and…

High Energy Physics - Theory · Physics 2025-11-19 Dean Carmi , Javier Moreno , Shimon Sukholuski

Recent theoretical studies in quantum spectroscopy have emphasized the potential of non-classical correlations in entangled photon pairs for selectively targeting specific nonlinear optical processes in nonlinear optical responses. However,…

Chemical Physics · Physics 2026-04-21 Yuta Fujihashi , Ozora Iso , Ryosuke Shimizu , Akihito Ishizaki

The form factor for spectral correlations in a diffusive metal is calculated in the presence of several Aharonov-Bohm fluxes. When the fluxes $\phi$ are equal, the correlations are universal functions of $n g^2 \phi$ where $g$ is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Gilles Montambaux

We show how two level atoms can be used to determine the local time dependent spectrum. The method is applied to a one dimensional cavity. The spectrum obtained is compared with the mode spectrum determined using spatially filtered second…

Quantum Physics · Physics 2015-06-26 Martti Havukainen

We compute the correlation functions for antiferromagnetic and d-wave superconducting fermion bilinears in a generalized mean field type approximation for the Hubbard model. For high temperature our explicit expressions show that…

Strongly Correlated Electrons · Physics 2007-05-23 Tobias Baier , Eike Bick , Christof Wetterich

We derive a general relation between correlators of density of states fluctuations and density response functions. It applies equally to quantum chaotic systems of pure symmetry (unitary, orthogonal, and symplectic) as well as to the…

Condensed Matter · Physics 2009-10-28 N. Taniguchi , B. D. Simons , B. L. Altshuler

Extended derivations regarding the cumulant-based formulation of higher-order fluorescence correlation spectroscopy (FCS) are presented. First, we review multivariate cumulants and their relation to photon counting distributions in single…

Chemical Physics · Physics 2018-10-16 Farshad Abdollah-Nia

We discuss the analytic presentations of the high-order correlation functions in the N-slit diffraction with thermal light in a recent paper [Phys. Rev. Lett. 109, 233603 (2012)]. Our analysis shows that the superresolving fringes in the…

Optics · Physics 2013-12-02 Su-Heng Zhang , De-Zhong Cao