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Based on transformation optics, a strategy is proposed to expose the inner one-dimensional space of a wave field inside a beam volume to the surface of the propagation medium and extend the space from one-dimensional to two-dimensional,…

Optics · Physics 2020-02-24 Jiangchao Shi , Xiaobo Yang , Jin Hu

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

The quantum state for the spatial degrees of freedom of photons propagating through turbulence is analyzed. The turbulent medium is modeled by a single phase screen for weak scintillation conditions and by multiple phase screens for general…

Quantum Physics · Physics 2015-06-19 Filippus S. Roux

It is shown that the number-phase Wigner function defines uniquely the respective density operator. Relations between the Glauber-Sudarshan distribution $\mathcal{P}(\alpha)$ and the number-phase Wigner function is found. This result is…

Mathematical Physics · Physics 2015-12-08 Maciej Przanowski , Przemyslaw Brzykcy

Asymptotical formulas for the photon distribution function of a quantum oscillator with time-dependent frequency and damping coefficients, interacting with a thermal reservoir, are derived in the case of a large mean number of quanta.…

Quantum Physics · Physics 2015-05-18 V. V. Dodonov

Optical near fields are at the heart of various applications in sensing and imaging. We investigate dipole scattering as a parameter estimation problem and show that optical near-fields carry more information about the location and the…

Quantum Physics · Physics 2024-06-18 Lukas Kienesberger , Thomas Juffmann , Stefan Nimmrichter

By introducing the thermo entangled state representation, we derived four new photocount distribution formulas for a given density operator of light field. It is shown that these new formulas, which is convenient to calculate the…

Quantum Physics · Physics 2015-05-20 Li-yun Hu , Z. S. Wang , L. C. Kwek , Hong-yi Fan

Symplectic and optical joint probability representations of quantum mechanics are considered, in which the functions describing the states are the probability distributions with all random arguments (except the argument of time ). The…

Quantum Physics · Physics 2017-02-01 Ya. A. Korennoy , V. I. Man'ko

Classically, electromagnetic pulses are described by real fields that couple to charged matter and propagate causally. We will show here that real fields of the form used in standard classical electromagnetic theory have a quantum…

Quantum Physics · Physics 2021-12-07 Margaret Hawton

Forty-five years after the point de d\'epart [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of the energy functional in terms of the…

Chemical Physics · Physics 2019-10-29 Philippe Blanchard , José M. Gracia-Bondía , Joseph C. Várilly

For one-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomials of two variables.The mean values and dispersions of photon…

High Energy Physics - Theory · Physics 2019-08-17 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

The conditions for observation of the particle coordinates, required by logic of the Special Relativity and filtering the quantum field effects, are described. A general relation between the corresponding density of probability and the wave…

Quantum Physics · Physics 2008-07-03 V. F. Krotov

Reconstruction of photon statistics of optical states provide fundamental information on the nature of any optical field and find various relevant applications. Nevertheless, no detector that can reliably discriminate the number of incident…

Quantum Physics · Physics 2009-11-13 M. Genovese , M. Gramegna , G. Brida , M. Bondani , G. Zambra , A. Andreoni , A. R. Rossi , M. G. A. Paris

We develop a field theory approach to light propagation in a gas of resonant atoms taking into account vector character of light and atom-atom interactions. Within this approach, we calculate the propagator of the electric field for both…

Other Condensed Matter · Physics 2007-05-23 M. B. Smirnov , M. A. Baranov

A wide range of experiments studying microwave photons localized in superconducting cavities have made important contributions to our understanding of the quantum properties of radiation. Propagating microwave photons, however, have so far…

Quantum Physics · Physics 2011-09-07 C. Eichler , D. Bozyigit , C. Lang , L. Steffen , J. Fink , A. Wallraff

We study the entanglement evolution of a quantum optical vortex state propagating through coupled lossless waveguides. We consider states generated by coupling two squeezed modes using a sequence of beam splitters and also by subtracting…

Quantum Physics · Physics 2016-09-21 Anindya Banerji , Ravindra Pratap Singh , Dhruba Banerjee , Abir Bandyopadhyay

Accurately estimating the refractive environment over multiple frequencies within the marine atmospheric boundary layer is crucial for the effective deployment of radar technologies. Traditional parabolic equation simulations, while…

Machine Learning · Computer Science 2025-09-08 Sarah E. Wessinger , Leslie N. Smith , Jacob Gull , Jonathan Gehman , Zachary Beever , Andrew J. Kammerer

Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006)…

Quantum Physics · Physics 2009-01-06 Hong-yi Fan , Li-yun Hu

The Wigner function is a well-known phase space distribution function with many applications in quantum mechanics. In this article, we consider an open quantum system consisting of a non-relativistic single particle interacting with a…

Quantum Physics · Physics 2026-05-06 Nick Huggett , Christian Käding , Mario Pitschmann , James Read
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