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For N-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomial of $2N$ variables with equal pairs of indices.The mean values…

High Energy Physics - Theory · Physics 2009-10-22 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko

The review of the following results of the Refs. \cite{Sem} - \cite{Ans} is presented: For mixed state light of $N$-mode electromagnetic field described by Wigner function which has generic Gaussian form the photon distribution function is…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Man'ko

Using entropic inequalities for Shannon entropies new inequalities for some classical polynomials are obtained. To this end, photon distribution functions for one-, two- and multi-mode squeezed states in terms of Hermite, Laguerre, Legendre…

Quantum Physics · Physics 2016-03-07 V. I. Man'ko , L. A. Markovich

The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner and the coherent-state quasiprobabilities are also presented…

Quantum Physics · Physics 2009-10-30 Vladimir I. Man'ko , Alfred Wünsche

The even and odd coherent states are generalized for multimode case. The explicit forms for the photon distribution, Q-function and Wigner function are derived. In particular, it is shown that for two-mode case there exist strong…

High Energy Physics - Theory · Physics 2009-10-22 Nadeem A. Ansari , V. I. Man'ko

Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $\vert \alpha,m \rangle$ due to a time--dependence of the frequency of the…

High Energy Physics - Theory · Physics 2009-09-25 V. V. Dodonov , Ya. A. Korennoy , V. I. Man'ko , Y. A. Muukhin

Particle distributions in squeezed states, even and odd coherent states are given in terms of multivariable Hermite polynomials. The Q--function and Wigner function for nonclassical field states are discussed.

Quantum Physics · Physics 2016-09-08 V. I. Man'ko

A recently introduced hierarchy of states of a single mode quantised radiation field is examined for the case of centered Guassian Wigner distributions. It is found that the onset of squeezing among such states signals the transition to the…

Quantum Physics · Physics 2008-12-18 Arvind , N. Mukunda , R. Simon

In this thesis we present a direct scheme for measuring quasidistribution functions of light. This scheme, based on photon counting, is derived from a simple relation linking the Wigner function with photon statistics. We develop a full…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek

The photon-number distribution between two parts of a given volume is found for an arbitrary photon statistics. This problem is related to the interaction of a light beam with a macroscopic device, for example a diaphragm, that separates…

Quantum Physics · Physics 2016-08-09 Aleksey V. Ilyin

The generalised quasienergy states are introduced as eigenstates of the new integral of motion for periodically and nonperiodically kicked quantum systems.The photon distribution function of polymode generalised correlated light expressed…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Man'ko

We investigate propagation of few-photon pulses in waveguides coupled to a two-level system by means of the method of distribution functions in coordinate-momentum space that provides a detailed description of photon systems. We find that…

Quantum Physics · Physics 2013-08-09 Oleksandr Chumak , Evgeniy Stolyarov

One of the most prominent quasiprobability functions in quantum mechanics is the Wigner function that gives the right marginal probability functions if integrated over position or momentum. Here we depart from the definition of the…

Quantum Physics · Physics 2013-03-13 Hector Moya-Cessa

New time-dependent integrals of motion are found for stimulated Raman scattering. Explicit formula for the photon-number probability distribution as a function of the laser-field intensity and the medium parameters is obtained in terms of…

Quantum Physics · Physics 2007-05-23 O. V. Man'ko , N. V. Tcherniega

The addition or subtraction of a photon from a Gaussian state of light is a versatile and experimentally feasible procedure to create non-Gaussian states. In multimode setups, these states manifest a wide range of phenomena when the photon…

Quantum Physics · Physics 2017-11-16 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

Advances in photonics require photon-number resolved simulations of quantum optical experiments with Gaussian states. We demonstrate a simple and versatile method to simulate the photon statistics of general multimode Gaussian states. The…

Quantum Physics · Physics 2023-03-06 Erik Fitzke , Florian Niederschuh , Thomas Walther

We report on a calculation of the generalized parton distributions of the photon when there is non-zero momentum transfer both in the transverse and longitudinal directions. By taking Fourier transforms of the GPDs with respect transverse…

High Energy Physics - Phenomenology · Physics 2015-06-30 Asmita Mukherjee , Sreeraj Nair

The quasi-probabilistic Wigner distributions are the quantum mechanical analog of the classical phase-space distributions. We investigate quark Wigner distributions for a quark state dressed with a gluon, which can be thought of as a simple…

High Energy Physics - Phenomenology · Physics 2017-05-09 Jai More , Asmita Mukherjee , Sreeraj Nair

Linear media are predicted to exist whose relative permiability is an operator in the space of quantum states of light. Such media are characterized by a photon statistics--dependent refractive index. This indicates a new type of optical…

Quantum Physics · Physics 2007-05-23 G. Ya. Slepyan , S. A. Maksimenko

The photon density operator function is used to calculate light beam propagation through turbulent atmosphere. A kinetic equation for the photon distribution function is derived and solved using the method of characteristics. Optical wave…

Quantum Physics · Physics 2009-11-13 G. P. Berman , A. A. Chumak
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