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Related papers: Photon Statistics for MUltimode Squeezed Schr\"odi…

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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

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 multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The…

High Energy Physics - Theory · Physics 2009-09-25 V. V. Dodonov , V. I. Man'ko , D. E. Nikonov

The theory of quantum propagator and time--dependent integrals of motion in quantum optics is reviewed as well as the properties of Wigner function, Q--function, and coherent state representation. Propagators and wave functions of a free…

Quantum Physics · Physics 2009-10-28 V. I. Man'ko

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

The primary aim of the present paper is to attract the attention of particle physicists to new developments in studying squeezed and correlated states of the electromagnetic field as well as of those working on the latest topic to new…

High Energy Physics - Phenomenology · Physics 2019-08-17 V. V. Dodonov , I. M. Dremin , O. V. Man'ko , V. I. Man'ko , P. G. Polynkin

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

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

A scheme for generating Schr\"{o}dinger cat-like states of a single-mode optical field by means of conditional measurement is proposed. Feeding into a beam splitter a squeezed vacuum and counting the photons in one of the output channels,…

Quantum Physics · Physics 2009-10-30 M. Dakna , T. Anhut , T. Opartny , L. Knoll , D. -G. Welsch

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

Quantum Physics · Physics 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence relation that arises from the saturation of the…

Quantum Physics · Physics 2021-05-25 Kevin Zelaya , Véronique Hussin , Oscar Rosas-Ortiz

Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related to the Hermite polynomials in a complex variable which are…

Quantum Physics · Physics 2015-06-17 S. T. Ali , K. Gorska , A. Horzela , F. H. Szafraniec

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 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 compute the photon number distribution, the Q distribution function and the wave functions in the momentum and position representation for a single mode squeezed number state using generating functions which allow to obtain any matrix…

Quantum Physics · Physics 2018-02-14 L. Albano , D. F. Mundarain , J. Stephany

We study several classical like properties of q-deformed nonlinear coherent states as well as nonclassical behaviours of q-deformed version of the Schrodinger cat states in noncommutative space. Coherent states in q-deformed space are found…

Quantum Physics · Physics 2015-02-18 Sanjib Dey

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 marginal distribution of squeezed and rotated quadrature for two types of nonclassical states of trapped ion -- for squeezed and correlated states and for squeezed even and odd coherent states (squeezed Schr\"odinger cat states) is…

Quantum Physics · Physics 2009-10-30 Olga Man'ko

The marginal distribution of squeezed, rotated and shifted quadrature for two types of nonclassical states of a trapped ion - squeezed correlated states and squeezed even and odd coherent states (squeezed Schrodinger cat states) - is…

Quantum Physics · Physics 2019-03-06 O. V. Man'ko

Entanglement of bipartite squeezed states generated by holomorphic Hermite functions of two complex variables is investigated using phase-space approach based on the Wigner distribution function. Orthogonality of the holomorphic Hermite…

Quantum Physics · Physics 2025-08-15 K. Górska , A. Horzela , D. Kołaczek , B. J. Spisak , F. H. Szafraniec
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