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Classical and nonclassical states of quantum complex oscillators with real spectrum are presented. Such states are bi-orthonormal superpositions of $n+1$ energy eigenvectors of the system with binomial-like coefficients. For large values of…

Quantum Physics · Physics 2016-05-05 Kevin D. Zelaya , Oscar Rosas-Ortiz

We introduce the set of $n$-photon coherent states and the set of $n$-photon squeezed coherent states and study their collapse and revival and compare their behavior with the collapse and revival of the corresponding zero-photon coherent…

Quantum Physics · Physics 2022-04-12 Moorad Alexanian

We show theoretically that by applying a bichromatic electromagnetic field, the dressed states of a monochromatically driven two-level atom can be pumped into a coherent superposition termed as dressed-state coherent population trapping.…

Optics · Physics 2008-11-20 Peng Li , Qun Zhang , Xi-Jing Ning , J. Q. You

In this survey, various generalisations of Glauber-Sudarshan coherent states are described in a unified way, with their statistical properties and their possible role in non-standard quantisations of the classical electromagnetic field.…

Quantum Physics · Physics 2025-10-28 Jean Pierre Gazeau

Generalized coherent states for shape invariant potentials are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show this generalized formalism is able to: a) supply the essential requirements necessary…

Quantum Physics · Physics 2008-11-26 A. N. F. Aleixo , A. B. Balantekin

We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general…

Quantum Physics · Physics 2007-05-23 V. SunilKumar , B. A. Bambah , R. Jagannathan , P. K. Panigrahi , V. Srinivasan

Multiparticle entangled states generated via interaction between narrow-band light and an ensemble of identical two-level atoms are considered. Depending on the initial photon statistics, correlation between atoms and photons can give rise…

Quantum Physics · Physics 2009-11-11 V. N. Gorbachev , A. I. Trubilko

A consistent treatment of the ground state correlations beyond the random phase approximation including their influence on the pairing and phonon-phonon coupling in nuclei is presented. A new general system of nonlinear equations for the…

Nuclear Theory · Physics 2007-05-23 A. P. Severyukhin , V. V. Voronov , D. Karadjov

The multiphoton coherent states, a generalization to coherent sates, are derived for electrons in bilayer graphene placed in a constant homogeneous magnetic field which is orthogonal to the bilayer surface. For that purpose a generalized…

Quantum Physics · Physics 2023-04-05 David J. Fernández C. , Dennis I. Martínez-Moreno

The interaction of a single-photon wave packet with an initially excited two-level atom in free space is studied in semiclassical and quantum approaches. It is shown that the final state of the field does not contain doubly occupied modes.…

Quantum Physics · Physics 2013-05-30 P. V. Elyutin

The electromagnetic fields of the hybrid modes of an optical fiber are reformulated using bi-complex mathematics, which leads to simpler expressions relative to those found with the widely used, conventional complex formulation. Generalized…

Optics · Physics 2025-04-28 W. Astar

We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R^{2N} endowed with a magnetic symplectic form.

Mathematical Physics · Physics 2009-11-13 Marius Mantoiu , Radu Purice , Serge Richard

Orthogonality of two-photon polarization states belonging to a single frequency and spatial mode is demonstrated experimentally, in a generalization of the well-known anti-correlation 'dip' experiment.

Quantum Physics · Physics 2009-11-10 M. V. Chekhova , L. A. Krivitsky , S. P. Kulik , G. A. Maslennikov

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

Starting with the canonical coherent states, we demonstrate that all the so-called nonlinear coherent states, used in the physical literature, as well as large classes of other generalized coherent states, can be obtained by changes of…

Quantum Physics · Physics 2009-11-10 S. Twareque Ali , R. Roknizadeh , M. K. Tavassoly

The two-mode even and odd coherent states and two-mode squeezed correlated state are discussed. Photon distribution functions, means, dispersions, Fano factor for even and odd coherent states and squeezed correlated state are calculated.…

Quantum Physics · Physics 2019-03-27 Sergey V. Kuznetsov , Aleksander V. Kyusev , Olga V. Man'ko

Extended phase-matching conditions for spontaneous parametric down-conversion are examined. By augmenting the conventional phase-matching conditions, they permit the creation of a class of frequency-entangled states that generalizes the…

Quantum Physics · Physics 2009-11-07 Vittorio Giovannetti , Lorenzo Maccone , Jeffrey H. Shapiro , Franco N. C. Wong

The complete measurement of the quantum state of two correlated photons requires reconstructing the amplitude and phase of the biphoton wavefunction. We show how, by means of spatially resolved single photon detection, one can infer the…

Quantum Physics · Physics 2025-06-26 Nazanin Dehghan , Alessio D'Errico , Francesco Di Colandrea , Ebrahim Karimi

This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed. A statistical computation of relevant physical quantities is performed, emphasizing…

Mathematical Physics · Physics 2018-07-04 Komi Sodoga , Mahouton Norbert Hounkonnou , Isiaka Aremua

We study the quantum correlations of the radiation emitted by three level atoms (cascade type) interacting with two driving fields. In the linear regime, and in the Weisskopf-Wigner approximation, we show that the atomic and the two-photon…

Quantum Physics · Physics 2010-12-30 S. N. Sandhya , V. Ravishankar