10.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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10 papers · 2 filters
Star product and ordered moments of photon creation and annihilation operators
S. N. Filippov, V. I. Man'ko
We develop a star-product scheme of symbols defined by the normally ordered powers of the creation and annihilation photon operators, (a†)^m a^n. The corresponding phase space is a…
On calculating the mean values of quantum observables in the optical tomography representation
Grigori G. Amosov, Yakov A. Korennoy, Vladimir I. Man'ko
Given a density operator the optical tomography map defines a one-parameter set of probability distributions on the real line allowing to…
Measuring microwave quantum states: tomogram and moments
Sergey N. Filippov, Vladimir I. Man'ko
Two measurable characteristics of microwave one-mode photon states are discussed: a rotated quadrature distribution (tomogram) and normally/antinormally ordered moments of photon c…
Canonical transforms, quantumness and probability representation of quantum mechanics
Margarita A. Man'ko, Vladimir I. Man'ko
The linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution…
Optical tomography of Fock state superpositions
S. N. Filippov, V. I. Man'ko
We consider optical tomography of photon Fock state superpositions in connection with recent experimental achievements. The emphasis is put on the fact that it suffices to represen…
Dynamic Symmetries and Entropic Inequalities in the Probability Representation of Quantum Mechanics
Margarita A. Man'ko, Vladimir I. Man'ko
The probability representation of quantum and classical statistical mechanics is discussed. Symplectic tomography, center-of-mass tomography, and spin tomography are studied. The c…
Optical Tomography of Photon-Added Coherent States, Even/Odd Coherent States and Thermal States
Ya. A. Korennoy, V. I. Man'ko
Explicit expressions for optical tomograms of the photon-added coherent states, even/odd photon-added coherent states and photon-added thermal states are given in terms of Hermite…
Phase dependent interference effects on atomic excitation
Pankaj K. Jha, Hebin Li, Vladimir A. Sautenkov +2
We present an experimental and theoretical study of phase-dependent interference effects in multi-photon excitation under bichromatic radio-frequency (rf) field. Using an intense r…
Casimir interaction between a dielectric nanosphere and a metallic plane
Antoine Canaguier-Durand, Antoine Gérardin, Romain Guérout +5
We study the Casimir interaction between a dielectric nanosphere and a metallic plane, using the multiple scattering theory. Exact results are obtained with the dielectric describe…
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
S. N. Filippov, V. I. Man'ko
Columns of d^2 x N matrices are shown to create different sets of N operators acting on -dimensional Hilbert space. This construction corresponds to a formalism of the star-prod…