Properties of squeezed-state excitations
TLDR
In this article, 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, and the Wigner and the coherent-state quasiprobability are also presented in closed form through the Hermite priors and their limiting cases.Abstract:
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 in closed form through the Hermite polynomials and their limiting cases. Expectation values of photon numbers and their dispersion are calculated. Some three-dimensional plots of photon distributions for different squeezing parameters demonstrating oscillatory behaviour are given.read more
Citations
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'Nonclassical' states in quantum optics: a 'squeezed' review of the first 75 years
TL;DR: A review of studies performed in the field of non-classical states can be found in this article, with a focus on the evolution of Gaussian wave packets for an oscillator, a free particle and a particle moving in uniform constant electric and magnetic fields.
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Operator ordering in quantum optics theory and the development of Dirac's symbolic method
TL;DR: In this paper, a general unified approach for arranging quantum operators of optical fields into ordered products (normal ordering, antinormal ordering, Weyl ordering) by fashioning Dirac's symbolic method and representation theory is presented.
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Quantum states in probability representation and tomography
TL;DR: In this paper, a new formulation of quantum mechanics based on the probability representation of quantum states is given, and examples of free motion, parametric oscillator, and spin are considered.
Journal ArticleDOI
Hilbert-Schmidt distance and non-classicality of states in quantum optics
TL;DR: In this article, the Hilbert-Schmidt distance between two arbitrary normalizable states is discussed as a measure of the similarity of the states and the connection to other definitions of the non-classicality of states are discussed.
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Generalized Zernike or disc polynomials
TL;DR: In this paper, generalized Zernike or disc polynomials Pαm,n(z,z*) which are orthogonal 2D poynomials in the unit disc 0 ≤ √zz* - 1 is a free parameter.
References
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TL;DR: In this article, the Boltzmann formula for the probability of a configuration is given in classical theory by means of a probability function, and the result discussed is developed for the correction term.
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