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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

We study su(2) and su(1,1) displaced number states. Those states are eigenstates of density-dependent interaction systems of quantized radiation field with classical current. Those states are intermediate states interpolating between number…

Quantum Physics · Physics 2009-11-06 Hongchen Fu , Xiaoguang Wang , Chong Li , Jiangong Wang

We motivate and introduce a class of "hierarchical" quantum superposition states of $N$ coupled quantum oscillators. Unlike other well-known multimode photonic Schr\"{o}dinger cat states such as entangled coherent states, the hierarchical…

Quantum Physics · Physics 2016-01-27 T. J. Volkoff

Multiple photon subtraction applied to a displaced phase-averaged coherent state, which is a non-Gaussian classical state, produces conditional states with a non trivial (positive) Glauber-Sudarshan $P$-representation. We theoretically and…

Quantum Physics · Physics 2013-12-02 Stefano Olivares , Alessia Allevi , Maria Bondani

Two twin beams with a shared signal beam and separated idler beams are used together with the photon-number-resolving postselection in the signal beam to arrive at two coupled beams with anticorrelations in photon-number fluctuations.…

Quantum Physics · Physics 2021-08-04 Jan Perina , Vaclav MIchalek , Radek Machulka , Ondrej Haderka

Photon statistics plays a governing role in multi-photon interference. While interference visibility in the standard two-photon case, known as Hong-Ou-Mandel interference, monotonically degrades with higher intensity correlation functions,…

Quantum Physics · Physics 2026-01-16 Rikizo Ikuta

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

We consider a two-mode stabilized squeezed coherent state (SSCS) of light and introduce the $\Pi_{\rm N}$ indicator, a novel measure for characterizing nonclassicality in the resulting EPR-entangled state. Unlike existing methods based on…

Quantum Physics · Physics 2024-04-22 C. Lee , T. H. Yoon

Different non-classicality criteria expressed in the form of inequalities among intensity moments and elements of photon-number distributions are applied to noisy twin beams and other two-mode states obtained from a twin beam by using a…

Quantum Physics · Physics 2018-01-24 Ievgen I. Arkhipov , Jan Peřina

Numerous non-classicality criteria based on the probabilities of experimental photocount or theoretical photon-number distributions are derived using several approaches. Relations among the derived criteria are revealed and the fundamental…

Quantum Physics · Physics 2020-12-02 Jan Perina , Vaclav Michalek , Ondrej Haderka

In this paper we discuss statistical properties of modified London coherent states, that were introduced in order build up a resolution of the identity for London coherent states. In particular, we show that there exist sub-Poissonian…

Quantum Physics · Physics 2022-06-20 Héctor M. Moya-Cessa , Julio Guerrero

We introduce a formalism of nonlinear canonical transformations for general systems of multiphoton quantum optics. For single-mode systems the transformations depend on a tunable free parameter, the homodyne local oscillator angle; for…

Quantum Physics · Physics 2007-05-23 Fabio Dell'Anno , Silvio De Siena , Fabrizio Illuminati

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

Based on the definition of coherent states for continuous spectra and analogous to photon added coherent states for discrete spectra, we introduce the excited coherent states for continuous spectra. It is shown that, the main axioms of…

Quantum Physics · Physics 2011-03-10 G. R. Honarasa , M. K. Tavassoly , M. Hatami , R. Roknizadeh

Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2,…

Quantum Physics · Physics 2020-10-14 Wenchao Ge , M. Suhail Zubairy

We investigate the effects of postselected von Neumann measurements on the nonclassical properties of pair coherent states (PCS). We calculated key quantum characteristics, such as squeezing, photon statistics, and entanglement between the…

Quantum Physics · Physics 2025-05-13 Yi-Fang Ren , Janarbek Yuanbek , Yusuf Turek

Quantum non-Gaussian states of photons and phonons are conclusive and direct witnesses of higher-than-quadratic nonlinearities in optical and mechanical processes. Moreover, they are proven resources for quantum sensing, communication and…

Quantum Physics · Physics 2025-03-14 Lukáš Lachman , Radim Filip

Shot noise sets a fundamental limit on the sensitivity of classical optical measurements, with coherent emitters achieving the lowest possible shot-noise level. Emission from sub-Poissonian light provides a pathway to surpass this limit,…

In this article, the possibility of generating non-classical light due to Planck-scale effects is considered. For this purpose, a widely studied model of deformation of the Heisenberg uncertainty relation is applied to single-mode and…

General Relativity and Quantum Cosmology · Physics 2024-11-07 Danilo Artigas , Killian Martineau , Jakub Mielczarek

For almost two decades, it has been believed that the quantum statistical properties of bosons are preserved in plasmonic systems. This idea has been stimulated by experimental work reporting the possibility of preserving nonclassical…