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Using the Wigner distribution function, we analyze the behavior on phase space of generalized coherent states associated with the Morse potential (Morse-like coherent states). Within the f-deformed oscillator formalism, such states are…

Quantum Physics · Physics 2018-02-27 O. de los Santos-Sánchez , J. Récamier

An algebro-operator approach, called shape invariant potential method, of constructing generalized coherent states for photon-added particle system is presented. Illustration is given on Poschl-Teller potential.

Mathematical Physics · Physics 2017-04-21 Komi Sodoga , Isiaka Aremua , Mahouton Norbert Hounkonnou

Using the {\it nonlinear coherent states method}, a formalism for the construction of the coherent states associated to {\it "inverse bosonic operators"} and their dual family has been proposed. Generalizing the approach, the "inverse of…

Quantum Physics · Physics 2009-07-07 M. K. Tavassoly

Nonclassical properties of photon added and subtracted displaced Fock states have been studied using various witnesses of lower- and higher-order nonclassicality. Compact analytic expressions are obtained for the nonclassicality witnesses.…

We construct a new family of q-deformed coherent states $|z>_q$, where $0 < q < 1$. These states are normalizable on the whole complex plane and continuous in their label $z$. They allow the resolution of unity in the form of an ordinary…

Quantum Physics · Physics 2009-11-07 C. Quesne

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

We compare the lower and higher order non-classicality of a class of the photon-added Bell-type entangled coherent states (PBECS) got from Bell-type entangled coherent states using creation operators. We obtained lower and higher order…

Quantum Physics · Physics 2023-05-30 Deepak , Arpita Chatterjee

Conditional addition of photons represents a crucial tool for optical quantum state engineering and it forms a fundamental building block of advanced quantum photonic devices. Here we report on experimental implementation of the conditional…

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

In this paper, we introduce an algebraic approach to construct Fokas-Lagerstrom coherent states. To do so, we define deformed creation and annihilation operators associated to this system and investigate their algebra. We show that these…

Quantum Physics · Physics 2020-07-15 Mehdi Ashrafi , Ali Mahdifar , Ehsan Amooghorban

We construct generalized coherent states (GCS) of a massive accelerated particle. This example is an important step in studying coherent states (CS) for systems with an unbounded motion and a continuous spectrum. First, we represent quantum…

Quantum Physics · Physics 2025-05-06 A. I. Breev , D. M. Gitman , Paulo A. Derolle

The effects of von Neumann postselected measurement on nonclassicality of single-photon-added coherent state (SPACS) are studied. Explicit expressions and analytical results for various field properties of SPACS such as the photon number…

Quantum Physics · Physics 2022-02-16 Yusuf Turek

We construct a class of nonlinear coherent states (NLCSs) by introducing a more general nonlinear function and study their non-classical properties, specifically the second-order correlation function $g^{(2)}(0)$, Mandel parameter $Q$,…

Quantum Physics · Physics 2024-01-02 Cheng Zhang , Rui-Jiao Miao , Xiao-Qiu Qi

We introduce a novel class of coherent states, termed $\mathcal{W}^{(\bar{\alpha},\bar{\nu})}(z)$-coherent states, constructed using a deformed boson algebra based on the generalized factorial $[n]_{\alpha,\beta,\nu}!$. This algebra extends…

Quantum Algebra · Mathematics 2025-02-28 Riccardo Droghei

The purposes of this work are (1) to show that the appropriate generalizations of the oscillator algebra permit the construction of a wide set of nonlinear coherent states in unified form; and (2) to clarify the likely contradiction between…

Quantum Physics · Physics 2018-04-17 Kevin Zelaya , Oscar Rosas-Ortiz , Zurika Blanco-Garcia , Sara Cruz y Cruz

Probabilistic amplification through photon addition, at the output of an Mach-Zehnder interferometer is discussed for a coherent input state. When a metric of signal to noise ratio is considered, nondeterministic, noiseless amplification of…

A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label and resolution of the identity operator with a positive weight…

Quantum Physics · Physics 2023-03-28 Filippo Giraldi , Francesco Mainardi

In this letter, we present a simple and versatile scheme for enhancing the nonclassical properties of light states using only linear optics and photodetectors. By combining a coherent state $|\alpha\rangle$ and an arbitrary pure state of…

Quantum Physics · Physics 2023-10-17 E. P. Mattos , A. Vidiella-Barranco

We address nonclassicality of hybrid coherent states (HCS), i.e. states expressed as superpositions of coherent states and single-photon-added coherent (SPAC) state. In particular, we evaluate their photon statistics, squeezing, and…

Quantum Physics · Physics 2023-07-05 Yusuf Turek , Nuerbiya Aishan , Akbar Islam

We investigate the superposition of coherent states, emphasizing quantum states with distinct Wigner phase-space features relevant to quantum information applications. In this study, we introduce generalized versions of the compass state,…

Quantum Physics · Physics 2025-08-26 Tan Hailin , Naeem Akhtar , Gao Xianlong