Coherent and squeezed states: Introductory review of basic notions, properties, and generalizations

O Rosas-Ortiz - Integrability, Supersymmetry and Coherent States: A …, 2019 - Springer
A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …

The construction of some important classes of generalized coherent states: the nonlinear coherent states method

R Roknizadeh, MK Tavassoly - Journal of Physics A …, 2004 - iopscience.iop.org
Considering some important classes of generalized coherent states known in the literature,
we demonstrated that all of them can be created via conventional methods, ie the'lowering …

Deformed photon-added nonlinear coherent states and their non-classical properties

O Safaeian, MK Tavassoly - Journal of Physics A: Mathematical …, 2011 - iopscience.iop.org
In this paper, we will try to present a general formalism for the construction of deformed
photon-added nonlinear coherent states (DPANCSs)| α, f, m⟩, which in a special case lead …

Pseudobosons, Riesz bases, and coherent states

F Bagarello - Journal of mathematical physics, 2010 - pubs.aip.org
In a recent paper, Trifonov suggested a possible explicit model of a PT-symmetric system
based on a modification of the canonical commutation relation. Although being rather …

Phase space nonclassicality and sub-Poissonianity of deformed photon-added nonlinear cat states: algebraic and group theoretical approach

S Torkzadeh-Tabrizi, MJ Faghihi, G Honarasa - Optics Letters, 2023 - opg.optica.org
In this Letter, we introduce four distinct classes of f-deformed photon-added nonlinear cat
state. This would be achieved by recalling a nonlinear coherent states approach, as well as …

Construction of the dual family of Gazeau–Klauder coherent states via temporally stable nonlinear coherent states

R Roknizadeh, MK Tavassoly - Journal of mathematical physics, 2005 - pubs.aip.org
Using the analytic representation of the so-called Gazeau–Klauder coherent states (CSs),
we shall demonstrate that how a new class of generalized CSs, namely the family of dual …

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

MJ Faghihi - Annalen der Physik, 2020 - Wiley Online Library
In this paper, by making use of the nonlinear coherent states approach, the generalized
photon added and subtracted f‐deformed displaced Fock states are introduced. In other …

Topological argument for robustness of coherent states in quantum optics

S Biswas, A De, A Dutt - arXiv preprint arXiv:2409.12292, 2024 - arxiv.org
Coherent states, being the closest analog to classical states of wave systems, are well
known to possess special properties that set them apart from most other quantum optical …

Generation of a class of SU (1, 1) coherent states of the Gilmore–Perelomov type and a class of SU (2) coherent states and their superposition

SR Miry, MK Tavassoly - Physica Scripta, 2012 - iopscience.iop.org
In this paper, we first suggest a scheme for the generation of a particular class of Gilmore–
Perelomov-type SU (1, 1) coherent states, which may be established as nonlinear coherent …

Quantum engineering and nonclassical properties of SU (1, 1) and SU (2) entangled nonlinear coherent states

A Karimi, MK Tavassoly - JOSA B, 2014 - opg.optica.org
In this paper, after a brief review on the entangled coherent state, a general form of the
entangled nonlinear coherent state has been introduced based on the nonlinear coherent …