ON A GENERAL FORMALISM OF NONLINEAR CHARGE COHERENT STATES, THEIR QUANTUM STATISTICS AND NONCLASSICAL PROPERTIES

In this paper, we will present a general formalism for constructing the nonlinear charge coherent states which in special case lead to the standard charge coherent states. The su Q(1, 1) algebra as a nonlinear deformed algebra realization of the introduced states is established. In addition, the corresponding even and odd nonlinear charge coherent states have also been introduced. The formalism has the potentiality to be applied to systems either with known "nonlinearity function" f(n) or solvable quantum system with known "discrete nondegenerate spectrum" en. As some physical appearances, a few known physical systems in the two mentioned categories have been considered. Finally, since the construction of nonclassical states is a central topic of quantum optics, nonclassical features and quantum statistical properties of the introduced states have been investigated by evaluating single- and two-mode squeezing, su (1, 1)-squeezing, Mandel parameter and antibunching effect (via g-correlation function) as well as some of their generalized forms we have introduced in the present paper.

Download Full-text

COHERENT STATES FOR NONLINEAR TWO-BOSON REALIZATION OF THE ISOTROPIC OSCILLATOR ALGEBRA ON A SPHERE

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s021988781350028x ◽

2013 ◽

Vol 10 (07) ◽

pp. 1350028 ◽

Cited By ~ 4

Author(s):

A. MAHDIFAR

Keyword(s):

Quantum Entanglement ◽

Coherent States ◽

Physical Space ◽

Statistical Properties ◽

Oscillator Algebra ◽

Deformation Function ◽

Boson Realization ◽

Nonclassical Properties ◽

Quantum Statistical

In this paper, we generalize Schwinger realization of the 𝔰𝔲(2) algebra to construct a two-mode realization for deformed 𝔰𝔲(2) algebra on a sphere. We obtain a nonlinear (f-deformed) Schwinger realization with a deformation function corresponding to the curvature of sphere that in the flat limit tends to unity. With the use of this nonlinear two-mode algebra, we construct the associated two-mode coherent states (CSs) on the sphere and investigate their quantum entanglement. We also compare the quantum statistical properties of the two modes of the constructed CSs, including anticorrelation and antibunching effects. Particularly, the influence of the curvature of the physical space on the nonclassical properties of two modes is clarified.

Download Full-text

ON THE EFFECT OF TEMPORAL STABILITY OF COHERENT STATES ON THE STABILITY OF NONCLASSICALITY FEATURES

International Journal of Modern Physics B ◽

10.1142/s0217979212501603 ◽

2012 ◽

Vol 26 (29) ◽

pp. 1250160

Author(s):

T. MAHDIPOOR ◽

M. K. TAVASSOLY

Keyword(s):

Correlation Function ◽

Coherent States ◽

Temporal Stability ◽

Second Order ◽

Stable States ◽

Mandel Parameter ◽

Nonclassical Properties ◽

Auto Correlation Function ◽

The Stability ◽

Quantum Feature

Upon the importance of the preservation of nonclassical properties, in this paper we investigate the effect of temporal stability on the stability of nonclassicality features of two classes of generalized coherent states that are temporal stable and nontemporal stable. We use the Gazeau–Klauder coherent states as the temporal stable states and nonlinear coherent states as the nontemporal stable states. Among the nonclassical criteria, we pay attention to first and second-order squeezing, Mandel parameter, second-order correlation function, Wigner and Hussimi functions. In addition, the auto-correlation function of states are obtained and the quantum feature of the observed revival and collapse phenomena of the two considered classes of states are compared.

Download Full-text

Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2010.10.049 ◽

2011 ◽

Vol 390 (7) ◽

pp. 1381-1392 ◽

Cited By ~ 14

Author(s):

G.R. Honarasa ◽

M.K. Tavassoly ◽

M. Hatami ◽

R. Roknizadeh

Keyword(s):

Coherent States ◽

Quantum Systems ◽

Nonclassical Properties ◽

Generalized Coherent States ◽

Solvable Quantum ◽

Discrete Spectra

Download Full-text

COHERENT STATE OF α-DEFORMED WEYL–HEISENBERG ALGEBRA

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s021988781350014x ◽

2013 ◽

Vol 10 (05) ◽

pp. 1350014 ◽

Cited By ~ 8

Author(s):

SH. DEHDASHTI ◽

A. MAHDIFAR ◽

R. ROKNIZADEH

Keyword(s):

Coherent State ◽

Harmonic Oscillator ◽

Coherent States ◽

Heisenberg Algebra ◽

Statistical Properties ◽

Potential Well ◽

Mandel Parameter ◽

Boson Realization ◽

Deformed Algebra

At first, we introduce α-deformed algebra as a kind of generalization of the Weyl–Heisenberg algebra so that we get the su(2)- and su(1, 1)-algebras whenever α has specific values. After that, we construct coherent states of this algebra. Third, a realization of this algebra is given in the system of a harmonic oscillator confined at the center of a potential well. Then, we introduce two-boson realization of the α-deformed Weyl–Heisenberg algebra and use this representation to write α-deformed coherent states in terms of the two modes number states. Following these points, we consider mean number of excitations (we call them in general photons) and Mandel parameter as statistical properties of the α-deformed coherent states. Finally, the Fubini–Study metric is calculated for the α-coherent states manifold.

Download Full-text

Entanglement Generation and Nonclassical Properties of Nonlinear Coherent States Created By Repeating the Photon Addition and Subtraction

Journal of Russian Laser Research ◽

10.1007/s10946-021-09960-7 ◽

2021 ◽

Author(s):

O. Aldaghri ◽

K. Berrada

Keyword(s):

Coherent States ◽

Entanglement Generation ◽

Nonclassical Properties ◽

Addition And Subtraction ◽

Photon Addition

Download Full-text

Trends in the evolution of ecology: “Spain is different”

Web Ecology ◽

10.5194/we-4-14-2003 ◽

2003 ◽

Vol 4 (1) ◽

pp. 14-21 ◽

Cited By ~ 4

Author(s):

A. Cordero Rivera

Keyword(s):

Evolutionary Ecology ◽

Scientific Discipline ◽

Relative Importance ◽

Temporal Development ◽

Physical Systems ◽

Historical Factors ◽

The World ◽

University Department ◽

Evolutionary Concepts ◽

Special Case

Abstract. During the last fifty years ecology has matured as a scientific discipline. In this paper I analyse the temporal development of the paradigm based on physical systems (the ecosystem paradigm), and the evolutionary ecology paradigm. I first analyse the contents of 61 textbooks to calculate the relative importance of ecosystem and evolutionary ecology in the training of new generations of ecologists. Results indicate that the evolutionary approach is becoming more important since 1980, and now most textbooks dedicate 10–20% of their pages to evolutionary concepts. In a second analysis I searched the names of ecology departments in universities around the world, and found out conspicuous differences between USA, where 43% of addresses associate ecology and evolution or behaviour on the same department, and Europe, where only 10% of ecology departments also include a reference to evolution or behaviour in their name. In both analyses Spain seems to follow only the ecosystem paradigm, because Spanish textbooks dedicate almost no pages to evolutionary concepts, and there is not a single university department that includes ecology and evolution. A further bibliometric study confirmed that Spanish ecologists prefer to publish their research in general ecology journals, and are under-represented in evolutionary ecology journals. I discuss the importance of historical factors on the development of paradigms of ecology, and the special case of Spain, likely due to the influence of pioneers working in oceanography, limnology and geography.

Download Full-text

Dynamics of entropy and quantum statistical properties of the field in the interaction of a single two-level atom with a superposition of nonlinear coherent states in the framework of f-deformed Jaynes–Cummings model

Optical and Quantum Electronics ◽

10.1007/s11082-016-0700-1 ◽

2016 ◽

Vol 48 (9) ◽

Author(s):

Omid Abbasi ◽

Akbar Jafari

Keyword(s):

Coherent States ◽

Statistical Properties ◽

Level Atom ◽

Quantum Statistical

Download Full-text

Quantum Filtering Equations for a System Driven by Nonclassical Fields

Open Systems & Information Dynamics ◽

10.1142/s1230161218500075 ◽

2018 ◽

Vol 25 (02) ◽

pp. 1850007 ◽

Cited By ~ 2

Author(s):

Anita Da̧browska

Keyword(s):

Quantum System ◽

Coherent States ◽

Single Photon ◽

Photon Counting ◽

Stochastic Evolution ◽

Input Output ◽

Nonclassical States ◽

Cascade System ◽

Unitary Evolution ◽

Photon States

Using Gardiner and Collet’s input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by light in some specific nonclassical states. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the nonclassical states of field: a combination of vacuum and single photon states and a mixture of two coherent states. The stochastic evolution conditioned on the results of the photon counting and quadrature measurements is described.

Download Full-text