Nonclassical Properties of the Even and Odd Intermediate Number Squeezed States

1998 ◽  
Vol 12 (01) ◽  
pp. 23-33 ◽  
Author(s):  
B. Roy
Keyword(s):  
Coherent States ◽  
Squeezed States ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Poissonian Statistics

The even and odd intermediate number squeezed states are introduced. These states reduce to even (odd) number states and even (odd) squeezed coherent states in different limits. It is shown that these states exhibit nonclassical effects such as sub (super) Poissonian statistics, quadrature squeezing, antibunching for certain ranges of the parameters involved.

Photon-catalyzed optical coherent states generated via a non-degenerate parametric amplifier with quantum-optical catalysis

2020 ◽  
Vol 98 (2) ◽  
pp. 119-124 ◽  
Author(s):  
Hong-Chun Yuan ◽  
Xue-Xiang Xu ◽  
Heng-Mei Li ◽  
Ye-Jun Xu ◽  
Xiang-Guo Meng
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Coherent States ◽  
Laguerre Polynomial ◽  
Photon Number ◽  
Parametric Amplifier ◽  
Normalization Factor ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Quantum Optical

We theoretically generate a kind of photon-catalyzed optical coherent states (PCOCSs) by heralded interference between any photons and coherent state via a non-degenerate parametric amplifier, which is also just a Laguerre polynomial excited coherent state. Based on obtaining the probability of successfully detecting them (also the normalization factor), the nonclassical properties of the PCOCSs are analytically investigated according to autocorrelation function, quadrature squeezing, and the negativity of the Wigner function. It is found that the nonclassicality depends on the amplitude of the coherent state, the catalysis photon number, and amplifier parameter. The negative volume of their Wigner function can be enlarged by increasing the catalysis photon number. These parameters may be effectively used to improve and enhance the nonclassical characteristics.

Even and odd Wigner negative binomial states: Nonclassical properties

2015 ◽  
Vol 30 (37) ◽  
pp. 1550198 ◽  
Author(s):  
B. Mojaveri ◽  
A. Dehghani
Keyword(s):  
Negative Binomial ◽  
Heisenberg Algebra ◽  
Positive Definite ◽  
Fock Representation ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Mandel’S Parameter ◽  
Special Limit ◽  
Cat States ◽  
Poissonian Statistics

By using Wigner–Heisenberg algebra (WHA) and its Fock representation, even and odd Wigner negative binomial states (WNBSs) [Formula: see text] ([Formula: see text] corresponds to the ordinary even and odd negative binomial states (NBSs)) are introduced. These states can be reduced to the Wigner cat states in special limit. We establish the resolution of identity property for them through a positive definite measure on the unit disc. Some of their nonclassical properties, such as Mandel’s parameter and quadrature squeezing have been investigated numerically. We show that in contrast with the even NBSs, even WNBSs may exhibit sub-Poissonian statistics. Also squeezing in the field quadratures appears for both even and odd WNBSs. It is found that the deformation parameter [Formula: see text] plays an essential role in displaying highly nonclassical behaviors.

Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq

2017 ◽  
Vol 14 (11) ◽  
pp. 1750165 ◽  
Author(s):  
H. Fakhri ◽  
M. Sayyah-Fard
Keyword(s):  
Complex Plane ◽  
Coherent States ◽  
Uncertainty Relation ◽  
Photon Statistics ◽  
Squeezing Effect ◽  
Nonclassical Properties ◽  
Heisenberg’S Inequality ◽  
Photon Antibunching ◽  
Poissonian Statistics

This work has focused on the violation of uncertainty relation, squeezing effect, photon antibunching and sub-Poissonian statistics for the Arik–Coon [Formula: see text]-oscillator coherent states associated with the noncommutative complex plane [Formula: see text]. It is shown that one has to use a generalized definition for the covariance between the operators [Formula: see text] and [Formula: see text]. For [Formula: see text], Heisenberg's inequality violation with two different behaviors related to the role of the deformation parameter [Formula: see text] on the variances of the position and momentum operators is illustrated. We conclude that both weak and strong squeezing effects are exhibited by the [Formula: see text]-coherent states. In particular, strong squeezing effect is a direct consequent of the violation of Heisenberg's inequality. Moreover, the photon antibunching and sub-Poissonian photon statistics are two features of the [Formula: see text]-coherent states which are realized simultaneously with the squeezing effects. Clearly, the three later behaviors are different from their corresponding counterparts in the Arik–Coon [Formula: see text]-oscillator coherent states associated with a commutative complex plane.

Even and odd coherent states of supersymmetric harmonic oscillators and their nonclassical properties

2016 ◽  
Vol 30 (07) ◽  
pp. 1650026 ◽  
Author(s):  
Davood Afshar ◽  
Amin Motamedinasab ◽  
Azam Anbaraki ◽  
Mojtaba Jafarpour
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Bell States ◽  
Harmonic Oscillators ◽  
Nonclassical Properties ◽  
Logical Qubits ◽  
Poissonian Statistics

In this paper, we have constructed even and odd superpositions of supercoherent states, similar to the standard even and odd coherent states of the harmonic oscillator. Then, their nonclassical properties, that is, squeezing and entanglement have been studied. We have observed that even supercoherent states show squeezing behavior for some values of parameters involved, while odd supercoherent states do not show squeezing at all. Also sub-Poissonian statistics have been observed for some ranges of the parameters in both states. We have also shown that these states may be considered as logical qubits which reduce to the Bell states at a limit, with concurrence equal to 1.

scholarly journals Maximally Entangled SU(1,1) Semi Coherent States

2021 ◽  
Author(s):  
A.-S. F. Obada ◽  
M. M. A. Ahmed ◽  
Hoda A. Ali ◽  
Somia Abd-Elnabi ◽  
S. Sanad
Keyword(s):  
Distribution Function ◽  
Correlation Function ◽  
Probability Distribution Function ◽  
Coherent States ◽  
Distribution Functions ◽  
Entangled States ◽  
Nonclassical Properties ◽  
Quadrature Squeezing ◽  
Maximally Entangled States ◽  
Quasiprobability Distribution

AbstractIn this paper, we consider a special type of maximally entangled states namely by entangled SU(1,1) semi coherent states by using SU(1,1) semi coherent states(SU(1,1) Semi CS). The entanglement characteristics of these entangled states are studied by evaluating the concurrence.We investigate some of their nonclassical properties,especially probability distribution function,second-order correlation function and quadrature squeezing . Further, the quasiprobability distribution functions (Q-functions) is discussed.

SUPERPOSITION OF THE λ-PARAMETERIZED SQUEEZED STATES

2000 ◽  
Vol 14 (07n08) ◽  
pp. 243-250
Author(s):  
XIAO-GUANG WANG ◽  
HONGCHEN FU
Keyword(s):  
Algebraic Characterization ◽  
Squeezed States ◽  
Nonclassical Properties ◽  
Intermediate States ◽  
Schrödinger Cat ◽  
Cat States ◽  
Superposition States

The superposition states of the λ-parameterized squeezed states are introduced and investigated. These states are intermediate states interpolating between the number and Schrödinger cat states and admit algebraic characterization in terms of su(1, 1) algebra. It is shown that these states exhibit remarkable nonclassical properties.

Thermal Coherent States and Thermal Squeezed States

1991 ◽  
Vol 38 (12) ◽  
pp. 2339-2347 ◽  
Author(s):  
J. Oz-Vogt ◽  
A. Mann ◽  
M. Revzen
Keyword(s):  
Coherent States ◽  
Squeezed States

Nonclassical Properties of Fields in Pair Coherent States Interacting With Two Two-Level Atoms

2010 ◽  
Vol 30 (10) ◽  
pp. 3054-3058 ◽  
Author(s):  
郑小兰 Zheng Xiaolan ◽  
陈子翃 Chen Zihong
Keyword(s):  
Coherent States ◽  
Nonclassical Properties
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