GENERALIZED SUPERPOSITIONS OF SQUEEZED COHERENT STATES

2001 ◽  
Vol 15 (27) ◽  
pp. 1265-1270
Author(s):  
G. M. ABD AL-KADER
Keyword(s):  
Characteristic Function ◽  
Coherent States ◽  
Photon Number ◽  
Number Distribution ◽  
Q Function ◽  
Photon Number Distribution

The superpositions of a pair of squeezed coherent states (SCS) with different squeezing parameters are defined. The characteristic function (CF) for the generalized superpositions of SCSs is given. Photon number distribution for these states is considered. The Q-function for the generalized superposition of SCSs is investigated.

On the Squeezing and Displacement of nth-Order

1997 ◽  
Vol 11 (09n10) ◽  
pp. 399-406
Author(s):  
Norton G. de Almeida ◽  
Célia M. A. Dantas
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Photon Number ◽  
Natural Generalization ◽  
Statistical Properties ◽  
Number Distribution ◽  
Quantum Statistical ◽  
Photon Number Distribution

The norder expressions for the squeezed and coherent states are derived as a natural generalization of the usual squeezed coherent and coherent states. The photon number distribution of n order of squeezed coherent states that are eigenstates of the operators [Formula: see text] is derived. The n order coherent state is a particular case of the states that we are now deriving. Some mathematical and quantum statistical properties of these states are discussed.

NONLINEAR SQUEEZED VACUUM STATES: NONCLASSICAL PROPERTIES

2005 ◽  
Vol 19 (04) ◽  
pp. 715-729 ◽  
Author(s):  
M. DARWISH
Keyword(s):  
Functional Dependence ◽  
Photon Number ◽  
Trapped Ions ◽  
Nonlinearity Parameter ◽  
Squeezed Vacuum ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Vacuum States ◽  
Q Function ◽  
Photon Number Distribution

Some of the properties of nonlinear squeezed vacuum states associated with trapped ions are considered, especially the photon number distribution, the phase properties, the Husimi–Kano Q function and the Wigner–Moyal W function of these nonlinear squeezed vacuum states. The structure of these functions is shown to depend on the nonlinearity parameter, its functional dependence and the squeezing parameter. It is shown that increasing the nonlinearity parameter results in the photon number distribution being squeezed independent.

scholarly journals Optimal time-resolved photon number distribution reconstruction of a cavity field by maximum likelihood

2012 ◽  
Vol 14 (11) ◽  
pp. 115007 ◽  
Author(s):  
C Sayrin ◽  
I Dotsenko ◽  
S Gleyzes ◽  
M Brune ◽  
J M Raimond ◽  
...  
Keyword(s):  
Maximum Likelihood ◽  
Photon Number ◽  
Optimal Time ◽  
Cavity Field ◽  
Time Resolved ◽  
Number Distribution ◽  
Photon Number Distribution

Nonclassicality of photon-modulated spin coherent states in the Holstein-Primakoff realization

2021 ◽  
Author(s):  
Xiaoyan Zhang ◽  
Jisuo Wang ◽  
Lei Wang ◽  
Xiangguo Meng ◽  
Baolong Liang
Keyword(s):  
Coherent States ◽  
Wigner Distribution ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Spin Ladder ◽  
Bernoulli Distribution ◽  
Ladder Operators ◽  
Spin Number ◽  
Photon Number Distribution ◽  
Spin Coherent States

Abstract Two new photon-modulated spin coherent states (SCSs) are introduced by operating the spin ladder operators J ± on the ordinary SCS in the Holstein-Primakoff realization and the nonclassicality is exhibited via their photon number distribution, second-order correlation function, photocount distribution and negativity of Wigner distribution. Analytical results show that the photocount distribution is a Bernoulli distribution and the Wigner functions are only associated with two-variable Hermite polynomials. Compared with the ordinary SCS, the photon-modulated SCSs exhibit more stronger nonclassicality in certain regions of the photon modulated number k and spin number j, which means that the nonclassicality can be enhanced by selecting suitable parameters.

scholarly journals Multimode thermal states with multiphoton subtraction: Study of the photon-number distribution in the selected subsystem

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
K. G. Katamadze ◽  
G. V. Avosopiants ◽  
N. A. Bogdanova ◽  
Yu. I. Bogdanov ◽  
S. P. Kulik
Keyword(s):  
Photon Number ◽  
Number Distribution ◽  
Photon Number Distribution ◽  
Thermal States

scholarly journals su(2) AND su(1,1) DISPLACED NUMBER STATES AND THEIR NONCLASSICAL PROPERTIES

2000 ◽  
Vol 14 (30) ◽  
pp. 1099-1108 ◽  
Author(s):  
HONGCHEN FU ◽  
XIAOGUANG WANG ◽  
CHONG LI ◽  
JIANGONG WANG
Keyword(s):  
Radiation Field ◽  
Photon Number ◽  
Density Dependent ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Intermediate States ◽  
Quantized Radiation Field ◽  
Photon Number Distribution ◽  
Dependent Interaction

We study su(2) and su(1,1) displaced number states. These states are eigenstates of density-dependent interaction systems of quantized radiation field with classical current. These states are intermediate states interpolating between number and displaced number states. Their photon number distribution, statistical and squeezing properties are studied in detail. It shows that these states exhibit strong nonclassical properties.

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