PHOTON-NUMBER DISTRIBUTION AND WIGNER FUNCTION OF GENERALIZED PHOTON-MODULATED COHERENT STATE

2012 ◽  
Vol 27 (06) ◽  
pp. 1250013 ◽  
Author(s):  
JUN ZHOU ◽  
SHUAI WANG ◽  
JUN SONG ◽  
HONG-YI FAN
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Single Variable ◽  
Normalization Factor ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Quantum Statistical ◽  
Photon Number Distribution

In this paper, we present the generalized photon-modulated coherent state (GPMCS) generated by repeatedly operating the combination of Bosonic creation and annihilation operators on the coherent state. It is found that the GPMCS is a Hermite-excited coherent state and its normalization factor is related to single-variable Hermite polynomials. Furthermore, some significant quantum statistical properties of the GPMCS are investigated, such as photon-number distribution (PND) and the Wigner function (WF). We find that the WF of the GPMCS has negative values when the generalized photon-modulation exists, which implies the nonclassical properties of the GPMCS.

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.

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.

Nonclassical properties and teleportation in the two-mode photon-added displaced squeezed states

2016 ◽  
Vol 30 (07) ◽  
pp. 1650032 ◽  
Author(s):  
Nguyen Thi Xuan Hoai ◽  
Truong Minh Duc
Keyword(s):  
Wigner Function ◽  
Photon Number ◽  
Squeezed States ◽  
Average Fidelity ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Analytic Expressions ◽  
And Shifts ◽  
Photon Addition ◽  
Photon Number Distribution

In this paper, we study the nonclassical properties and find out the effect of photon addition on these properties as well as the process of teleportation in the two-mode photon-added displaced squeezed (TMPADS) states. We derive the analytic expressions of the Wigner function, the photon number distribution and the intermode photon antibunching for these states. We show that photon addition operation not only makes the Wigner function become negative but also leads to increase the degree of antibunching. The peak of the photon number distribution becomes flatter and shifts to the greater number of photons by adding photons to both modes simultaneously. Furthermore, it is proved that the degree of intermodal entanglement becomes bigger and bigger through increasing the number of photons added to both modes. As expected, when using these states as an entanglement resource to teleport a state, the average fidelity of teleportation process is also improved by increasing the number of added photons.

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.

NONCLASSICALITY AND DECOHERENCE OF PHOTON-ADDED THERMAL STATE

2010 ◽  
Vol 08 (08) ◽  
pp. 1373-1387 ◽  
Author(s):  
SHU-JING WANG ◽  
XUE-XIANG XU ◽  
SHAN-JUN MA
Keyword(s):  
Thermal State ◽  
Thermal Environment ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Single Variable ◽  
State Characteristic ◽  
Number Formula ◽  
Analytical Expressions ◽  
Average Photon Number ◽  
Photon Number Distribution

Using the normally ordered form of thermal state characteristic of average photon number nc, we introduce the photon-added thermal state (PATS) and investigate its statistical properties, such as Mandel's Q-parameter, photon number distribution (PND), and Wigner function (WF). We then study its decoherence in a thermal environment with average thermal photon number [Formula: see text] and dissipative coefficient κ by deriving analytical expressions of the WF. The nonclassicality is discussed in terms of the negativity of the WF. It is found that the WF is always positive when [Formula: see text] for any number PATS. The expression for time evolution of the PND and the tomogram of PATS are also derived analytically, which are related to hypergeometric function and single variable Hermite polynomials.

Photon-Number Distribution and Wigner Function of Generalized Squeezed Thermal State

2012 ◽  
Vol 51 (9) ◽  
pp. 2681-2689 ◽  
Author(s):  
Jun Zhou ◽  
Jun Song ◽  
Hao Yuan ◽  
Bo Zhang ◽  
Chuan-Mei Xie ◽  
...  
Keyword(s):  
Wigner Function ◽  
Thermal State ◽  
Photon Number ◽  
Number Distribution ◽  
Photon Number Distribution

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.

NONCLASSICAL PROPERTIES AND HOLE BURNING IN THE REAL AND IMAGINARY BINOMIAL STATES

2001 ◽  
Vol 15 (15) ◽  
pp. 2115-2123 ◽  
Author(s):  
JING LIAO ◽  
XIAOGUANG WANG ◽  
LING-AN WU ◽  
SHAO-HUA PAN
Keyword(s):  
Quantum Interference ◽  
Photon Number ◽  
Hole Burning ◽  
The Real ◽  
Ladder Operator ◽  
Nonclassical Properties ◽  
Number Distribution ◽  
Poissonian Statistics ◽  
Photon Number Distribution

We study the nonclassical properties of the real and imaginary binomial states formed by a superposition of the binomial states of Stoler et al. Their sub-Poissonian statistics and squeezing properties are studied in detail. These states have holes in the photon-number distribution, due to quantum interference between the two conjugate components. The corresponding ladder operator formalisms of these states are given.

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
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