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

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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NONLINEAR SQUEEZED VACUUM STATES: NONCLASSICAL PROPERTIES

International Journal of Modern Physics B ◽

10.1142/s0217979205026725 ◽

2005 ◽

Vol 19 (04) ◽

pp. 715-729 ◽

Cited By ~ 6

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.

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

International Journal of Modern Physics B ◽

10.1142/s0217979216500326 ◽

2016 ◽

Vol 30 (07) ◽

pp. 1650032 ◽

Cited By ~ 5

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.

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

International Journal of Modern Physics B ◽

10.1142/s0217979201005696 ◽

2001 ◽

Vol 15 (15) ◽

pp. 2115-2123 ◽

Cited By ~ 1

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.

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

Modern Physics Letters A ◽

10.1142/s0217732312500137 ◽

2012 ◽

Vol 27 (06) ◽

pp. 1250013 ◽

Cited By ~ 2

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.

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