Nonclassical properties of Hermite polynomial’s coherent state

2012 ◽  
Vol 29 (12) ◽  
pp. 3412 ◽  
Author(s):  
Gang Ren ◽  
Jian-ming Du ◽  
Hai-jun Yu ◽  
Ye-jun Xu
Keyword(s):  
Coherent State ◽  
Nonclassical Properties

Entanglement and nonlocality for a mixture of a pair-coherent state

2003 ◽  
Vol 3 (2) ◽  
pp. 106-115
Author(s):  
S. Mancini ◽  
P. Tombesi
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Single Photon ◽  
Continuous Variables ◽  
Bell’S Inequalities ◽  
Nonclassical Properties ◽  
Pair Coherent State ◽  
Photon Loss ◽  
Phase Randomization ◽  
Degree Of Entanglement

We consider a bipartite continuous variables quantum mixture coming from phase randomization of a pair-coherent state. We study the nonclassical properties of such a mixture. In particular, we quantify its degree of entanglement, then we show possible violations of Bell's inequalities. We also consider the use of this mixture in quantum teleportation. Finally, we compare this mixture with that obtained from a pair-coherent state by single photon loss.

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 of the squeezing and rotating coherent state

2018 ◽  
Vol 96 (12) ◽  
pp. 1365-1372
Author(s):  
Gang Ren ◽  
Jian-ming Du ◽  
Hai-jun Yu
Keyword(s):  
Coherent State ◽  
Parametric Amplifier ◽  
Statistical Properties ◽  
Kerr Medium ◽  
Experimental Scheme ◽  
Nonclassical Properties ◽  
Squeezed Coherent State ◽  
Quantum Statistical

In this paper, we construct and investigate the nonclassical properties of the squeezing and rotating coherent state (SRCS) via a generalized squeezed operator by introducing a novel parameter r. In a particular case r = 0, SRCS reduces to the normal squeezed coherent state (SCS). The influence of r is studied in terms of squeezing and quantum statistical properties. Our results show that in the SCS not only is squeezing enhanced but also is rotated by the parameter r. Our discussion about the fidelity between SRCS and SCS shows that the fidelity values decrease with increasing parameter r. The experimental scheme for producing SRCS is also given via a self-Kerr medium and non-degenerate parametric amplifier.

Zp-graded charge coherent states

2014 ◽  
Vol 29 (20) ◽  
pp. 1450108 ◽  
Author(s):  
Won Sang Chung
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Complex Solution ◽  
Nonclassical Properties

A new kind of charge coherent state called a Zp-graded charge coherent state is constructed by using the complex solution of the equation qp = 1. The p-1 charge operators are also explicitly constructed. We explicitly investigate some nonclassical properties for the Z3-graded charge coherent state.

Exchange of nonclassical properties between two interacting modes of light and mutual conversion of the Fock and coherent states

1999 ◽  
Vol 77 (3) ◽  
pp. 211-220 ◽  
Author(s):  
J Fu ◽  
X -C Gao ◽  
J -B Xu ◽  
X -B Zou
Keyword(s):  
Coherent State ◽  
Numerical Computation ◽  
Coherent States ◽  
Unitary Transformation ◽  
Transformation Method ◽  
Nonclassical Properties ◽  
Fock State ◽  
Mutual Conversion ◽  
03.65 Ge

The invariant-related unitary transformation method is used to study the exchange of nonclassical properties between two interacting modes of light. With the aid of numerical computation, it is of interest to find that the mutual conversion of the Fock state and the coherent state is attained when the interaction is chosen appropriately.PACS Nos.: 03.65.Ge, 42.50.Ar

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