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

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.

Coherent States and Fock States at Very High Average Photon Numbers

1981 ◽  
Vol 34 (4) ◽  
pp. 357
Author(s):  
GJ Troup ◽  
HS Perlman
Keyword(s):  
Coherent State ◽  
Field Intensity ◽  
Laser Field ◽  
Coherent States ◽  
Photon Number ◽  
Constant Field ◽  
Fock States ◽  
Fock State ◽  
Very High ◽  
Average Photon Number

A laser field may be idealized as a coherent state, but it is often more convenient to use Fock states fQr quantum electrodynamical calculations. A Fock state implies fluctuations in the field intensity, aptl a constant field intensity (coherent state) implies fluctuations in the photon number. Both these effects are discussed rigorously. When the average photon number tends to infinity, these different states become asymptotically indistinguishable.

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.

Superposition of single-mode para-Bose coherent states: Generation and nonclassical properties

2018 ◽  
Vol 33 (22) ◽  
pp. 1850134 ◽  
Author(s):  
B. Mojaveri ◽  
A. Dehghani ◽  
R. Jafarzadeh Bahrbeig
Keyword(s):  
Coherent States ◽  
Essential Role ◽  
Relative Phase ◽  
Single Mode ◽  
State Distribution ◽  
Simple Scheme ◽  
Nonclassical Properties ◽  
Deformation Parameters ◽  
Fock State

In this paper, we introduce two classes of superposed states generated by a superposition of two single-mode para-Bose coherent states (CS) with arbitrary relative phase factors. The first class is superposition of two opposite para-Bose CS and second class consists of two para-Bose CS, [Formula: see text] out of phase with each other. These states are reduced to the well-known superposed single-mode CS of the simple harmonic oscillator when the deformation parameter tends to one. We study the nonclassical properties of the introduced states by evaluating their para-Bose Fock state distribution, second-order squeezing, Klyshko’s and Mandel’s parameters. We investigate the essential role of coherent and deformation parameters on their nonclassicality. We show that some nonclassical properties of these states are different from those of the even and odd coherent states. Finally, we present a simple scheme for the physical generation of the introduced states.

Photon-added Bell-type entangled coherent state and some nonclassical properties

2009 ◽  
Vol 87 (12) ◽  
pp. 1233-1245 ◽  
Author(s):  
Hong-Chun Yuan ◽  
Heng-Mei Li ◽  
Hong-Yi Fan
Keyword(s):  
Coherent State ◽  
Quantum Electrodynamics ◽  
Coherent States ◽  
Cavity Quantum Electrodynamics ◽  
Quantum Measurements ◽  
Nonclassical Properties ◽  
Entangled Coherent State ◽  
Creation Operators ◽  
Photon Excitations ◽  
Entangled Coherent States

We introduce a class of the photon-added Bell-type entangled coherent states (PABECSs) obtained from Bell-type entangled coherent states by applying creation operators. We investigate their entanglement characteristics by analyzing the entropy of entanglement and discuss the influence of photon excitations on quantum entanglement. It is shown that applying a creation operator can increase the amount of entanglement. We also study the statistical properties of such states by discussing the behavior of the quasi-probability functions graphically. In addition, a possible scheme is presented to produce the PABECSs by using cavity quantum electrodynamics and quantum measurements.

INTERACTION OF MESOSCOPIC JOSEPHSON JUNCTION WITH A SUCCESSIVE SQUEEZED COHERENT FIELD

2000 ◽  
Vol 14 (16) ◽  
pp. 609-618
Author(s):  
V. A. POPESCU
Keyword(s):  
Coherent State ◽  
Josephson Junction ◽  
Coherent States ◽  
Quantum Noise ◽  
Shapiro Steps ◽  
Superconducting Ring ◽  
Coherent Field ◽  
Current Voltage ◽  
Quantum Current ◽  
The Difference

Signal-to-quantum noise ratio for quantum current in mesoscopic Josephson junction of a circular superconducting ring can be improved if the electromagnetic field is in a successive squeezed coherent state. The mesoscopic Josephson junctions can feel the difference between the successive squeezed coherent states and other types of squeezed coherent states because their current–voltage Shapiro steps are different. We compare our method with another procedure for superposition of two squeezed coherent states (a squeezed even coherent state) and consider the effect of different large inductances on the supercurrent.

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.

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