Modified photon-added coherent states: Generation and relatedentangled states

2008 ◽  
Vol 86 (12) ◽  
pp. 1387-1392 ◽  
Author(s):  
M -L Liang ◽  
J -N Zhang ◽  
B Yuan
Keyword(s):  
Coherent State ◽  
Radiation Field ◽  
Coherent States ◽  
Hermitian Operator ◽  
Field Interaction ◽  
Wave Approximation ◽  
New Type ◽  
The One ◽  
Entangled Coherent States ◽  
03.65 Ud

We construct one new type of quantum state that we call the modified photon-added coherent state (MPACS) of the radiation field. These states are created by repeatedly applying the Hermitian operator (a + a+) to the coherent state m times. It turns out that these states are the superpositions of the coherent and the photon-added coherent states, and have highly nonclassical behavior depending on the excitation m and other parameters. The one-mode and two-mode modified entangled coherent states are also studied. MPACS can be generated through the atom-field interaction under the nonrotating wave approximation. PACS Nos.: 42.50.Dv, 03.65.Ca, 03.65.Ud

scholarly journals A COHERENT STATE PATH INTEGRAL FOR ANYONS

1995 ◽  
Vol 10 (12) ◽  
pp. 985-989 ◽  
Author(s):  
J. GRUNDBERG ◽  
T.H. HANSSON
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Coherent States ◽  
Integral Formula ◽  
Harmonic Potential ◽  
One Dimensional ◽  
Change Of Variables ◽  
The One ◽  
State Path

We derive an su (1, 1) coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential. By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy. The shift is the same as the one obtained for anyons by other methods. We justify the procedure by showing that the change of variables corresponds to an su (1, 1) version of the Holstein-Primakoff transformation.

EFFECT OF DECOHERENCE ON FIDELITY IN TELEPORTATION OF ENTANGLED COHERENT STATES

2008 ◽  
Vol 06 (05) ◽  
pp. 1077-1092 ◽  
Author(s):  
H. PRAKASH ◽  
N. CHANDRA ◽  
R. PRAKASH ◽  
SHIVANI
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Low Noise ◽  
Entangled States ◽  
Average Fidelity ◽  
High Noise ◽  
Maximum Value ◽  
Entangled Coherent States ◽  
Suggested Modification

We consider the scheme proposed by Wang [Phys. Rev. A64 (2001) 022302] for teleporting bipartite entangled states, which is a superposition of coherent states |α,α〉 and |-α,-α〉, with our suggested modification [Phys. Rev. A75 (2007) 044305] and discuss the effect of decoherence on teleportation fidelity. We find that if no photons are counted in both final outputs, the minimum assured fidelity (MAF), which is the minimum of the fidelity for any arbitrary information), is still nonzero except for the case when there is no decoherence and the information is in even coherent state. For non-zero photon counts, MAF decreases with increase in |α|2 for low noise but in the case of high noise, it increases, attains a maximum value and then decreases with |α|2. We discuss the variation of average fidelity with |α|2 and show that it depends appreciably on the information for low values of |α|2 only.

scholarly journals A TREATMENT OF THE QUANTUM PARTIAL ENTROPIES IN THE ATOM-FIELD INTERACTION WITH A CLASS OF SCHRÖDINGER CAT STATES

2005 ◽  
Vol 03 (03) ◽  
pp. 591-602 ◽  
Author(s):  
A.-S. F. OBADA ◽  
H. A. HESSIAN ◽  
MAHMOUD ABDEL-ATY
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Stark Shift ◽  
Initial State ◽  
Field Interaction ◽  
Composite State ◽  
Quantum Dynamical ◽  
Initial States ◽  
Schrödinger Cat ◽  
Cat States

This paper is an enquiry into the circumstances under which entropy and subentropy methods can give an answer to the question of quantum entanglement in the composite state. Using a general quantum dynamical system, we obtain the analytical solution when the atom initially starts from its excited state and the field in different initial states. Different features of the entanglement are investigated when the field is initially assumed to be in a coherent state, an even coherent state (Schrödinger cate state), and a statistical mixture of coherent states. Our results show that the setting of the initial state and the Stark shift play important roles in the evolution of the sub-entropies and entanglement.

A NEW TYPE OF q-COHERENT STATES AND ITS APPLICATIONS

1996 ◽  
Vol 11 (03) ◽  
pp. 199-206 ◽  
Author(s):  
YAPING YANG ◽  
ZURONG YU
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Quantum Algebra ◽  
New Type

In this letter, a new type of q-coherent states with M components is introduced. Some properties of the q-coherent state are discussed. The cycle representations of quantum algebra SU q(2) are obtained by means of the two-mode q-coherent 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.

Coherent states attached to the quantum disc algebra and their associated polynomials

2021 ◽  
pp. 2150078
Author(s):  
H. Fakhri ◽  
M. Refahinozhat
Keyword(s):  
Coherent States ◽  
Jacobi Polynomials ◽  
Hermite Polynomials ◽  
Hermitian Operator ◽  
Fock Representation ◽  
Disc Algebra ◽  
Variable Formula ◽  
Associated Polynomials ◽  
Hermitian Conjugate ◽  
The One

The one-variable [Formula: see text]-coherent states attached to the [Formula: see text]-disc algebra are constructed and used to obtain the [Formula: see text]-Bargmann–Fock realization of its Fock representation. Then, this realization is used to obtain the [Formula: see text]-continuous Hermite polynomials as well as continuous and discrete [Formula: see text]-Hermite polynomials by using a pair of Hermitian canonical conjugate operators and two pairs of the non-Hermitian conjugate operators, respectively. Besides, we introduce a two-variable family of [Formula: see text]-coherent states attached to the Fock representation space of the [Formula: see text]-disc algebra and its opposite algebra and obtain their simultaneous [Formula: see text]-Bargmann–Fock realization. For an appropriate non-Hermitian operator, the latter realization is served to obtain the well-known little [Formula: see text]-Jacobi polynomials used in constructing the [Formula: see text]-disc polynomials.

scholarly journals V. On a new type of crustacean from the old red sandstone (Rhymie Chert Bed, Aberdeenshire) — Lepidocaris rhyniensis , gen. et sp. nov

1926 ◽  
Vol 214 (411-420) ◽  
pp. 153-187 ◽  
Keyword(s):  
Land Plants ◽  
British Association ◽  
Subsequent Work ◽  
Red Sandstone ◽  
Animal Remains ◽  
Rhynie Chert ◽  
New Type ◽  
The One

The Chert Bed of Middle, or possibly Lower, Old Red Sandstone age discovered by Dr. W. Mackie (1914) at Rhynie, in Aberdeenshire, has become famous among palæo-botanists on account of the beautifully preserved remains of the earliest known land plants, described by the late Dr. Kidston and Prof. Lang (1917-1921). In addition to the plants, however, the Rhynie Chert also contains animal remains, for the most part very small and in a very fragmentary condition, although the fragments themselves are in many cases exceedingly well preserved. The vast majority of these animal remains are evidently Crustacean in character, and it was at first thought (see British Association Report, 1919, p. 110) that they belonged to several, or at least to two, different species. Subsequent work has, however, convinced me that all the Crustacean remains so far seen in the Rhynie Chert belong to the one species described in this paper.

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.

scholarly journals Bipartite quantum channels using multipartite cluster-type entangled coherent states

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
P. P. Munhoz ◽  
J. A. Roversi ◽  
A. Vidiella-Barranco ◽  
F. L. Semião
Keyword(s):  
Coherent States ◽  
Quantum Channels ◽  
Cluster Type ◽  
Entangled Coherent States
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