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Canadian Journal of Physics

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

Hong‐Chun Yuan, Heng-Mei Li, Hong-Yi Fan

Published Dec 1, 2009• 9 citations
Publisher

Abstract

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.

DOI
10.1139/p09-092

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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.
An entangled quantum state is considered by applying a local photon excitation to each mode of an entangled coherent state.The entanglement property is investigated in terms of the entropy of entanglement.It is shown that applying a photon addition can improve the amount of entanglement.It is also examined that in a specific region of parameters, the state |ψ - 1 (α, m, n) is least entangled when photon excitation is minimum.We study the statistical properties of such states by employing the quasi-probability functions.
We compare the lower and higher order non-classicality of a class of the photon-added Bell-type entangled coherent states (PBECS) got from Bell-type entangled coherent states using creation operators. We obtained lower and higher order criteria namely Mandel's QmlQ_m^lQml​, antibunching dhl−1d_h^{l-1}dhl−1​, Subpoissioning photon statistics Dh(l−1)D_h(l-1)Dh​(l−1) and Squeezing S(l)S(l)S(l) for the states obtained. Further we observe that first three criteria does not gives non-classicality for any state and higher order criteria gives very high positive values for all values of parameters. Also the fourth or last criterion S(l)S(l)S(l) gives non-classicality for lower order as well as higher order.
This paper introduces two types of two-mode excited entangled coherent states (TMEECSs) |Ψ±(α, m , n )⟩, studies their entanglement characteristics, and investigates the influence of photon excitations on quantum entanglement. It shows that for the state |Ψ+(α, m , m )⟩ the two-mode photon excitations affect seriously entanglement character while the state |Ψ-(α, m , m )⟩ is always a maximally entangled state, and shows how such states can be produced by using cavity quantum electrodynamics and quantum measurements. It finds that the entanglement amount of the TMEECSs is larger than that of the single-mode excited entangled coherent states with the same photon excitation number.
We introduce a new kind of continuous-variable-type entangled pure states, called single-mode excited entangled coherent states (SMEECSs), which are obtained through actions of a creation operator of a single-mode optical field on the ECSs. We study the mathematical properties and entanglement characteristics of the SMEECSs, and investigate the influence of photon excitations on quantum entanglement. It is shown that the SMEECSs form a type of cyclic representation of the Heisenberg–Weyl algebra. It is found that the photon excitations seriously affect the entanglement character of the SMEECSs. We also show how such states can be produced by using cavity QED and quantum measurements.
In this paper, after a brief review of the single-mode excited entangled coherent states, two new classes of continuous-variable entangled pure states, namely, single-mode nonlinear excited entangled coherent states, have been produced by using the f -deformed creation operator instead of . In order to establish the nonclassicality of the states, some of the physical properties of the corresponding entangled states, such as entanglement degree, photon statistics, second-order correlation function and quadrature squeezing have been studied in detail by choosing a particular f -deformation function. In addition, the influence of photon excitations on the properties of our introduced states has been analyzed and the results compared with those of a single-mode excited entangled coherent state. In continuation, a theoretical scheme for their generation based on the interaction of a two-level atom with a quantized cavity field has been proposed.
Entanglment properties of photon-added two-mode entangled coherent states are analyzed and analytical expression of the concurrence entanglement is obtained.The results show that the concurrence of the photon-added entangled coherent states is very sensitive to the superposition phase.Schemes for preparation of photon-added coherent states and photon-added two-mode entangled coherent states are also proposed.The preparation procession of the photon-added coherent states is that the photon-added coherent states are firstly tansformed into a superposition state of coherent state and vacuum state(the superposition coefficient is associated with amplitude of the coherent state),then by applying the interaction of atom inside high-Q cavity with a classical light,finally added coherent states of cavity field is prepared.Preparation of photon-added two-mode entangled coherent states of cavity fields is based on interaction of the flying atom with two cavity fields.