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The Influence of Quantum Entanglement on the Atomic Dipole Squeezing

YI Shi-guang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

The impact of entanglement parameter θ on atomic dipole squeezing of one of two entangled atoms in the process of entangled another atom interacting with coherent light is studied.The results show that the component ∏1 of the atomic dipole operator does not present squeezing,but the component ∏2 does,and that the squeezing of ∏2 increases with gt representing interacting time and cohere light amplitude |α| and presents a negative single-peak curve with entanglement parameter θ.When gt=0.7,|α|=10 and θ=π/4,the component ∏2 takes on the max squeezing accompany the max entanglement of the quantum state.

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The impact of entanglement parameter θ on atomic dipole squeezing of one of two entangled atoms in the process of entangled another atom interacting with coherent light is studied.The results show that the component ∏1 of the atomic dipole operator does not present squeezing,but the component ∏2 does,and that the squeezing of ∏2 increases with gt representing interacting time and cohere light amplitude |α| and presents a negative single-peak curve with entanglement parameter θ.When gt=0.7,|α|=10 and θ=π/4,the component ∏2 takes on the max squeezing accompany the max entanglement of the quantum state.
The quantum entanglement of two entangled atoms interacting with the squeezed coherent state is studied by means of full quantum theory. The influences of coherent amplitude factor, squeezing factor, ratio of two coupling coefficients on the entanglement property are discussed. The results show that two atoms entanglement evolution property is opposed to atom-field entanglement evolution property when the coherent amplitude factor was zero or small. The interaction of the atoms and field weakens the entanglement degree of atom-atom. With increasing coherent amplitude factor or decreasing squeezing factor of light, the time of two atoms staying in the steady entangled state becomes longer. The increase of the coherent amplitude factor or the decrease of squeezing factor of light lead to the increase of atom-atom entanglement degree while the decrease of atoms-field entanglement degree. Moreover, the two-atom quantum state stays in the maximum entangled state when the atomic dipole-dipole coupling coefficient is large enough.
The atomic dipole squeezing effects in the system of a two-mode entangled states interacting with a Σ-type three-level atom were studied.We analyzed the effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of atomic initial state,the detuning,and the mean photon numbers on the atomic dipole squeezing effects.The results indicate that the influence of the(degree) of entanglement of the two-mode entangled coherent states on the atomic dipole squeezing effects isn't noticeable.While the atomic initial state is in the ground state or excited state,the atomic dipole squeezing effects can not occur.While the probability of atomic initial state in ground state is equal to that in the excited state,the atomic dipole squeezing reaches its maximum.The enhancing of the detuning results in the increase of the frequency of atomic dipole squeezing.When the mean photon number of mode 1 remains unchanged and the mean photon number of mode 2 increases,the depth of atomic dipole squeezing decreases and the(frequency) of atomic dipole squeezing doesn't change.
In this article,the atomic dipole squeezing effects in the system of three identical two-level entangled atoms interacting with the coherent states field are investigated by mean of Schrdinger equation solution and numerical calculations.The results show that the time evolution of the atomic dipole squeezing parameters depends on the degree of entanglement of the entangled atoms and the intensity of the coherent field.The atomic dipole squeezing parameter decreases with the increasing of the degree of entanglement.
The atomic dipole amplitude-squared squeezing effects of a Ξ-type three-level atom interacting with two-mode entangled coherent states are investigated.The effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of the atomic initial state,the detuning,the mean photon number and the atom-field coupling constant on the atomic dipole amplitude-squared squeezing are analyzed.The results indicate that the light squeezing effects depend on the degree of entanglement of the two-mode entangled coherent optical fields,the detuning,the mean photon numbers,the atom-field coupling constant and the atomic initial state.
Dipole squeezing of the atom in the presence of another atom is investigated for the one-photon and two-photon transition mechanism with the initial atoms in the two-atom squeezed state and the field in a vacuum, a coherent, or a squeezed state. For a vacuum input, the degree of squeezing is shown to depend on the photon multiplicity 'm' and the superposition angles of the atoms, θ1 and θ2. One of the quadratures of the atomic polarization is found to exhibit permanent squeezing only for some nonzero values of θ1, as well as θ2. The effect of θ2 on the dipole squeezing, however, is found to be negligible for the initial field in a coherent or a squeezed state. A comparison with the dipole squeezing of a single atom is also presented.
We analyse the relation between local two-atom and total multi-atom entanglements in the Dicke system composed of a large number of atoms. We use concurrence as a measure of entanglement between two atoms in the multi-atom system, and the spin squeezing parameter as a measure of entanglement in the whole n -atom system. In addition, the influence of the squeezing phase and bandwidth on entanglement in the steady-state Dicke system is discussed. It is shown that the introduction of a squeezed field leads to a significant enhancement of entanglement between two atoms, and the entanglement increases with increasing degree of squeezing and bandwidth of the incident squeezed field. In the presence of a coherent field the entanglement exhibits a strong dependence on the relative phase between the squeezed and coherent fields, that can jump quite rapidly from unentangled to strongly entangled values when the phase changes from zero to π. We find that the jump of the degree of entanglement is due to a flip of the spin squeezing from one quadrature component of the atomic spin to the other component when the phase changes from zero to π. We also analyse the dependence of the entanglement on the number of atoms and find that, despite the reduction in the degree of entanglement between two atoms, a large entanglement is present in the whole n -atom system and the degree of entanglement increases as the number of atoms increases.