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Luoyang Shifan Xueyuan xuebao

Entangled Atoms and Entanglement Evolution of Atoms in Field Coupling System

Qiu Chang-dong

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The entanglement evolution of two two-level atoms in Bell states interacting with a single-mode vacuum cavity respectively is investigated by means of concurrence.The results obtained using the numerical method show that the entanglement of two atoms displays periodic oscillation behavior and its oscillation period decreases with increasing of coupling constant between atom and cavity.

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The entanglement evolution of two two-level atoms in Bell states interacting with a single-mode vacuum cavity respectively is investigated by means of concurrence.The results obtained using the numerical method show that the entanglement of two atoms displays periodic oscillation behavior and its oscillation period decreases with increasing of coupling constant between atom and cavity.
We consider a system consisting of two two-level atoms interacting with two coupled cavities via a two-photon hopping.Two atoms are individually trapped in two coupled cavities.The evolution of the state vector of the system is given by solving the Schrodinger equation.Negativity is used to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolution in the entanglement between atoms and that between atom and cavity.Through comparing the results of different cavity-cavity coupling coefficients,the influence of cavity-cavity coupling coefficient on the entanglement is discussed.The obtained results show that the atom-atom entanglement and atom-cavity entanglement both display the evolution which is from the irregular oscillations to quasi-periodic oscillation with the cavity-cavity coupling coefficient increasing.The average value of atom-atom entanglement and that of atom-cavity entanglement sometimes increase and sometimes decrease.It shows that there is non-linear relationship between atom-atom entanglement and cavity-cavity coupling coefficient,or between atom-cavity entanglement and cavity-cavity coupling coefficient.On the other hand,when the cavity-cavity coupling coefficient is small,the entanglement between atom and cavity exhibits the phenomenon of collapse and recovery.
The entanglement time evolution properties of the two atoms in the system of the two identical entangled two-level atoms interacting with coherent field are studied by means of full quantum theory.Using the numerical method,the influence of the initial entanglement of atoms and the intensity of field on the entanglement measuremont-concurrence is discussed.The results show that the peaks of the concurrence oscillations increase with the increasing of the initial degree of entanglement of two entangled atoms.The oscillation of the concurrence presents collapses and revivals with the increasing of the mean photon number,while its periodicity is more and more evident.
The entanglement time evolution of atoms in Bell states |β and |β interacting with the two-mode entangled coherent field is investigated by means of full quantum theory and numerical calculations.The effects of the atoms′ initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of interaction between atoms on the entanglement are discussed.The results show that the entropy time evolutions appear regular with the increase of the mean photon numbers of field.The frequency and amplitude of the oscillation decrease with the increase of the coupling strength of interaction between atoms.But when the degree of the entanglement for the entangled coherent fields changes,the frequency and amplitude of the entropy oscillation won′t change.
The two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities is analyzed.The evolution of the state vector of the system is given when the total excitation number equals two.By means of the numerical calculations,the temporal evolution in the entanglement is investigated between the atoms,between the cavities,as well as between the atom and the local cavity mode.The influences of coupling constant between cavities on the entanglements are discussed.The results obtained show that atom and atom are separable,and the cavity-cavity entanglement and the atom-cavity entanglement are weakened with increasing of the coupling constant between cavities.
Atomic evolution properties of entanglement are represented by concurrence,and the effects of atoms-coupling on the properties are considered within the context of the Tavis-Cummings model.Two coupling two-level atoms interact with a quantized cavity field,and the explicit forms of the evolution operator are given.It is found that atomic entanglement can always be kept though atoms are initially unentangled.The results also show that the amplitude of the entanglement evolution oscillation increases,and the periods of the oscillation become longer with increasing atomic coupling effect.When atomic coupling is strong enough,atomic entanglement evolution behavior is similar to that of the Heisenberg model.Atomic entanglement evolution properties have relations with atomic population.
The properties of quantum field entropy evolution in a single-mode vacuum field-coupled two-level atoms′ system were by the complete quantum theory.The numerical results indicate that the quantum field entropy in the system is periodic oscillation with two peaks′ or many peaks′ structures;The quantum entanglement between the atoms decreases with the increase of the dipole-dipole interaction strength between them;The amplitude of the field quantum entropy decreases with the increase of the probability of the two atoms stayed simultaneously in their ground states;Especially when the two atoms both stayed in their ground states,the field and the atoms are both disentangled for a long time;The coupling strength between the field and the atoms has important influences on the periodicity of the field quantum entropy,namely,the periodicity mentioned above becomes shorter with the strengther of the coupling.