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Physics of Wave Processes and Radio Systems

Dynamic of entangled pair of Rydberg atoms successively passing a thermal cavity

Eugene K. Bashkirov, Башкиров Е. К

Published Mar 15, 2017• 0 citations
OpenAlex

Abstract

In the present paper we invetigated the entanglement dynamics of two Rydberg atoms which are prepared in Bells type entngled state and succesively passing one-mode thermal cavity of one-atom maser. On the basis of exact solution we derived the Peres-Horodetskii parameter. We carried out the computer modeling of the entanglement for different model parameters.We shown that the thermal field can partially restored the initial entanglement.

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In the present paper we invetigated the entanglement dynamics of two Rydberg atoms which are prepared in Bells type entngled state and succesively passing one-mode thermal cavity of one-atom maser. On the basis of exact solution we derived the Peres-Horodetskii parameter. We carried out the computer modeling of the entanglement for different model parameters.We shown that the thermal field can partially restored the initial entanglement.
In the present paper the entanglement dynamics of two atoms succesively passing the one-atom maser cavity with finite temperature has been considered. The influence of the initial atomic coherence and intensity of the thermal cavity field on the degree of the atomic entanglement has been investigated. It has been shown that the interaction between atoms and cavity low-intensity thermal field leads to entanglement for all initial atomic states and the initial atomic coherence leads to decreasing of the degree of the entanglement.
In this paper the entanglement dynamics for system of two two-level atoms interacting with a mode of thermal electromagnetic field in lossless cavity has been investigated. Initial atomic states are the entangled Bell type states. Using the full set of eigenvectors of the Hamiltonian of the considered model we have derived the exact solution for the density matrix for the whole system. On its basis the reduced atomic density matrix and Peres - Horodetcki parameter have been calculated. Calculating of entanglement parameter shows the possibility of high degree of entanglement even for large intensity of thermal field. Thus there is a possibility of maintenance and control over the degree of entanglement.
The entanglement between two identical two-level atoms successively passing a vacuum or a thermal cavity has been investigated taking into account the detuning. The cases when atoms are initially prepared in the separable two-atom or Bell type entangled atomic states have been considered. It has been shown that thermal field can produce the entanglement between Rydberg atoms successively passing a cavity for all considered initial atomic states. For separable initial atomic states and vacuum state of the cavity the presence of detuning leads to decreasing of the degree of atomic entanglement. For entangled initial atomic states and vacuum state of the cavity the presence of detuning leads to decreasing of the entanglement amplitude oscillations. We have also derived that for thermal field the increasing of the mean photon number leads to decreasing of the entanglement, but the entanglement increases as the detuning increases. For thermal field and small detuning we have established that the effect of sudden death and birth of entanglement takes place and that for large detuning such effect vanishes. Results of the computer simulation are presented.
We investigated two Rydberg atoms successively passing a vacuum or a thermal cavity taking into account the detuning. The atoms was assumed to be initially prepared in the Bell types entangled atomic states. Calculating the negativity we investigated the dynamics of atom-atom entanglement both for the vacuum and the thermal field. The special features of negativity behavior have been studied comprehensively foe small and large values of detunings. For thermal field and small detunings we established the effect of sudden death and birth of entanglement.
In this paper we investigated the entanglement dynamics of a pair of two-level atoms passing through a vacuum or thermal cavity one after another. We assumed that two atoms were initially prepared in separable coherent or entangled states. Using the exact solution of the density matrix evolution equation we calculated the time dependence of negativity for models with one-and two-photon interaction between atoms and the cavity field. For the two-photon model we took into account the dynamical Stark shift. We have found that the degree of atom-atom entanglement can be controlled by the Stark shift and cavity mean photon numbers.