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ACTA PHOTONICA SINICA

Entanglement Properties of Two-atoms Interacting with Field in Dissipative Cavity

张立辉 ZHANG Li-hui, 李高翔 LI Gao-xiang

Published Jan 1, 2011• 0 citations
Publisher

Abstract

By means of the quantum theory,the interaction between two-atoms located inside a dissipative cavity and single-mode coherent field was studied.The entanglement properties,between two atoms and between two-atoms and light fields,were analyzed.In addition,the reason that the decay of the cavity field and the detuning between the atom and cavity field affect the evolution of entanglement was discussed.The results show that when there is cavity loss,entanglement between the atoms and light fields may occur,however entanglement gradually disappear in the long time limit.Also,the detuning between the atom and cavity field significantly affects the entanglement.The entanglement between two atoms initially in the maximally entangled states is gradually weakened due to the decay of the light field,but the detuning between the atom and the cavity field can inhibit this decay.

DOI
10.3788/gzxb20114004.0607

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We have investigated the entangleable properties of two two-level atoms inside the dissipative cavity coupled to a single-mode radiation field under the big detuning,and discussed the influence of the initial state of the two atoms,the cavitity decay constant and the mean photon number on the entanglement degree.It have shown that if the two atoms are initially in the exicited or the ground states,they will be separate always;if the two atoms are initially in the coherent superposition of the excited and the ground states,the influence of cavity dissipation on the entanglement degree will vanish gradually with the time evolution,but the dipole-dipole interaction can enhance the entanglement degree.
The entanglement between two Λ-type three-level atoms interacting with coherent field in a dissipative cavity is investigated by means of the entanglement degree of quantum conditional entropy.A solution of the master equation is obtained by super operator method.The authors discuss the entanglement between the two atoms based on two kinds of different initial states(|ψa(0),|Φa(0)) and analyze the influence of decay coefficient of the cavity and mean photon number of the field on entanglement degree.In conclusion,when the atoms are initially in entangled state |ψa(0),the evolution of the entanglement degree depends on decay coefficient of the cavity and intensity of the field.If there is absence of dissipation,the entanglement degree evolves periodically;otherwise,the entanglement degree decays sharply and approaches a stable value.The weaker the intensity of the field is,the greater the stable value becomes.The greater the decay coefficient is,the faster it reaches the stable value.But for the other initial entangled state |Φa(0),the entanglement between the two atoms doesn't evolve with the time.It implies that the entangled state |Φa(0) can be preserved in such a dissipative system.
By means of numerical calculations,the squeezing property of the light field in the non-resonant system of two entangled atoms interacting with coherent field in dissipative cavity is studied.The effects of the detuning between the atom and cavity field,the initial field intensity,the decay of the cavity field on the light squeezing are discussed.The results show that when two entangled atoms interact with coherent field in the non-resonat system,light squeezing may occur,the squeezing degree has the periodicity with the time evolution.Also,the squeezing degree of light field becomes strong,the squeezing time increases,when the initial field intensity is adjusted appropriately.With the increase of the decay of the cavity field,the squeezing degree of light field gradually becomes weak,the squeezing time gradually decreases.
Some investigations have been made on the evolution of the linear entropies of atom-field system, in which two identical two-level atoms simultaneously interact with a single-mode dissipative cavity field under large detuning. The effects of the initial atom states and the dissipative factors of the cavity on all linear entropies are also discussed. The results show that the influence of the cavity decay constant on different kinds of Bell states is completely different, and the state |Ψ〉12 is a robust entangled state against the decoherence while the state |Φ〉12 is a fragile entangled state.
This paper studies the entanglement properties in a system of two dipole-coupled natural or artificial two-level atoms not-resonantly interacting with an intensive single-mode thermal field for coherent initial atomic states. The results show that the entanglement is weaken due to the initial atomic coherence for model with detuning in contrast to the model with resonant atom-field interaction. For non-dissipative model under consideration the detuning results also in decreasing of the atom-atom entanglement in time for separable initial atomic state and intensive cavity thermal field.
In this paper, we investigate the entanglement dynamics of two entangled two-level atoms interacting with a single-mode field in a dissipative cavity. The results show that the evolution properties of the entanglement degree of two entangled atoms depend on the initial atomic entanglement degree and form, the average photon number of the cavity field, and the cavity leakage rate. When the atoms are initially in a particular entangled state, the degree of entanglement can be amplified and not influenced by the dissipation of the cavity field.