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Journal of Hebei Normal University

Entanglement Properties in Interaction of Entangled Atoms with Two-mode Squeezed Light Fields

Bing Yuan

Published Jan 1, 2007• 0 citations
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Abstract

For the interaction of two entangled atoms with the two-mode squeezed light field,the entanglements between the atom with the light field and that between the two-modes of the light field are studied.Setting that one atom is outside the cavity and the other atom enters the cavity to interact with the light field,generally the entanglement changes periodically and the period is not affected by the rotation angle of the outside atom and the phase difference in the atomic entangled state.But,if the squeezing parameter of the light field and the rotation angle of the atom outside the cavity satisfy a certain relation,atom and the light field will be disentangled forever.

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For the interaction of two entangled atoms with the two-mode squeezed light field,the entanglements between the atom with the light field and that between the two-modes of the light field are studied.Setting that one atom is outside the cavity and the other atom enters the cavity to interact with the light field,generally the entanglement changes periodically and the period is not affected by the rotation angle of the outside atom and the phase difference in the atomic entangled state.But,if the squeezing parameter of the light field and the rotation angle of the atom outside the cavity satisfy a certain relation,atom and the light field will be disentangled forever.
Considering two two-level atoms initially in the non-maximally entangled state, one of them is put into an initially empty cavity and resonant interaction occurs. It is shown that the emission properties of the atom inside the cavity will be affected when the other atom outside the cavity is manipulated. And the degree of entanglement of the atoms can also affect the emission properties. This conclusion is generalized to the situation of the two-mode squeezed property of two cavities interacting with three two-level atoms.
This paper investigates the entropy squeezing of a moving two-level atom interacting with the two-mode entangled coherent field via two-photon transition by using an entropic uncertainty relation and the degree of entanglement between the two-mode fields by using quantum relative entropy. The results obtained from numerical calculation indicate that the squeezed period, the duration of entropy squeezing and the maximal squeezing can be controlled by appropriately choosing the intensity of the light field, the atomic motion and the field-mode structure. The atomic motion leads to the periodic recovery of the initial maximal degree of entanglement between the two-mode fields. Moreover, there exists a corresponding relation between the time evolution properties of the atomic entropy squeezing and those of the entanglement between the two-mode fields.
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.
Quantum entanglement dynamics of two Tavis—Cummings atoms interacting with the quantum light sources in a cavity is investigated. The results show the phenomenon that the concurrence disappears abruptly in a finite time, which depends on the initial atomic states and the properties of squeezed states. We find that there are two decoherence-free states in squeezed vacuum fields: one is the singlet state, and the other entangled state is the state that combines both excited states and ground states with a relative phase being equal to the phase of the squeezed state.
For the Raman interaction between an atom and a two-mode cavity field prepared in the state |01> or |10>, the atom and the field can be disentangled periodically. Such a property of Raman atom-field interaction allows the full entanglement transfer among many atoms and bimodal cavities. In the calculations, each atom is assumed to interact with its own cavity at a different time and so non-identical atoms can be treated conveniently. Entanglement sudden death is discussed too. Though atom-field interaction greatly changes the values of the concurrence for two atoms, configuration of the concurrence is almost not affected. When there is entanglement sudden death, atoms and cavities can still be entangled with one another. However, full entanglement transfer cannot be achieved for such systems with Raman atom-field interaction.
Under the condition of two-mode squeezed vacuum state field interacting with an atom via the intensity-dependent coupling,the degree of entanglement between the two mode fields is investigated by using quantum relative entropy.It is found that the evolution of degree of two-mode fields entanglement is periodic.When the initial field is strong,the degree of entanglement reach maximum at scaled time gt=kπ(k=0,1,2,…),and the different between the maximum and minimum of the entanglement measures is about 1.3 generally.When the initial field is very weak,the influence of atom initial state on the entanglement evolution is sensitive.And the maximum entanglement appears under the situation of atom in a superposition state of upper level and lower level with equal probability.The entanglement of the two mode fields can be adjusted by controlling the time of the atom passing the cavity and the initial state of the atom.