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Chinese Journal of Quantum Electronics

Transfer of entangled state in the system evolution of coherent coupled-atom and coherent single-mode cavity-field

Yuying An

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The physics system consisting of coherent coupled-atom interaction with coherent single-mode cavity-field is proposed. Using the complete quantum theory, the evolution process of the system is studied. It is found that the quantum atom entangled states and light field entangled states can be transferred into each other under a certain temporal condition. Otherwise, the initial state of the atom or the light field entangled states can be completely preserved by controlling the time of the atoms interaction with the light fields.

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The physics system consisting of coherent coupled-atom interaction with coherent single-mode cavity-field is proposed. Using the complete quantum theory, the evolution process of the system is studied. It is found that the quantum atom entangled states and light field entangled states can be transferred into each other under a certain temporal condition. Otherwise, the initial state of the atom or the light field entangled states can be completely preserved by controlling the time of the atoms interaction with the light fields.
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From the viewpoint of the quantum information theory,the J-C Model of an atom interacting with a single-model light-field is expanded to a union physical system model which consists of M(where M is any positive integer) pairs of two-level atoms and the M cavity-field with interaction respectively.By solving the evolution matrix of the system state vector,the process of the atoms interacting with the light-field is studied and the principle of exchange and preservation of quantum entanglement information in this system is discussed.It is found that not only the atom entanglement but also the light-field entanglement can be transferred and preserved under different time conditions.At the same time,the different form entanglement states can be prepared by using the interaction of the atoms with the cavity-field.
Using the complete quantum theory，the process of M two-level atoms interacting with M multi-mode light fields with intensity-dependent coupling is studied. It is found that quantum entanglement information can be transferred back and forth or be preserved between the cavity fields and atoms under certain time conditions. The entanglement states of the atoms or the cavities can be transferred when t=π/(2λ). The results are verified by numerically computing the entanglement degree. And it was shown that the entanglement states of the atoms or the cavities can be preserved when t=π/λ.
By using the complete quantum theory, the evolution law of the state voter in the joint system consisting of multi-two-level-atom and multi-single-mode-field without Rotating-Wave Approximation (RWA) is exactly calculated. The process of entangled state transformation between the cavities and the atoms with RWA and without RWA are all discussed. It is found that the atomic entanglement state and the cavity-field entanglement state can be simply preserved or exchanged each other with RWA. There is obvious the influence virtual photon field effect on the process of the transfer without RWA, that is, after the light entangled information transfer into the atoms the field vacuum state not can be restored. The phases are changed and many disturbance items are appended while the process of transfer and preservation.
The evolution law of the system which consists of coherent-atoms interacting with coherent-cavity-field is shown by using evolutional factor.The process of interaction in the system is studied.It is found that the quantum information can be transfer not only between cavities and atoms but also different sets of cavities.Furthermore,the conditions of information exchange are usually related to the atoms transition frequency(ωa,k) and its relative phase(ξ),the light-field frequency(ωf,k) and its relative phase(η),the coupled intensity between atom and light-field(g),as well as the interaction time(t).But it is only related to g and t under the resonance interaction atoms with light-field.