,Two-Mode Steady-State Entanglement in a Four-Level Atomic System

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Entanglement,the basic property of quantum theory,is considered as the heart of quantum information processing.[1,2] Recently,it has been investigated in several physical systems such as light beams,[3-5]atomic samples[6] and cold atoms.[7] The entanglement is very small and very difficult to generate and detect experimentally.Additionally,entanglement is often viewed as a fragile property and it is difficult to manipulate in the face of decoherence effects.[8,9] Thus,the generation and manipulation of entanglement are still open problems.In recent years,there has been an effort to expand the realms in which entanglement can be shown to exist in laser systems.[10-16] For example,Xiong et al.studied the generation of two-mode continuous variable (CV) entanglement in a three-level atomic system based on the quantum coherence induced by an exteal classical field.[10] Sete investigated the effect of dephasing on transient and steadystate entanglement in a quantum-beat laser.[14] Tesfa studied the entanglement amplification at the steady state based on a nondegenerate three-level cascade laser,where the atomic coherence is induced by the initial atomic coherence superposition of the upper and the bottom levels.[16] It is well known that the laser has greatly changed human life.Thus,we are now wondering how the entangled laser can change the quantum information world.In a result particularly relevant to this work,it was shown in Ref.[17] that bright light entanglement can be generated in a correlated emission laser.However,the authors studied the transient entanglement of the system and found that entanglement only exists during a limited time.
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