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湖北科技学院学报

Entanglement Generation of Two-mode Field from Two-level Atomic Medium in Optical Cavity

Li Chi

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

The generation of entangled light via two-level atomic medium inside a two-mode optical cavity is discussed according to the entanglement criterion proposed by Duan et al.We find that,under some conditions,the two-mode cavity field exhibits stable two-mode entanglement.The degree of the entanglement is dependent on the intensity of the pump field,the detuning,and the collective cooperativity.

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物理学报

摘要 利用非简并四波混频体系制备出稳定的连续变量的纠缠态，研究了纠缠随时间的演化情况.同时，得到双模光场的特征函数.经分析可知，在强抽运光的作用下此体系相当于一个光学参量放大器；在满足一定的条件下，能够制备出稳定的连续变量的量子纠缠态，并且纠缠的程度与双光子抽运光强度、合作参量及失谐频率有关. 关键词: 连续变量 / 三能级 / 高斯态 / 参量放大器 Abstract We apply nondegenerate four-wave mixing processes to the generation of stable continuous variable entangled light and study the time evolution of continuous variable entangled light. We analytically get the characteristic function of the two-mode field and find that the system is an optical parametric amplifier. We also show that the two-mode cavity field exhibits stable continuous variable entanglement under certain conditions. The degree of entanglement depends upon the two-photon intensity I2，the cooperativity parameter C and the side-mode detuning Δ′. Keywords: continuous variable / three-level model / Gaussian state / parametric amplifier 作者及机构信息 邓文武, 郑 俊, 谭华堂, 李高翔 基金项目: 国家自然科学基金(批准号：60478049，10674052)和湖北省自然科学基金(批准号：2006ABB015)资助的课题. Authors and contacts 参考文献 施引文献

Acta Physica Sinica•Jan 1, 2007•0 citations
The generation of entangled light via two-level atomic medium inside a two-mode optical cavity is discussed according to the entanglement criterion proposed by Duan et al.We find that,under some conditions,the two-mode cavity field exhibits stable two-mode entanglement.The degree of the entanglement is dependent on the intensity of the pump field,the detuning,and the collective cooperativity.
The generation of two-mode squeezed and entangled light in a nonlinear coupler inside an optical cavity was studied.The master equation of the two-mode field was solved by the method of characteristic function.It shows that the state of the two-mode field is a two-mode Gaussian one,and under some conditions,the two-mode cavity field exhibits stable two-mode squeezing and continuous variable entanglement.The degree of the squeezing and entanglement is dependent on the damping rate of the cavity field and the coupling constants between the two modes.
Effect of the initially atom coherence on the two-mode-entanglement of three-level atom in cascade configuration was studied,according to the entanglement criterion proposed by Duan et al.The result shows that,entanglemengt of two-mode cavity field can be induced only when the atom coherence exists.If gain coefficient is unchanged,the degree of entanglement firstly increases and then decreases with the increase of detuning.In certain detuning circumstances,the degree of entanglement of two-mode cavity field increases with the increase of gain coefficient.If detuning is zero,the entanglemengt of two-mode cavity field can't be created,no matter whether the atomic coherence exists or not.
This paper investigate the generation and evolution of continuous-variable entanglement in a two-mode single-atom laser, where the atomic coherence is induced by two classical laser fields (pump and coupling field) driving the corresponding atom transitions. It is found that the intensity of the coupling field can influence effectively the entanglement period of the cavity field. More importantly, our numerical results also show that the intensity and period of entanglement between the two cavity modes as well as the total mean photon number of the cavity field can be increased synchronously by adjusting the corresponding frequency detuning.
The generation of two-mode Gaussian-type entangled states of the cavity field is studied in a quantum beat laser, where three-level atoms of the VVV-type level configuration are coupled to two quantized modes of the cavity field and two upper levels of the atom are driven by a strongly classical field. According to Simon's criterion that is a necessary and sufficient condition for the inseparability of two-mode Gaussian states with a general form of covariance matrices, we analytically and numerically investigate the influence of phase and Rabi frequency of the classical driving field, cavity loss, and the purity and nonclassicality of the initial state of the cavity field on the entanglement property of the resulting two-mode Gaussian state. In the limit of weak cavity loss and strong driving, we show that the cavity field can be periodically into an ideal two-mode entangled Gaussian-type state.
摘要 利用非简并四波混频体系制备出稳定的连续变量的纠缠态，研究了纠缠随时间的演化情况.同时，得到双模光场的特征函数.经分析可知，在强抽运光的作用下此体系相当于一个光学参量放大器；在满足一定的条件下，能够制备出稳定的连续变量的量子纠缠态，并且纠缠的程度与双光子抽运光强度、合作参量及失谐频率有关. 关键词: 连续变量 / 三能级 / 高斯态 / 参量放大器 Abstract We apply nondegenerate four-wave mixing processes to the generation of stable continuous variable entangled light and study the time evolution of continuous variable entangled light. We analytically get the characteristic function of the two-mode field and find that the system is an optical parametric amplifier. We also show that the two-mode cavity field exhibits stable continuous variable entanglement under certain conditions. The degree of entanglement depends upon the two-photon intensity I2，the cooperativity parameter C and the side-mode detuning Δ′. Keywords: continuous variable / three-level model / Gaussian state / parametric amplifier 作者及机构信息 邓文武, 郑 俊, 谭华堂, 李高翔 基金项目: 国家自然科学基金(批准号：60478049，10674052)和湖北省自然科学基金(批准号：2006ABB015)资助的课题. Authors and contacts 参考文献 施引文献