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湖北科技学院学报

Squeezing Property of Two-mode Cavity Field in a Nondegenerate Four-wave Mixing System

Wenwu Deng

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

We apply nondegenerate four-wave mixing processes to the generation of squeezed light and study the evolution of squeezed light with time.We get the master equation of the two-mode field.We also show that the two-mode cavity field exhibits stable squeezing under some conditions.The degree of the squeezing is dependent upon the two photon intensity I2,the cooperativity parameter C and the side-mode detuning.

Related papers

Entanglement property of two-mode cavity field in a nondegenerate four-wave mixing system

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

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Gao‐xiang Li, Hua-Tang Tan, Mihai Macovei

The entanglement properties of two mode fields generated from four-wave mixing are discussed in the system of an ensemble of $V$-type three-level atoms embedded in a two-mode cavity, in which the atomic transitions from the two excited states to the ground state are driven by one strong and one relative weak laser field, respectively. The nondegenerate four-wave mixing process occurs in the strong laser-driven transition, which is also coupled by the two cavity modes. With the help of the auxiliary atomic transition driven by the weak laser field and adjusting the frequency difference of the two modes, highly squeezed and entangled light with high intensity can be generated.

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A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are considered taking into account the effects of phase modulation and of depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported of the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.

Quantum Electronics•Jun 30, 1995•0 citations

Parametric Oscillation in 4-Wave-Mixing with Nondegenerate Pump

Gagik Yu. Kryuchkyan, K.G. Petrossian, Karen V. Kheruntsyan

A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are are considered taking into account the effects of phase modulation and ef depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported or the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.

•Jun 1, 1995•0 citations
We apply nondegenerate four-wave mixing processes to the generation of squeezed light and study the evolution of squeezed light with time.We get the master equation of the two-mode field.We also show that the two-mode cavity field exhibits stable squeezing under some conditions.The degree of the squeezing is dependent upon the two photon intensity I2,the cooperativity parameter C and the side-mode detuning.
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
We extend the quantum theory of nondegenerate four-wave mixing by including the effects of the finite bandwidth of the driving-pump field. The interaction of a beam of two-level atoms with the two opposite driving-pump fields that have finite bandwidth inside a bimodal cavity is considered. The master equation for the cavity-field modes, averaged over the stochastic process, is derived. We use our theory to study the effects of phase fluctuations, associated with the driving-pump field, on the generation of two-mode squeezing inside the cavity. The steady-state squeezing is achieved with the same driving-pump field as a local oscillator in the balanced homodyne-detection system. Our results show that, in spite of instantaneous phase locking between the cavity field and the local oscillator, the time-delay effects associated with the exponential decay of atomic coherence relate the steady-state squeezing to the diffusion constant of the driving-pump field.
The entanglement properties of two mode fields generated from four-wave mixing are discussed in the system of an ensemble of VVV-type three-level atoms embedded in a two-mode cavity, in which the atomic transitions from the two excited states to the ground state are driven by one strong and one relative weak laser field, respectively. The nondegenerate four-wave mixing process occurs in the strong laser-driven transition, which is also coupled by the two cavity modes. With the help of the auxiliary atomic transition driven by the weak laser field and adjusting the frequency difference of the two modes, highly squeezed and entangled light with high intensity can be generated.
A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are considered taking into account the effects of phase modulation and of depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported of the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.
A theoretical investigation is made of parametric generation of light by four-wave mixing in an optical cavity with two pump fields of different frequencies. Mixing configurations resulting in the excitation of one and three cavity modes are are considered taking into account the effects of phase modulation and ef depletion of the pump fields. An analysis is made of stable steady-state oscillation regimes. Calculations are reported or the intensities of the generated radiation modes at the exit from the cavity above the threshold. An analysis is made of the conditions for the appearance of optical bistability at nonzero values of the cavity detuning.