激光过程中真空态和单光子叠加态的量子特性
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卢道明(1963-),男,福建省永定县人,硕士,教授.研究方向 为量子光学.

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福建省自然科学基金(2011J01018)资助项目 (武夷学院 机电工程学院,福建 武夷山 354300)


Nonclassical properties of superposition of vacuum state and single-photon stat e in laser process
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    摘要:

    采用热纠缠态表象和有序算符内的积分技术,通过 求解密度矩阵主方程,导出了真空态和单光子叠加态在激光过程中的Wigner函数和光子数分 布的解析表达式。采用数值计算方法,给出了腔场的增 益和衰减常数等参数取确定值时真空态和单光子叠加态的Wigner函数、负部体积和光子数分 布的演化曲 线。通过比较Wigner函数负值区域的变化,讨论了耗散过程对该量子态量子特性的影响。研 究结果表明: 随耗散过程进行,态的Wigner函数负值范围和负值深度都在逐渐减小,直至负值消失。

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    Master equations of density operators can be concisely solved by virtue of thermo entangled state representation and t he technique of integration within an ordered product of operators.The solution of master equations of density operators is given.We get the Wigner function evolution formula in phase space and photon number distribution formula of the state, which is a superposition of vacuum state and single-photon state initially in laser process.By numerical calculation we plot its Wigner function and photon number distributi on evolution curves,when cavity gain constant and cavity loss constant are both equal to cert ain values.The effect of decoherence on nonclassical property of the state is discussed by comparing n egative area size and the depth of negativity of Wigner function.Numerical results show that the negativity area size and the depth of negativity of its Wigner function decrease and then v anish with dissipation. In addition,we calculate the variation of negative volume of Wigner fun ction with dissipation time.We find that it decreases with dissipation time increasing.These results s how that the nonclassical properties of the state are weakened and then disappe ar with dissipation time increasing.

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卢道明.激光过程中真空态和单光子叠加态的量子特性[J].光电子激光,2014,(7):1432~1437

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  • 收稿日期:2014-02-27
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