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arXiv 2501.04836physics.opticscond-mat.mes-hallcond-mat.mtrl-sciquant-ph
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任意时变介质中的光子态演化

Photon State Evolution in Arbitrary Time-Varying Media

Artuur Stevens, Christophe Caloz

AI总结:

本文提出瞬时本征态方法,利用海森堡方程仅需求解两个耦合微分方程即可研究任意时变介质中的光子态演化,揭示了单光子对最大产生概率为25%、贝尔态最大创建概率为84%,并实现光谱轮廓的精确调控。

摘要:

我们引入瞬时本征态方法来研究介电常数和磁导率任意时变的介质中量子态的演化。该方法利用海森堡方程绕开薛定谔方程,因为后者会导致一组复杂的无限耦合微分方程。相反,该方法只需通过求解两个耦合微分方程即可计算态演化。利用这一方法,我们得出了关于时变介质中光子统计的一般性结论。我们的研究结果表明,在此类介质中从真空产生单光子对的最大概率为25%,而贝尔态可以以84%的最大概率被创建。此外,我们证明发射光子的光谱轮廓可以通过介电常数和磁导率的时间分布进行精确调控。这些结果为时变介质中的光子态操控提供了更深入的认识。此外,瞬时本征态方法为研究其他系统中海森堡方程比薛定谔方程更易求解的态演化开辟了新的机会。

英文摘要:

We introduce the instantaneous eigenstate method to study the evolution of quantum states in media with arbitrary time-varying permittivity and permeability. This method leverages the Heisenberg equation to bypass the Schrödinger equation, which leads to a complicated infinite set of coupled differential equations. Instead, the method allows the computation of the state evolution by solving only two coupled differential equations. Using this approach, we draw general conclusions about photon statistics in time-varying media. Our findings reveal that the maximum probability of generating a single photon pair from vacuum in such media is 25%, while Bell states can be created with a maximum probability of 84%. Additionally, we demonstrate that the spectral profile of emitted photons can be precisely controlled through the temporal profiles of permittivity and permeability. These results provide deeper insights into photon state manipulation in time-varying media. Furthermore, the instantaneous eigenstate method opens new opportunities to study state evolution in other systems where the Heisenberg equation offers a more tractable solution than the Schrödinger equation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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