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Creation of entangled photons by two level atom trapped in one-dimensional nanocavity with weakly decaying resonance mode

机译:陷于一维纳米腔中的两能级原子以弱衰减共振模式产生纠缠光子

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The entangled photons components are found to be created in the lossless nanocavity with resonance mode. The smallness of F( 0≤F《g- coupling constant for electro-dipolar interaction)was revealed playing the crucial part in their production. It's known that  determines limits(ω_c ±)of photon frequency deflection from the mode frequency ω_c, when photon passes through empty cavity. When = 0 and ω_a=ω_c , the Hamiltonian is time-independent and has two eigenstates with eigenvalies(ω_a ± g). Each state is superposition of the upper and lower atomic states, taken with signs plus and minus respectively. These states are stationary and form a time-depended superposition. Matrix elements of the interaction Hamiltonian, taken between that superposition and atomic unperturbed states, contain two anti-phases components of entangled photons. Since = 0, their emission out of cavity is forbidden so they interfere, producing beatings of the resonance mode by sin(g·t). When 0<《g those beatings become quasi-stationary, and with probability proportional to /4g they go out through the partly transparent mirror and disintegrate into two photons, each of them taking its own spectral place outside the cavity. This process is illustrated by 3D-plots in the(ω, t)-space.
机译:发现纠缠的光子成分是在具有共振模式的无损纳米腔中产生的。 F(0≤F《电偶极相互作用的g-耦合常数)的微小性在其生产中起着至关重要的作用。众所周知,当光子通过空腔时,决定了从模式频率ω_c到光子频率偏转的极限(ω_c±)。当= 0且ω_a=ω_c时,哈密顿量与时间无关,并且具有两个本征态(ω_a±g)。每个状态都是上下原子态的叠加,分别用正号和负号表示。这些状态是固定的,并形成时间相关的叠加。哈密​​顿量的相互作用的基元包含在叠加态和原子无扰态之间,包含两个纠缠的光子的反相成分。由于= 0,因此禁止它们从腔中发射出去,因此会产生干扰,从而使共振模跳动为sin(g·t)。当0 <<< g时,这些跳动变成准平稳的,并且概率与/ 4g成正比,它们从部分透明的镜中射出并分解为两个光子,每个光子在腔外占据自己的光谱位置。该过程由(ω,t)空间中的3D图表示。

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