Theory for frequent measurements of spontaneous emissions in a non-Markovian environment: Beyond the Lorentzian spectrum

Theory for frequent measurements of spontaneous emissions in a non-Markovian environment: Beyond the Lorentzian spectrum
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非马尔可夫环境中自发辐射频繁测量的理论:超越洛伦兹谱

DOI:
10.1007/s11433-019-9367-5
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发表时间:
2017-07
期刊:
Science China Physics,Mechanics & Astronomy
影响因子:
--
通讯作者:
Li Xin Qi
Li Xin Qi
中科院分区:
其他
文献类型:
--
作者:
Xu Luting;Li Xin Qi

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系统的测量结果条件演化(例如,原子)与光子的自发发射通过量子轨道(QT)理论来描述。在这项工作中,我们推广了相关的QT理论从无限宽带马尔可夫环境的有限带宽的非马尔可夫环境。特别地,我们推广了对任意谱的处理,这不受特定洛伦兹情况的限制。我们严格证明了一个完美的标度行为的普遍存在的联合定义的带宽的环境和连续的光子探测之间的时间间隔。对于几个例子,我们得到的解析结果,以方便QT模拟的基础上的蒙特-卡罗算法。对于解析结果不可用的情况,提出了一种数值计算方法用于实际模拟。
The measurement-result-conditioned evolution of a system (e.g., an atom) with spontaneous emissions of photons is described by the quantum trajectory (QT) theory. In this work we generalize the associated QT theory from an infinitely wide bandwidth Markovian environment to the finite bandwidth non-Markovian environment. In particular, we generalize the treatment for an arbitrary spectrum, which is not restricted by the specific Lorentzian case. We rigorously prove the general existence of a perfect scaling behavior jointly defined by the bandwidth of the environment and the time interval between successive photon detections. For a couple of examples, we obtain analytic results to facilitate the QT simulations based on the Monte-Carlo algorithm. For the case where the analytical result is not available, a numerical scheme is proposed for practical simulations.
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