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首页> 外文期刊>Journal of Russian laser research >PREQUANTUM CLASSICAL STATISTICAL FIELD THEORY: SIMULATION OF PROBABILITIES OF PHOTON DETECTION FROM BROWNIAN MOTION INTERACTING WITH THRESHOLD DETECTORS
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PREQUANTUM CLASSICAL STATISTICAL FIELD THEORY: SIMULATION OF PROBABILITIES OF PHOTON DETECTION FROM BROWNIAN MOTION INTERACTING WITH THRESHOLD DETECTORS

机译:峰前经典统计场理论:通过布朗运动与阈值检测器交互作用进行光子检测的概率模拟

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Based on the prequantum classical statistical field theory (PCSFT), we present the results of numerical simulations of a model with hidden variables of the field-type reproducing probabilistic predictions of quantum mechanics (QM). PCSFT is combined with measurement theory based on detectors of the threshold type. The latter describes discrete events corresponding to the continuous field model. Using numerical modeling, we show that the classical Brownian motion (the Wiener process valued in the complex Hilbert space), producing clicks when approaching the detection threshold, gives the probabilities of detection predicted by the QM formalism (as well as PCSFT). This numerical result is important, since the transition from PCSFT to the threshold detection has a complex mathematical structure (within the framework of classical random processes) and it was modeled only approximately. Also we perform numerical simulation for the PCSFT value of the coefficient of the second-order coherence. Our result matches well with the prediction of quantum theory. Thus, in contrast to a semiclassical theory, PCSFT cannot be rejected as a consequence of measurements of g((2))(0). Finally, we analyze the output of the recent experiment performed in NIST questioning the validity of some predictions of PCSFT.
机译:基于前量子经典统计场论(PCSFT),我们给出了具有隐藏变量的模型的数值模拟结果,该变量具有场型再现量子力学(QM)的概率预测。 PCSFT与基于阈值类型检测器的测量理论相结合。后者描述了与连续场模型相对应的离散事件。使用数值模型,我们证明了经典的布朗运动(维纳过程在复杂的希尔伯特空间中得到重视),在接近检测阈值时会产生咔嗒声,从而给出了由QM形式主义(以及PCSFT)预测的检测概率。该数值结果非常重要,因为从PCSFT到阈值检测的转换具有复杂的数学结构(在经典随机过程的框架内),并且仅进行了近似建模。我们还对二阶相干系数的PCSFT值进行了数值模拟。我们的结果与量子理论的预测非常吻合。因此,与半经典理论相反,由于g((2))(0)的测量结果,不能拒绝PCSFT。最后,我们对最近在NIST中进行的实验的输出进行了分析,质疑PCSFT的某些预测是否正确。

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