Some New Features of Photon Statistics in a Fully Quantized Parametric Amplification Process

• 作者: Joseph Akeyo Omolo
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: QUANTIZED Parametric AMPLIFICATION JAYNES-CUMMINGS Interaction Fluctuation State VECTORS Fractional REVIVALS Interference Positive-Negative HELICITY Intensity/Polarization Operators SU(1 1) Symmetry Group
• 年，卷（期）: 2014,（8）
• 页码范围: 706-723
• 页数: 18页
• 分类号: O4

摘要

An exact quantum treatment reveals that signal and idler photon number operators are not well-behaved dynamical operators for studying photon statistics in parametric amplification/down-conversion processes. Contrary to expectations, the mean signal-idler photon number difference varies with time, while the corresponding signal-idler photon number cross-correlation function is complex and experiences an interference phenomenon driven by the interaction parameters. The intensity operators and related polarization operators of the polarized signal-idler photon pair in positive and negative helicity states are identified as the appropriate operators specifying a conservation law and the dynamical symmetry group (SU(1, 1)) of the parametric amplification process. The conservation of the mean positive and negative helicity photon intensity difference and the purely real positive-negative helicity intensity cross-correlation function correctly account for the simultaneous production of polarized signal and idler photons in positive and negative helicity states.