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arXiv 0812.0420gr-qc
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度规涨落与退相干

Metric fluctuations and decoherence

H. -P. Breuer, E. Göklü, C. Lämmerzahl

摘要:

最近有人提出了一个度规涨落模型,它给出了一个有效的薛定谔方程,该方程适用于具有修正的惯性质量的量子粒子,导致了对弱等效原理的违反。惯性质量张量的重整化是由在固定背景度规上度规涨落的局部空间平均值引起的。在这里,我们证明了这个模型的度规涨落导致进一步的物理效应,即量子粒子的有效退相干。我们导出了粒子密度矩阵的量子主方程,详细讨论了它的耗散和退相干性质,并估计了相应的退相干时间尺度。与文献中讨论的其他模型相比,在本方法中,度规涨落引起能量表示中相干性的衰减,即。例如,在能量空间中的定位。

英文摘要:

Recently a model of metric fluctuations has been proposed which yields an effective Schrödinger equation for a quantum particle with a modified inertial mass, leading to a violation of the weak equivalence principle. The renormalization of the inertial mass tensor results from a local space average over the fluctuations of the metric over a fixed background metric. Here, we demonstrate that the metric fluctuations of this model lead to a further physical effect, namely to an effective decoherence of the quantum particle. We derive a quantum master equation for the particle's density matrix, discuss in detail its dissipation and decoherence properties, and estimate the corresponding decoherence time scales. By contrast to other models discussed in the literature, in the present approach the metric fluctuations give rise to a decay of the coherences in the energy representation, i. e., to a localization in energy space.

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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