量子Baker映射的经典可预测性和粗粒度演化
Classical predictability and coarse-grained evolution of the quantum baker's map
摘要:
我们研究如何经典预测的粗粒度演化的量子面包师映射依赖于粗粒度的字符。我们的分析将Brun和Hartle [Phys. Rev. D 60,123503(1999)]的早期工作扩展到混沌映射的情况。为了量化的可预测性,我们比较了一个家庭的粗粒度的退相干历史形式主义的熵增加率。我们发现,熵增加的速率是由表征粗粒化的尺度的数量占主导地位。
英文摘要:
We investigate how classical predictability of the coarse-grained evolution of the quantum baker's map depends on the character of the coarse-graining. Our analysis extends earlier work by Brun and Hartle [Phys. Rev. D 60, 123503 (1999)] to the case of a chaotic map. To quantify predictability, we compare the rate of entropy increase for a family of coarse-grainings in the decoherent histories formalism. We find that the rate of entropy increase is dominated by the number of scales characterising the coarse-graining.
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