Information content of nonautonomous free fields in curved space-time

Information content of nonautonomous free fields in curved space-time
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弯曲时空非自治自由场的信息内容

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
M. Nemes
M. Nemes
中科院分区:
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文献类型:
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作者:
J. E. Parreira;K. Fonseca;M. Nemes

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我们表明,它是可能的,以量化的非自治自由场状态在弯曲的时空中的信息内容。协方差矩阵的定义,它示出,对称高斯场状态,矩阵连接到状态的熵。这种连接在整个二次非自治(包括可能的相变)演化中保持。虽然粒子-反粒子关联是动态产生的,但其演化是等熵的。如果目前的标准宇宙学模型对于暴胀时期是正确的,在没有退相干的情况下,这种相关性将被保留,并可能导致可观察到的效应,从而允许对模型进行测试。
We show that it is possible to quantify the information content of a nonautonomous free field state in curved space-time. A covariance matrix is defined and it is shown that, for symmetric Gaussian field states, the matrix is connected to the entropy of the state. This connection is maintained throughout a quadratic nonautonomous (including possible phase transitions) evolution. Although particle-antiparticle correlations are dynamically generated, the evolution is isoentropic. If the current standard cosmological model for the inflationary period is correct, in absence of decoherence such correlations will be preserved, and could potentially lead to observable effects, allowing for a test of the model.