用修正的色散关系获得超激发
Getting Super-Excited with Modified Dispersion Relations
摘要：
我们证明，在某些区域的参数空间，修改色散关系可以导致高度填充的激发态，我们称之为“超激发”状态。为了制备这样的超激发态，我们调用色散关系，在高动量的临时亚视界相位具有负斜率。量子涨落的这种行为可以导致相对于Bunch-Davies功率谱的大的修正，Bunch-Davies功率谱模拟高度激发的初始条件。我们确定的Bogolyubov系数，可以产生这些功率谱。在计算过程中，我们还指出了胶合法计算功率谱和Bogolyubov系数的缺点。正如我们所讨论的，在参数空间的其他区域，功率谱不会被修改。因此，修改的色散关系也可以导致所谓的“平静激发态“。最后，我们对在暴胀的有效场论中获得这些修正色散关系的可能性进行了评论。
英文摘要：
We demonstrate that in some regions of parameter space, modified dispersion relations can lead to highly populated excited states, which we dub as "super-excited" states. In order to prepare such super-excited states, we invoke dispersion relations that have negative slope in an interim sub-horizon phase at high momenta. This behaviour of quantum fluctuations can lead to large corrections relative to the Bunch-Davies power spectrum, which mimics highly excited initial conditions. We identify the Bogolyubov coefficients that can yield these power spectra. In the course of this computation, we also point out the shortcomings of the gluing method for evaluating the power spectrum and the Bogolyubov coefficients. As we discuss, there are other regions of parameter space, where the power spectrum does not get modified. Therefore, modified dispersion relations can also lead to so-called "calm excited states" as well. We conclude by commenting on the possibility of obtaining these modified dispersion relations within the Effective Field Theory of Inflation.
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