论文标题
Floquet共形场的实时相关函数
The Real-Time Correlation Function of Floquet Conformal Fields
论文作者
论文摘要
共形场理论（CFT）在量子场理论中起重要作用，因为它们允许在没有共形符号的情况下难以访问的精确研究。最近的一个显着发展是共形场理论在定期驱动的系统（所谓的Floquet驱动的CFT）中的应用。许多最近的作品发现，可以在分析上求解的定期驱动（1+1）二维CFT，并且显示了加热阶段和非加热阶段，以及信息争夺中的异常属性。迄今为止，大多数结果都集中在频道镜时代的此类模型的动力学上，即在每个时期进化时采集的样品。在本文中，我们考虑在任意实时的时间进化，并得出用于加热和非加热类别的Floquet驱动CFT的确切时间传播的公式。与文献相比，这需要对非三世镜时间进行微妙的处理，从而导致这些系统中弯曲时空动力学的解释不同。
Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of conformal field theory to periodically driven systems, the so-called Floquet-driven CFTs. A number of recent works have found that there are classes of periodically driven (1+1)-dimensional CFTs that can be analytically solved, and that show both heating and non-heating phases, as well as unusual properties in terms of information scrambling. Hitherto, most results have focused on the dynamics of such models at stroboscopic times, i.e. samples taken at each period of the time evolution. In this paper, we consider time-evolution at arbitrary real times and derive formulas for the exact time-propagation of heating and non-heating classes of Floquet-driven CFTs. This requires a subtle treatment of non-stroboscopic time that leads to different interpretations in terms of curved space-time dynamics in these systems compared to previous results in the literature.
