arXiv 2212.042012022-12-08hep-thcond-mat.str-el

受驱动CFT中动态相变的膜探测器

Brane Detectors of a Dynamical Phase Transition in a Driven CFT

Suchetan Das, Bobby Ezhuthachan, Arnab Kundu, Somnath Porey, Baishali Roy, K. Sengupta

备注：: 42 pages, 7 figures

摘要：

我们发现，从非加热到加热阶段的周期性$SL(2,\mathbb{R})$驱动的二维共形场论（CFT）与一个大的中心荷的动态过渡被视为一个一阶过渡的大块膜嵌入在双AdS。我们构建了相应的驱动CFT的加热和非加热阶段的双散装度量。这些度量是纯AdS $_{3}$度量的不同AdS $_{2}$切片。我们嵌入一个膜在所获得的对偶AdS空间，并提供了一个明确的计算其自由能都在探头限制和世界末日（EOW）膜考虑到它的反作用。我们的分析表明一个有限的不连续性的膜自由能的一阶导数作为一个移动从非加热加热阶段（通过调整驱动振幅和/或频率的驱动CFT），从而证明了存在的散装一阶跃。有趣的是，在没有膜的情况下，体块没有察觉到这种跃迁。我们还提供了显式计算的两点，四点的时间外干扰（OTOC）使用散装图片。我们的分析表明，在不同的阶段，这些振荡器的结构相匹配的驱动CFT中计算出的对应物。我们分析了多个EOW膜的批量和讨论可能的扩展，我们的工作更丰富的几何形状和膜的效果。

英文摘要：

We show that a dynamical transition from a non-heating to a heating phase of a periodic $SL(2,\mathbb{R})$ driven two-dimensional conformal field theory (CFT) with a large central charge is perceived as a first order transition by a bulk brane embedded in the dual AdS. We construct the dual bulk metric corresponding to a driven CFT for both the heating and the non-heating phases. These metrics are different AdS$_{2}$ slices of the pure AdS$_{3}$ metric. We embed a brane in the obtained dual AdS space and provide an explicit computation of its free energy both in the probe limit and for an end-of-world (EOW) brane taking into account its backreaction. Our analysis indicates a finite discontinuity in the first derivative of the brane free energy as one moves from the non-heating to the heating phase (by tuning the drive amplitude and/or frequency of the driven CFT) thus demonstrating the presence of the bulk first order transition. Interestingly, no such transition is perceived by the bulk in the absence of the brane. We also provide explicit computations of two-point, four-point out-of-time correlators (OTOC) using the bulk picture. Our analysis shows that the structure of these correlators in different phases match their counterparts computed in the driven CFT. We analyze the effect of multiple EOW branes in the bulk and discuss possible extensions of our work for richer geometries and branes.

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。

摘要：

英文摘要：

相关论文