We study the energy and entanglement dynamics of e1 t 1TD conformal field theories (CFTs) under a Floquet drive with the sine-square deformed (SSD) Hamiltonian. Previous work has shown that this model supports both a nonheating and a heating phase. Here, we analytically establish several robust and “superuniversal” features of the heating phase which rely on conformal invariance but not on the details of the CFT involved. First, we show the energy density is concentrated in two peaks in real space, a chiral and an antichiral peak, which leads to an exponential growth in the total energy. The peak locations are set by fixed points of the M?bius transformation. Second, all of the quantum entanglement is shared between these two peaks. In each driving period, a number of Bell pairs are generated, with one member pumped to the chiral peak and the other member pumped to the antichiral peak. These Bell pairs are localized, accumulate at these two peaks, and can serve as a source of quantum entanglement. Third, in both the heating and nonheating phases, we find that the total energy is related to the half system entanglement entropy by a simple relation EetT ∝ c exp ?e6=cTSetT with c being the central charge. In addition, we show that the nonheating phase, in which the energy and entanglement oscillate in time, is unstable to small fluctuations of the driving frequency in contrast to the heating phase. Finally, we point out an analogy to the periodically driven harmonic oscillator which allows us to understand global features of the phases and introduce a quasiparticle picture to explain the spatial structure, which can be generalized to setups beyond the SSD construction.
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机译：我们在带有正弦方形变形（SSD）Hamiltonian的Floquet驱动器下，研究E1 T 1TD保形野外理论（CFT）的能量和缠绕动力学。以前的工作表明，该模型支持不加热和加热阶段。在这里，我们分析了依赖于共形不变性的加热阶段的几种稳健和“超人物”特征，而不是涉及的CFT的细节。首先，我们显示能量密度在真实空间，手性和抗刻度峰的两个峰中集中，这导致总能量的指数增长。峰值位置由M≥BIUS转换的固定点设定。其次，所有量子纠缠在这两个峰之间共享。在每个驱动时段中，产生多个钟对，其中一个构件泵入手性峰值，另一个构件泵送到抗刻度峰。这些钟对局部化，在这两个峰上积聚，可以作为量子缠结的源泉。第三，在加热和非热化阶段，我们发现总能量与简单关系EETTαCEXP的半系统纠缠熵相关？E6 = CTSETT是C是中心电荷。另外，我们表明，其中能量和缠结振荡的不加热阶段，与加热阶段相比，能量和缠结振荡的振荡势不稳定。最后，我们指出了周期性驱动的谐波振荡器，该谐波振荡器允许我们理解阶段的全局特征，并引入Quasiparticle图片来解释空间结构，这可以推广到超出SSD结构之外的设置。
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