AI 中文总结
本文发展了非相对论共形不变性系统的Floquet动力学研究形式体系，揭示双曲、椭圆两动力学相及抛物过渡面，分析其普适性并探讨全息关联，为相关系统研究提供理论框架。
AI 中文摘要
我们发展了一种形式体系，用于研究d个空间维度中具有非相对论共形不变性系统的Floquet动力学。分析表明存在双动力学相：双曲相与椭圆相，二者由抛物型过渡面分隔。我们通过研究驱动过程中多体基态下共形生成元的期望值及该态的保真度来验证这一点：在双曲相中二者呈指数行为，椭圆相中呈振荡行为，过渡面上呈幂律行为。我们的分析完全具有普适性，可直接应用于多个系统，包括近幺正性的囚禁费米子与共振任意子，前者可提供这些动力学相的实验信号。我们还探讨了这类受驱动非相对论CFT的全息视角，证明双曲相与体中的类时稳态极限面（如能层）相关，而抛物型相对应于极端Killing视界。
英文摘要
We develop a formalism for studying Floquet dynamics for systems with non-relativistic conformal invariance in d spatial dimensions. Our analysis indicates the existence of two dynamical phases, hyperbolic and elliptic, separated by a parabolic transition surface. We demonstrate this by studying the fidelity of the driven state and the expectation value of a conformal generator in the many body ground state during the drive. Stroboscopically, they behave exponentially in the hyperbolic phase, show oscillatory behavior in the elliptic phase, and exhibit power-law on the transition surface. Our analysis is completely universal and can be directly applied to several systems including trapped fermions near unitarity and resonant anyons. The former can provide experimental signatures of these dynamical phases. We also comment on a holographic perspective of such driven non-relativistic CFTs and demonstrate that the hyperbolic phase is associated with a timelike stationary-limit surface, such as an ergosphere, in the bulk, while the parabolic phase corresponds to an extremal Killing horizon.
CommentsDiscussion improved and references updated. 9+15 pages, 4+5 figures
