论文标题

Floquet动力学过渡和纠缠光谱

Floquet dynamical phase transition and entanglement spectrum

论文作者

Jafari, R., Akbari, Alireza

论文摘要

我们探索具有时间驱动的配对阶段的一维P波超导体中的纯态和混合状态浮动动力学量子相变(FDQFTS)。在傅立叶空间中,该模型是对经时依赖于有效磁场的非相互作用准旋转的重塑。我们表明,FDQFT发生在驱动频率范围内,而无需诉诸任何淬火。此外,fdqfts出现在谐振机制中的准旋转区域中。在共鸣制度中,人口完全循环旋转状态和向上状态之间。此外,我们使用纠缠谱和纯度纠缠措施研究了FDQFT的出现条件。我们的结果表明,纠缠频谱可以真正捕获发生FDQFT的共振状态。特别是,动力学拓扑区域导致纠缠光谱的退化。结果表明,驱动频率范围的边界在该范围内揭示了FDQFTS,并由纯度纠缠度量标志着。

We explore both pure and mixed states Floquet dynamical quantum phase transitions (FDQFTs) in the one-dimensional p-wave superconductor with a time-driven pairing phase. In the Fourier space, the model is recast to the non-interacting quasi-spins subjected to a time-dependent effective magnetic field. We show that FDQFTs occur within a range of driving frequency without resorting to any quenches. Moreover, FDQFTs appear in the region where quasi-spins are in the resonance regime. In the resonance regime, the population completely cycles the population between the spin down and up states. Additionally, we study the conditions for the appearance of FDQFTs using the entanglement spectrum and purity entanglement measure. Our results imply that the entanglement spectrum can truly capture the resonance regime where FDQFTs occur. Particularly, the dynamical topological region results in the degeneracy of the entanglement spectrum. It is shown that the boundary of the driven frequency range, over which the system reveals FDQFTs, signaled by the purity entanglement measure.

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