发表机构
Zhejiang Normal University（浙江师范大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过动力学量子相变和波包扩散分析，发现非互易Aubry-André-Harper模型中非互易性在临界点促进输运（弹道扩散），在扩展相抑制输运，并揭示了能量分辨的DQPTs和黄金比例相关的分形结构。
AI 中文摘要
非厄米准晶体的临界相可以支持比其周围的离域相更强的输运。我们通过动力学量子相变（DQPTs）和波包扩散的联合研究，在一维非互易Aubry-André-Harper模型中展示了这种反常行为。利用一种直接编码广义$\mathcal{PT}$对称性的宇称分类能谱分类方法，我们发现该系统中的DQPTs是能量分辨的，这与厄米准晶体中能量无关的DQPTs形成对比。当初始和最终哈密顿量属于不同相（局域或扩展）时，能量分辨特征最为显著，并且它们与谱的奇偶指标结构相关，我们利用这一点来组织淬火动力学景观。对于单点淬火后的波包动力学，扩散指数$\beta$（从均方位移$\sigma(\tau)$的长时幂律标度中提取）将相图划分为四个不同的区域。在厄米极限下，扩展相是弹道式的（$\beta=1$），临界相是正常扩散的（$\beta=0.5$），而局域相产生$\beta\to 0$。非互易性逆转了这一层级：扩展相变为正常扩散，而临界相变为弹道式。我们将临界点的反常$\beta=1$归因于临界本征态的自相似多重分形结构，其节点位置由黄金比例组织。基于波前传播的有限尺寸标度假设得出$\sigma(\tau)\propto\tau$。宇称分辨的DQPTs和$\beta$相图建立了非互易准晶体的两种互补动力学诊断方法，其中非互易性在临界点促进输运，而在离域相中抑制输运。
英文摘要
The critical phase of a non-Hermitian quasicrystal can support stronger transport than its surrounding delocalized phase. We demonstrate this anomalous behavior in the one-dimensional nonreciprocal Aubry-André-Harper model through a combined study of dynamical quantum phase transitions (DQPTs) and wavepacket diffusion. Using a parity-sorted energy-spectrum classification that directly encodes the generalized $\mathcal{PT}$ symmetry, we find that DQPTs in this system are energy-resolved, in contrast to the energy-independent DQPTs of Hermitian quasicrystals. The energy-resolved features are most pronounced when the initial and final Hamiltonians belong to different phases (localized or extended), and they are tied to the even-odd index structure of the spectrum, which we exploit to organize the quench-dynamical landscape. For wavepacket dynamics after a single-site quench, the diffusion exponent $β$, extracted from the long-time power-law scaling of the root-mean-square displacement $σ(τ)$, partitions the phase diagram into four distinct regimes. In the Hermitian limit the extended phase is ballistic ($β=1$), the critical phase is normally diffusive ($β=0.5$), and the localized phase yields $β\to 0$. Nonreciprocity reverses this hierarchy: the extended phase becomes normally diffusive, while the critical phase turns ballistic. We trace the anomalous $β=1$ at criticality to the self-similar multifractal structure of the critical eigenstates, whose nodal positions are organized by the golden ratio. A finite-size scaling ansatz built on the wave-front propagation yields $σ(τ)\proptoτ$. The parity-resolved DQPTs and the $β$-phase diagram establish two complementary dynamical diagnostics of nonreciprocal quasicrystals, in which nonreciprocity promotes transport at the critical point and suppresses it in the delocalized phase.
