AI 中文总结
研究淬火陈绝缘体的量子几何，发现其量子度量会形成各向异性动力学重构，源于动量相关相对动力学相，确立了相干动力学重组量子几何的非平衡机制。
AI 中文摘要
在幺正动力学下，即使淬火过程使哈密顿量跨越拓扑相变，演化量子态的陈数仍保持守恒。与之形成鲜明对比，我们揭示了量子度量的各向异性动力学重构：在二维陈绝缘体发生突然淬火后，该度量会形成一个主轴坐标系，其中一个本征值随时间增长，而另一个几乎保持不变；长时间后，对应的轴分别与淬火后哈密顿量的能量梯度方向及等能轮廓的切线方向对齐，这种动态选择的坐标系与淬火后基态静态度量的坐标系截然不同。我们将动量相关的相对动力学相确定为其起源：这些相增强了沿能量梯度方向分离的相邻态的可区分性，而沿等能轮廓的态则几乎保持相位锁定。因此，局域和全局度量可观测量会获得淬火后哈密顿量的特征长时间信号。我们的结果确立了一种非平衡机制，即相干动力学可重组量子几何，为其动态调控提供了新的可能性。
英文摘要
Under unitary dynamics, the Chern number of an evolving quantum state remains conserved even when a quench drives the Hamiltonian across a topological phase transition. In sharp contrast, we reveal an anisotropic dynamical reconstruction of the quantum metric. Following a sudden quench in a two-dimensional Chern insulator, the metric develops a principal frame in which one eigenvalue grows in time whereas the other remains nearly unchanged. At long times, the associated axes align with the energy-gradient direction and the tangent direction of the constant-energy contours of the post-quench Hamiltonian, respectively. This dynamically selected frame is distinct from that of the static post-quench ground-state metric. We identify momentum-dependent relative dynamical phases as its origin: they enhance the distinguishability of neighboring states separated along the energy-gradient direction, while states along an equal-energy contour remain nearly phase locked. Consequently, local and global metric observables acquire characteristic long-time signatures of the post-quench Hamiltonian. Our results establish a nonequilibrium mechanism by which coherent dynamics reorganizes quantum geometry, suggesting new possibilities for its dynamical control.
Comments8 pages, 5 figures
