论文标题
pancharatnam-berry诱导的相变点的动力学通用异常
Universal Anomaly of Dynamics at Phase Transition Points Induced by Pancharatnam-Berry Phase
论文作者
论文摘要
最近，在连续和一阶相变点附近，通常观察到动态异常而不是临界减速。我们建议通用异常可能源于几何阶段效应。 pancharatnam-berry相在具有调谐参数的变化的量子状态下连续积累。相变应引起几何相的突然移动。在我们的多级量子模型中，几何相诱导的量子干扰可能会延长或缩短相变点上激发态的放松时间，后者与实验，突然淬火下的模型和我们的半经典模型一致。此外，我们发现，通过设置\ text {\ensuremathπ}的相移，可以通过取消量子取消激发态与基态解耦，从而使松弛时间甚至可以分散到无穷大。我们的工作将几何阶段引入了传统相变和量子相变的研究，并且可以实质上延长量子计算的量子台的时间。
Recently, dynamical anomalies more than critical slowing down are often observed near both the continuous and first-order phase transition points. We propose that the universal anomalies could originate from the geometric phase effects. A Pancharatnam-Berry phase is accumulated continuously in quantum states with the variation of tuning parameters. Phase transitions are supposed to induce a abrupt shift of the geometric phase. In our multi-level quantum model, the quantum interference induced by the geometric phase could prolong or shorten the relaxation times of excited states at phase transition points, which agrees with the experiments, models under sudden quenches and our semi-classical model. Furthermore, we find that by setting a phase shift of \text{\ensuremathπ}, the excited state could be decoupled from the ground state by quantum cancellation so that the relaxation time even could diverge to infinity. Our work introduces the geometric phase to the study of conventional phase transitions and quantum phase transition, and could substantially extend the dephasing time of qubits for quantum computing.
