论文标题
来自不同角度的Kibble-ZUREK机制：横向XY模型和跨标度量表
Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
论文作者
论文摘要
Kibble-Zurek机制描述了动态接近相变时临界缩放的饱和度。这是由于慢速驱动器设定的量表破坏绝热性的结果。通过驱动差距参数，可以用来确定领先的临界指数。但这只是“冰山的尖端”：驱动更通用的耦合使人们可以激活整个关键指数的通用频谱。在这里，我们在分析可解决的最小模型和实验相关的横向XY模型中建立了这种现象及其对量子相变的可观察现象学。激励密度显示出通过相图中驱动方案的几何形状的正确设计，可以在渐近缩放行为中托管指数的序列。相对于相边界的平行驱动器的情况仍然可以导致绝热性的破坏，并以最清晰的方式暴露了跨胶的指数。在披露通用信息的情况下，我们将由于模型的非宇宙内容引起的限制提取到跨标度量表制度的程度上。
The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap parameter, this can be used to determine the leading critical exponents. But this is just the `tip of the iceberg': Driving more general couplings allows one to activate the entire universal spectrum of critical exponents. Here we establish this phenomenon and its observable phenomenology for the quantum phase transitions in an analytically solvable minimal model and the experimentally relevant transverse XY model. The excitation density is shown to host the sequence of exponents including the subleading ones in the asymptotic scaling behavior by a proper design of the geometry of the driving protocol in the phase diagram. The case of a parallel drive relative to the phase boundary can still lead to the breaking of adiabaticity, and exposes the subleading exponents in the clearest way. Complementarily to disclosing universal information, we extract the restrictions due to the non-universal content of the models onto the extent of the subleading scalings regimes.
