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 nonuniversal content of the models onto the extent of the subleading scalings regimes.

中文翻译：

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不同角度的Kibble-Zurek机制：横向XY模型和次导比例

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刻度导致绝热破坏的结果。通过驱动间隙参数，可用于确定前导关键指数。但这仅仅是“冰山一角”：驱动更通用的耦合器可以激活关键指数的整个通用范围。在这里，我们在可解析的最小模型和与实验相关的横向XY模型中建立了这种现象及其对于量子相变的可观察现象。通过在相图中正确设计驱动协议的几何形状，可以显示出激励密度在渐近缩放行为中包含了包括次导序列在内的指数序列。相对于相界平行驱动的情况仍可能导致绝热破坏，并以最清晰的方式暴露次导指数。与公开通用信息相辅相成，我们提取了由于模型的通用性而导致的限制条件，从而限制了次级领导量表的范围。