标题： 开放量子系统中驱动耗散相变的少模几何描述 显示英文标题

标题： Few-mode geometric description of a driven-dissipative phase transition in an open quantum system

摘要： 通过激光驱动的非线性Kerr模式的例子，我们展示了在具有驱动耗散相变（DPT）的系统中，滞后现象可以通过仅仅两种集体耗散性的Liovillian本征模式来准确描述。 关键量仅仅是两个非阿贝尔几何连接分量，即使只有一个参数被驱动。 这种强大的几何方法大大简化了驱动耗散相变的描述，扩展了可计算参数区域的范围，并为实验研究和分析洞察提供了新的起点。 显示英文摘要

摘要： By example of the nonlinear Kerr-mode driven by a laser, we show that hysteresis phenomena in systems featuring a driven-dissipative phase transition (DPT) can be accurately described in terms of just two collective, dissipative Liouvillian eigenmodes. The key quantities are just two components of a nonabelian geometric connection, even though a single parameter is driven. This powerful geometric approach considerably simplifies the description of driven-dissipative phase transitions, extending the range of computationally accessible parameter regimes, and providing a new starting point for both experimental studies and analytical insights.