标题： 少模态几何描述开放量子系统中的驱动耗散相变 显示英文标题

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

摘要： 通过激光驱动的非线性Kerr模式的示例，我们表明，受驱耗散相变可以准确地用两个集体的、耗散的Liouvillian本征模来描述。 关键量仅仅是非阿贝尔几何连接的两个分量，尽管只有一个参数被驱动。 我们通过将Bargmann离散几何相位推广到Lindblad动力学来计算这些连接函数。 在连续极限下，我们与精确数值结果有很好的一致性，并与Sarandy和Lidar的几何方法建立了联系。 这种方法大大简化了受驱耗散相变的描述，扩展了计算上可访问的参数范围，并为分析洞察提供了一个新的起点。 显示英文摘要

摘要： By example of the nonlinear Kerr-mode driven by a laser, we show that a driven-dissipative phase transition 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. We compute these connection functions by generalizing the Bargmann discrete geometric phase to Lindblad dynamics. In the continuum limit, we obtain excellent agreement with exact numerics and make contact with the geometric approach of Sarandy and Lidar. This 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 analytical insights.