We present a new approach for deriving exact, closed-form solutions for the steady state of a wide class of driven-dissipative nonlinear resonator that is distinct from more common complex-$P$ function methods. Our method generalizes the coherent quantum absorber approach of Stannigel et al. to include nonlinear driving and dissipation, and relies crucially on exploiting the Segal-Bargmann representation of Fock space. Our solutions and method reveal a wealth of previously unexplored observable phenomena in these systems, including new generalized photon-blockade and anti-blockade effects, and an infinite number of new parameter choices that yield quantum bistability.

中文翻译：

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驱动耗散的量子刻尔谐振器：新的精确解决方案，光子阻挡和量子双稳态

我们提出了一种新的方法，可以为各种驱散性非线性谐振器的稳态导出精确的闭式解，这不同于常见的复数形式。$P$功能方法。我们的方法概括了Stannigel等人的相干量子吸收器方法。包括非线性驱动和耗散，并且至关重要地依赖于利用Fock空间的Segal-Bargmann表示。我们的解决方案和方法揭示了这些系统中大量未曾探索的可观测现象，包括新的广义光子阻挡和反阻挡效应，以及产生量子双稳性的无数新参数选择。