We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as annihilation-diffusion processes, a mixture of coherent and classical particle propagation, and a rectified steady state current. We also find new ways to represent known classical integrable stochastic equations by integrable Lindblad operators. Our method can be extended to various other situations and it establishes a structured approach to the study of solvable open quantum systems.

中文翻译：

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构建可积 Lindblad 超级算子

我们开发了一种构建一维可积 Lindblad 系统的新方法，该系统描述了与马尔可夫环境接触的量子多体模型。我们发现了几个具有有趣特征的新模型，例如湮灭-扩散过程、相干和经典粒子传播的混合以及整流的稳态电流。我们还找到了用可积 Lindblad 算子表示已知经典可积随机方程的新方法。我们的方法可以扩展到其他各种情况，它建立了一种结构化的方法来研究可解的开放量子系统。