We review results on GKSL-type equations with multi-modal generators which are quadratic in bosonic or fermionic creation and annihilation operators. General forms of such equations are presented. The Gaussian solutions are obtained in terms of equations for the first and the second moments. Different approaches for their solutions are discussed.

中文翻译：

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二次发生器的不可逆量子演化：回顾

我们回顾了具有多模态发生器的 GKSL 型方程的结果，这些发生器在玻色子或费米子产生和湮灭算子中是二次的。给出了这些方程的一般形式。高斯解是根据一阶矩和二阶矩的方程获得的。讨论了解决方案的不同方法。