We obtain the solutions of the generic bilinear master equation for a quantum oscillator with constant coefficients in the Gaussian form. The well-behavedness and positive semidefiniteness of the stationary states could be characterized by a three-dimensional Minkowski vector. By requiring the stationary states to satisfy a factorized condition, we obtain a generic class of master equations that includes the well-known ones and their generalizations, some of which are completely positive. A further subset of the master equations with the Gibbs states as stationary states is also obtained. For master equations with not completely positive generators, an analysis on the stationary states suggests conditions on the coefficients of the master equations that generate positive evolution for a given initial state.
Identifiability of Autonomous and Controlled Open Quantum Systems
Czech Technical University in Prague（布拉格捷克理工大学）；HSBC Lab, Emerging Technologies, Innovation & Ventures（汇丰实验室，新兴技术、创新与风险投资部门）；Athena Research and Innovation Center（阿瑞斯研究与创新中心）
Galilean boost invariance does not survive the trace: symmetry breaking in open quantum systems
guane Enterprises, R+D+I Unit（guane企业公司研发部）；Grupo de Física Atómica y Molecular, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia（安第斯大学自然科学学院物理研究所原子分子物理组）；Instituto de Física, Universidade de São Paulo（圣保罗大学物理研究所）
