Different types of geometric and entropic quantum correlation quantifiers are studied for a system composed of two resonant bosonic modes embedded in a thermal bath. The description of the evolution of the correlation measures is formulated in the framework of the theory of open systems, based on completely positive quantum dynamical semigroups, by using both a geometric and entropic quantification of total nonclassical correlations of Gaussian states. We consider the special case when the initial squeezed thermal state of the system preserves its form in time. We show that time evolution of the measures strongly depends on the parameters characterising the initial state of the system (squeezing parameter and average thermal photon numbers of the two modes) and of the thermal environment (temperature of the thermal bath and dissipation rate). In the limit of large times all the considered measures asymptotically tend to zero value, corresponding to an asymptotic bimodal uncorrelated product state. We make a comparison between the behaviour of the evolution in time of the Gaussian geometric quantum correlations and Gaussian entropic quantum correlations.

针对嵌入在热浴中的由两种共振玻色子模式组成的系统，研究了不同类型的几何和熵量子相关量词。通过使用高斯态总非经典相关性的几何和熵量化，在开放系统理论的框架中，基于完全正的量子动力学半群，对相关性测度的演化进行了描述。我们考虑系统的初始压缩热状态及时保持其形式的特殊情况。我们表明，测量的时间演化很大程度上取决于表征系统初始状态的参数（两种模式的压缩参数和平均热光子数）和热环境的参数（热浴温度和耗散率）。在大倍数的限制下，所有考虑的度量都渐近趋向于零值，对应于渐近双峰不相关乘积状态。我们对高斯几何量子关联和高斯熵量子关联的时间演化行为进行了比较。