论文标题
高斯动力学半群中的热平衡
Thermal equilibrium in Gaussian dynamical semigroups
论文作者
论文摘要
我们表征了具有热吉布斯状态作为固定溶液的N-波音模式的连续变量量子系统中的所有高斯动力群。这是通过散布和耗散矩阵之间的明确关系来执行的，该矩阵表征了半群动力学和热平衡状态的协方差矩阵。我们还表明，基于Gelfand-Naimark-segal内部产品，Alicki的量子详细平衡条件允许确定扩散和耗散矩阵的温度依赖性，以及鉴定不同的高斯动力学半群，共享相同热平衡状态。
We characterize all Gaussian dynamical semigroups in continuous variables quantum systems of n-bosonic modes which have a thermal Gibbs state as a stationary solution. This is performed through an explicit relation between the diffusion and dissipation matrices, which characterize the semigroup dynamic, and the covariance matrix of the thermal equilibrium state. We also show that Alicki's quantum detailed-balance condition, based on a Gelfand-Naimark-Segal inner product, allows the determination of the temperature dependence of the diffusion and dissipation matrices, and the identification of different Gaussian dynamical semigroups which shares the same thermal equilibrium state.
