论文标题
广义的斐波那契振荡器作为开放量子系统
The Generalized Fibonacci Oscillator as an Open Quantum System
论文作者
论文摘要
我们考虑使用Hamiltonian $ h_s $的开放量子系统，其光谱由在反温度温度下$β$在平衡中弱耦合到平衡的玻色子储层。我们发现减少系统演化的生成器，并明确计算系统的固定状态，从模型的参数角度来看，这是独特而忠实的。如果哈密顿系统是通用的，我们表明，与不变状态的融合是指数的快速，并且在系统的量子特征更为重要时，在$ H_S $频谱上的额外假设下，明确计算低温的光谱差距。
We consider an open quantum system with Hamiltonian $H_S$ whose spectrum is given by a generalized Fibonacci sequence weakly coupled to a Boson reservoir in equilibrium at inverse temperature $β$. We find the generator of the reduced system evolution and explicitly compute the stationary state of the system, that turns out to be unique and faithful, in terms of parameters of the model. If the system Hamiltonian is generic we show that convergence towards the invariant state is exponentially fast and compute explicitly the spectral gap for low temperatures, when quantum features of the system are more significant, under an additional assumption on the spectrum of $H_S$.
