作为开放量子系统的广义Fibonacci振子
The Generalized Fibonacci Oscillator as an Open Quantum System
摘要：
考虑一个具有哈密顿量$H_S$的开放量子系统，其谱由弱耦合到处于逆温度下平衡态的玻色子库$β$的广义Fibonacci序列给出.我们找到了系统演化的生成器，并明确地计算了系统的稳态，结果证明该稳态是唯一的和忠实的，根据模型的参数。如果系统的哈密顿量是通用的，我们表明，对不变状态的收敛是指数快速和计算明确的低温下的光谱间隙，当系统的量子特征是更重要的，在一个额外的假设下的频谱$H_S$。
英文摘要：
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 $H_S$.
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