论文标题
基于欧姆的储层非马克维亚和量子速度限制时间
Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
论文作者
论文摘要
我们在耗散性的Jaynes-Cumming模型中研究了两级原子(量子系统感兴趣的量子系统)的非马克维亚性和量子加速,其中原子嵌入了单式腔中,该腔与欧米克频谱密度耦合到外部储层。我们获得了使用原子激发态的概率和时间本地主体方程中的负反应速率来获得的非马克维亚性。我们还计算原子演化过程的量子速度限制时间(QSLT)。结果表明,原子腔耦合是从马尔可夫到非马克维亚动力学过渡的主要物理原因,以及从无速度到加速过程的过渡,这种突然过渡的临界值仅取决于欧姆性参数。原子腔联耦合和适当的储层参数可以有效地改善动力学过程中的非马克维亚性,并加快原子的演变。此外,最初的非马克维亚动力学首先变成了马尔可夫人,然后在某些条件下增加了原子腔耦合,然后回到非马克维亚人。最后,提供了物理解释。
We study the non-Markovianity and quantum speedup of a two-level atom (quantum system of interest) in a dissipative Jaynes-Cumming model, where the atom is embedded in a single-mode cavity, which is leaky being coupled to an external reservoir with Ohmic spectral density. We obtain the non-Markovianity characterized by using the probability of the atomic excited state and the negative decoherence rate in the time-local master equation. We also calculate the quantum speed limit time (QSLT) of the evolution process of the atom. The results show that, the atom-cavity coupling is the main physical reasons of the transition from Markovian to non-Markovian dynamics and the transition from no speedup to speedup process, and the critical value of this sudden transition only depends on the Ohmicity parameter. The atom-cavity coupling and the appropriate reservoir parameters can effectively improve the non-Markovianity in the dynamics process and speed up the evolution of the atom. Moreover, the initial non-Markovian dynamics first turns into Markovian and then back to non-Markovian with increasing the atom-cavity coupling under certain condition. Finally, the physical interpretation is provided.