论文标题
Markovian反馈控制的一维光学晶格中合成热浴的量子工程
Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control
论文作者
论文摘要
我们提出并研究了一种基于马尔可夫反馈控制的一维光学晶格中的合成热浴的方案，用于在一维光学晶格中进行合成热浴。我们方案的性能是通过系统稳态与有效热状态之间的保真度来量化的。对于具有非相互作用颗粒的双孔和三孔系统，发现稳态是确切的热状态，这归因于以下事实：所有成对的耦合特征态之间的转移速率满足详细的平衡状况。当有更多的晶格站点时，场景会发生变化，其中详细的平衡条件不再存在，但仍然是准确的近似。值得注意的是，我们的方案在低温和高温方向上的表现非常出色，忠诚度接近一个。中等温度状态（在玻色凝结状态发生的情况下）的性能稍差一些，并且忠诚度随着系统尺寸的增加而显示出较大的降低。我们还讨论了互动案例。与非交互情况相反，该方案在较高的温度下的性能更好。另一个区别是，可以设计的最小温度是非零的，并且随着相互作用强度的增加而增加。
We propose and investigate a scheme for engineering a synthetic thermal bath for a bosonic quantum gas in a one-dimensional optical lattice based on Markovian feedback control. The performance of our scheme is quantified by the fidelity between the steady state of the system and the effective thermal state. For double-well and triple-well systems with non-interacting particles, the steady state is found to be an exact thermal state, which is attributed to the fact that the transfer rates between all pairs of coupled eigenstates satisfy detailed balance condition. The scenario changes when there are more lattice sites, where the detailed balance condition does not hold any more, but remains an accurate approximation. Remarkably, our scheme performs very well at low and high temperature regimes, with the fidelity close to one. The performance at the intermediate temperature regime (where a crossover into a Bose condensed regime occurs) is slightly worse, and the fidelity shows a gentle decrease with increasing system size. We also discuss the interacting cases. In contrast to the non-interacting cases, the scheme is found to perform better at a higher temperature. Another difference is that the minimal temperature that can be engineered is nonzero and increases with the interaction strength.
