费米量子蒸馏的效率
Efficiency of fermionic quantum distillation
摘要：
本文用含时密度矩阵重整化群研究了准一维梯形几何上Fermi-哈伯德模型中的量子蒸馏过程。术语蒸馏是指在光晶格中相互作用粒子的突然膨胀中，单子和双子的动态空间分离，即，原子云从俘获势中释放出来。值得注意的是，量子蒸馏可以导致doublon云的收缩，导致核心区域的doublon密度比初始状态增加。作为一个主要的结果，我们表明，这种现象并不局限于以前研究的链。有趣的是，有额外的动力学过程，如密度振荡和自陷缺陷，导致一个效率较低的蒸馏过程中的双腿梯子。从产品状态开始的时间演变的调查提供了一个解释这种行为。初始产品状态也被认为是，因为在光晶格实验中，这样的状态往往被用作初始设置。我们提出的配置，导致一个快速和有效的量子蒸馏。
英文摘要：
We present a time-dependent density-matrix renormalization group investigation of the quantum distillation process within the Fermi--Hubbard model on a quasi-1D ladder geometry. The term distillation refers to the dynamical, spatial separation of singlons and doublons in the sudden expansion of interacting particles in an optical lattice, i.e., the release of a cloud of atoms from a trapping potential. Remarkably, quantum distillation can lead to a contraction of the doublon cloud, resulting in an increased density of the doublons in the core region compared to the initial state. As a main result, we show that this phenomenon is not limited to chains that were previously studied. Interestingly, there are additional dynamical processes on the two-leg ladder such as density oscillations and selftrapping of defects that lead to a less efficient distillation process. An investigation of the time evolution starting from product states provides an explanation for this behaviour. Initial product states are also considered, since in optical lattice experiments such states are often used as the initial setup. We propose configurations that lead to a fast and efficient quantum distillation.
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