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arXiv 2103.01798cond-mat.quant-gasquant-ph
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在临界点附近驱动的几个不同质量的强相互作用费米子

Few strongly interacting fermions of different mass driven in the vicinity of a critical point

Damian Włodzyński, Tomasz Sowiński

备注：
Authors' version accepted for publication
发表信息：
Phys. Rev. A 104, 053317 (2021)
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摘要：

最近有人认为，当外部约束几何地改变其形状时，多个不同质量的强相互作用费米子的一维系统在不同的空间有序之间经历临界转变。在这项工作中，我们探讨他们的动力学性质时，有限时间驱动被认为是。通过对多体光谱的详细分析，我们发现动力学通常只由最低本征态指导，并且可以用广义Landau-Zener机制的语言很好地理解。通过这种方式，我们可以精确地捕获系统对外部驱动的动态响应。因此，我们表明，通过适当的剪裁参数的驱动，可以在非无限的时间目标所需的多体状态。我们的理论预测可以直接用于即将到来的最先进的超冷原子实验。

英文摘要：

It was recently argued that one-dimensional systems of several strongly interacting fermions of different mass undergo critical transitions between different spatial orderings when the external confinement adiabatically changes its shape. In this work, we explore their dynamical properties when finite-time drivings are considered. By detailed analysis of many-body spectra, we show that the dynamics is typically guided only by the lowest eigenstates and may be well-understood in the language of the generalized Landau-Zener mechanism. In this way, we can capture precisely the dynamical response of the system to the external driving. As consequence, we show that by appropriate tailoring parameters of the driving one can target desired many-body state in a non-infinite time. Our theoretical predictions can be straightforwardly utilized in upcoming state-of-the-art experiments with ultracold atoms.

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