论文标题

精确的浮标量子多体疤痕在Rydberg封锁下

Exact Floquet quantum many-body scars under Rydberg blockade

论文作者

Mizuta, Kaoru, Takasan, Kazuaki, Kawakami, Norio

论文摘要

量子多体疤痕引起了极大的兴趣,因为违反了Rydberg Atoms和相关理论研究的最新实验观察,违反了特征态热假说(ETH)。在本文中,我们构建了一个托管精确浮标量子多体疤痕的模型,该模型违反了floquet版本的ETH。我们考虑了两个统一驱动的静态汉密尔顿人,这些静态汉密尔顿人禁止相邻的旋转(Rydberg封锁),例如PXP模型,并构建了由它们组成的二进制驱动器。我们表明存在一个四维子空间,该子空间完全避免了无限温度的热化,并且任何其他状态,包括静态PXP模型中报道的一些特殊的疤痕状态,都容易受到加热和放松至无限温度。我们还构建了一个更普遍的周期性驱动器,该驱动器由时间依赖性的PXP型哈密顿人组成,显示了精确的Floquet量子多体疤痕,并讨论了Rydberg原子中该模型的可能实现。

Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and related theoretical studies. In this paper, we construct a model hosting exact Floquet quantum many-body scars, which violate the Floquet version of ETH. We consider two uniformly-driven static Hamiltonians prohibiting neighboring up spins (Rydberg blockade) like the PXP model, and construct a binary drive composed of them. We show that there exists a four-dimensional subspace which completely avoids thermalization to infinite temperature and that any other states, including some special scar states reported in the static PXP model, are vulnerable to heating and relax to infinite temperature. We also construct a more generalized periodic drive composed of time-dependent PXP-type Hamiltonians showing exact Floquet quantum many-body scars and discuss possible experimental realization of the model in Rydberg atoms.

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