Quantum many-body scars from Einstein-Podolsky-Rosen states in bilayer systems
Quantum many-body scars from Einstein-Podolsky-Rosen states in bilayer systems
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DOI：
10.1103/physrevb.106.205142
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发表时间：
2022-09
影响因子：
3.7
通讯作者：
Julia Wildeboer;Christopher M. Langlett;Zhi-Cheng Yang;A. Gorshkov;Thomas Iadecola;Shenglong Xu
中科院分区：
文献类型：
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作者：
Julia Wildeboer;Christopher M. Langlett;Zhi-Cheng Yang;A. Gorshkov;Thomas Iadecola;Shenglong Xu
量子多体疤痕态是具有独特纠缠特征的不可积模型的特殊特征态，在量子从某些初始状态淬灭的情况下产生无限长寿命的相干动力学。我们详细阐述了一种量子多体疤痕态的构造，它们来自于两层系统中的爱因斯坦-波多尔斯基-罗森（EPR）态，其中两层最大程度地纠缠在一起。我们将这种结构应用于自旋系统以及流动费米子和玻色子的系统，并演示如何利用对称性来增强其多功能性。我们展示了几个著名的量子多体伤痕的例子，包括自旋为1的XY模型中的态塔和费米-哈伯德模型中的$\eta$配对态，可以在这种形式主义中被理解。我们还演示了如何在具有电荷守恒的双层玻色-哈伯德模型中出现多体疤痕态的无限塔。
Quantum many-body scar states are special eigenstates of nonintegrable models with distinctive entanglement features that give rise to infinitely long-lived coherent dynamics under quantum quenches from certain initial states. We elaborate on a construction of quantum many-body scar states in which they emerge from Einstein-Podolsky-Rosen (EPR) states in systems with two layers, wherein the two layers are maximally entangled. We apply this construction to spin systems as well as systems of itinerant fermions and bosons and demonstrate how symmetries can be harnessed to enhance its versatility. We show that several well-known examples of quantum many-body scars, including the tower of states in the spin-1 XY model and the $\eta$-pairing states in the Fermi-Hubbard model, can be understood within this formalism. We also demonstrate how an {\it infinite} tower of many-body scar states can emerge in bilayer Bose-Hubbard models with charge conservation.