论文标题
来自双层系统中爱因斯坦 - 波多尔斯基 - 罗森州的量子多体疤痕
Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
论文作者
论文摘要
量子多体疤痕状态是具有独特纠缠特征的不可整合模型的特殊特征状态，从某些初始状态产生量子淬火下的无限长寿命相干动力学。我们详细阐述了量子多体疤痕状态的结构，其中它们从具有两层的系统中从爱因斯坦 - 波多尔斯基 - 罗森（EPR）状态出现，其中两层是最大的。我们将这种结构应用于旋转系统以及巡回费用和玻色子的系统，并演示如何利用对称性以增强其多功能性。我们表明，在这种形式主义中，可以理解几个量子多体疤痕的量子多体疤痕的例子，包括Spin-1 XY模型中的塔楼和费米 - 哈伯德模型中的$η$平台状态。我们还展示了多体疤痕状态的{\ it iT Infinite}塔如何在带电荷保护的双层玻色 - 哈伯德模型中出现。
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 $η$-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.
