标题： 多体笼：福克空间中平带引起的无序玻璃态，以及多体拉比振荡 显示英文标题

标题： Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations

摘要： 我们将平带的多体对应物称为多体局域化，将其作为非平衡现象的一般机制，例如新型玻璃状本征谱序和时域中的多体拉比振荡。 我们关注的是在里德堡原子和合成或新兴规范理论背景下当前非常感兴趣的约束系统。 我们发现它们的状态图包含了在特定能量集上产生多体谱中平带的模体。 在没有猝灭无序的情况下，Fock空间中的基态表现出爱德华-安德森型参数，其在Fock空间中具有复杂的、可能是分形的分布，这种分布反映在非零后猝变长时间洛施密特回波的显著结构中，这是一个实验可访问的量。通常，从单粒子平带熟悉的现像以特征性的多体表现形式表现出来，例如重新进入的“安德森”去局域化，这在上述量子模拟器中提供了丰富的实验签名集合。 单粒子平带类型的多样性表明了它们的多体对应物的类似分类——以及有待探索的相应现象学丰富性。 显示英文摘要

摘要： We identify the many-body counterpart of flat bands, which we call many-body caging, as a general mechanism for non-equilibrium phenomena such as a novel type of glassy eigenspectrum order and many-body Rabi oscillations in the time domain. We focus on constrained systems of great current interest in the context of Rydberg atoms and synthetic or emergent gauge theories. We find that their state graphs host motifs which produce flat bands in the many-body spectrum at a particular set of energies. Basis states in Fock space exhibit Edwards-Anderson type parameters in the absence of quenched disorder, with an intricate, possibly fractal, distribution over Fock space which is reflected in a distinctive structure of a non-vanishing post-quench long-time Loschmidt echo, an experimentally accessible quantity.In general, phenomena familiar from single-particle flat bands manifest themselves in characteristic many-body incarnations, such as a reentrant `Anderson' delocalisation, offering a rich ensemble of experimental signatures in the abovementioned quantum simulators. The variety of single-particle flat band types suggests an analogous typology--and concomitant phenomenological richness to be explored--of their many-body counterparts.