论文标题
真正的多体量子疤痕沿Bose-Hubbard系统中的不稳定模式
Genuine many-body quantum scars along unstable modes in Bose-Hubbard systems
论文作者
论文摘要
多体量子疤痕的概念与通常集中在希尔伯特空间的某些地区的特殊本征状态有关，在全球呈现热化的状态下，它们在全球范围内引起了强大的持续振荡。在这里，我们将这些研究扩展到具有真正的经典极限的多体系统，其特征在于高维混乱相空间，这些空间不受任何特定的动态约束。我们证明了在范式bose-Hubbard模型中集中在不稳定的经典周期均值模式附近的波功能的真正量子疤痕。这些特殊的量子多体状态在这些经典模式下表现出明显的相位定位。它们的存在与Heller的疤痕标准一致，并且似乎持续存在在热力学的长期限制中。沿着这种疤痕启动量子波数据包导致可观察到的持久振荡，其特征是与经典的Lyapunov指数无编尺度的时期，并显示出反映与常规隧道振荡相反的基本混乱动力学的固有不规则性。
The notion of many-body quantum scars is associated with special eigenstates, usually concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in a regime that globally exhibits thermalization. Here we extend these studies to many-body systems possessing a true classical limit characterized by a high-dimensional chaotic phase space, which are not subject to any particular dynamical constraint. We demonstrate genuine quantum scarring of wave functions concentrated in the vicinity of unstable classical periodic mean-field modes in the paradigmatic Bose-Hubbard model. These peculiar quantum many-body states exhibit distinct phase-space localization about those classical modes. Their existence is consistent with Heller's scar criterion and appears to persist in the thermodynamic long-lattice limit. Launching quantum wave packets along such scars leads to observable long-lasting oscillations, featuring periods that scale asymptotically with classical Lyapunov exponents, and displaying intrinsic irregularities that reflect the underlying chaotic dynamics, as opposed to regular tunnel oscillations.
