论文标题
通过精确的量子噪声来表征多体定位
Characterizing many-body localization via exact disorder-averaged quantum noise
论文作者
论文摘要
无序量子系统多粒子系统的多体局部（MBL）阶段具有许多独特的特性，包括无法充当热浴和量子相干性的保护。研究MBL的罕见区域的影响使MBL变得复杂，因此需要大型系统尺寸和在许多疾病构型上平均。在这里，基于Feynman-Vernon量子浴理论，我们表征了无序旋转系统通过影响矩阵（IM）在其部分上施加的量子噪声。在这种方法中，精确地实施了平均障碍，并且热力学限制限制了一个自矛盾方程。 IM被视为单个自旋轨迹轨迹空间中的波函数，在MBL相中表现出速度纠缠的缓慢缩放。这使得有效的矩阵产品表示计算能够获得时间相关性，从而为非平衡物质的量子模拟提供了基准。 IM量子噪声公式为MBL进行了新的严格研究提供了替代的起点。
Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence. Studying MBL is complicated by the effects of rare ergodic regions, necessitating large system sizes and averaging over many disorder configurations. Here, building on the Feynman-Vernon theory of quantum baths, we characterize the quantum noise that a disordered spin system exerts on its parts via an influence matrix (IM). In this approach, disorder averaging is implemented exactly, and the thermodynamic-limit IM obeys a self-consistency equation. Viewed as a wavefunction in the space of trajectories of an individual spin, the IM exhibits slow scaling of temporal entanglement in the MBL phase. This enables efficient matrix product states computations to obtain temporal correlations, providing a benchmark for quantum simulations of non-equilibrium matter. The IM quantum noise formulation provides an alternative starting point for novel rigorous studies of MBL.
