论文标题
多体内定位作为对称性破坏
Many-body delocalisation as symmetry breaking
论文作者
论文摘要
我们提出了一个框架，其中多体局部（MBL）相之间的过渡是对称性的。我们将随机的浮子旋转链考虑，表达其平均光谱颜色（SFF）是时间的时间，而在空间方向上起作用的传递矩阵。 SFF由该转移矩阵的主要特征值确定。在MBL阶段，领先的特征值是独一无二的，就像在对称阶段一样，而在沿着偏僻的阶段，在后期，领先的特征值是渐近退化的，例如在具有退化对称相的系统中。我们确定了转移矩阵的断裂对称性，引入了过渡的局部顺序参数，并表明关联的相关函数仅在厄尔及性阶段长期范围。
We present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of time in terms of a transfer matrix that acts in the space direction. The SFF is determined by the leading eigenvalues of this transfer matrix. In the MBL phase the leading eigenvalue is unique, as in a symmetry-unbroken phase, while in the ergodic phase and at late times the leading eigenvalues are asymptotically degenerate, as in a system with degenerate symmetry-breaking phases. We identify the broken symmetry of the transfer matrix, introduce a local order parameter for the transition, and show that the associated correlation functions are long-ranged only in the ergodic phase.
