论文标题
始终源自希尔伯特空间在动量空间中的碎裂状态
Persistent-current states originating from the Hilbert space fragmentation in momentum space
论文作者
论文摘要
希尔伯特(Hilbert)空间碎片(HSF)是一种现象,即孤立的量子系统的希尔伯特(Hilbert)空间分裂成指数的许多断开子行动。碎片系统在长期演化后不会热化,因为动力学仅限于小型子部门。受HSF最近发展的启发,我们构建了在动量空间中展示HSF的哈密顿量。我们表明,由于动量空间中的HSF,持久性(PC)状态出现。我们还研究了PC状态在随机电位上的稳定性,这破坏了HSF的结构,并发现PC的衰减速率几乎与当前速度无关。
Hilbert space fragmentation (HSF) is a phenomenon that the Hilbert space of an isolated quantum system splits into exponentially many disconnected subsectors. The fragmented systems do not thermalize after long-time evolution because the dynamics are restricted to a small subsector. Inspired by recent developments of the HSF, we construct the Hamiltonian that exhibits the HSF in the momentum space. We show that persistent-current (PC) states emerge due to the HSF in the momentum space. We also investigate the stability of the PC states against the random potential, which breaks the structure of the HSF, and find that the decay rate of the PC is almost independent of the current velocity.