Fragmentation and Emergent Integrable Transport in the Weakly Tilted Ising Chain
Fragmentation and Emergent Integrable Transport in the Weakly Tilted Ising Chain
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DOI：
10.1103/physrevlett.128.196601
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发表时间：
2022-05-11
影响因子：
8.6
通讯作者：
Moroz, Sergej
中科院分区：
文献类型：
--
作者：
Bastianello, Alvise;Borla, Umberto;Moroz, Sergej
我们研究了弱横向场范围内倾斜伊辛链的涌现量子动力学。在主阶微扰理论中，希尔伯特空间被分割成指数级的许多解耦扇区。我们发现，由孤立磁振子组成的扇区可与由 XXZ 自旋哈密顿量的约束版本控制的动力学进行积分。因此，当伊辛链在该区域启动时，它会在意想不到的长时间尺度上表现出弹道输运。我们采用精确的可积技术（例如广义流体力学）定量描述其丰富的现象学。最后，我们启动了对破坏可积性的磁振子簇的研究，其前导输运是通过周围孤立磁振子的散射来激活的。
We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into exponentially many decoupled sectors. We find that the sector made of isolated magnons is integrable with dynamics being governed by a constrained version of the XXZ spin Hamiltonian. As a consequence, when initiated in this sector, the Ising chain exhibits ballistic transport on unexpectedly long timescales. We quantitatively describe its rich phenomenology employing exact integrable techniques such as generalized hydrodynamics. Finally, we initiate studies of integrability-breaking magnon clusters whose leading-order transport is activated by scattering with surrounding isolated magnons.