Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state

作者：Misguich Gregoire^*; Mallick Kirone; Krapivsky P L

来源：PHYSICAL REVIEW B, 2017, 96(19): 195151.

DOI：10.1103/PhysRevB.96.195151

We study the dynamics of an isotropic spin-1/2 Heisenberg chain starting in a domain-wall initial condition where the spins are initially up on the left half-line and down on the right half-line. We focus on the long-time behavior of the magnetization profile. We perform extensive time-dependent density-matrix renormalization-group simulations (up to t = 350) and find that the data are compatible with a diffusive behavior. Subleading corrections decay slowly blurring the emergence of the diffusive behavior. We also compare our results with two alternative scenarios: superdiffusive behavior and enhanced diffusion with a logarithmic correction. We finally discuss the evolution of the entanglement entropy.

• 出版日期2017-11-27
• 单位中国地震局