论文标题
局部淬火后，孤立的量子自旋链中的耗散动力学
Dissipative dynamics in isolated quantum spin chains after a local quench
论文作者
论文摘要
我们提供了数值证据，表明在隔离的无限量子自旋链中进行局部淬火后，量子状态在局部放松到后淬火后的哈密顿量的基态，即消散。这是统一量子动力学的结果。类似于本征状热假说的机制被证明是造成观察到的耗散的原因。我们还证明了可集成性会阻碍耗散。数值模拟直接在热力学极限下使用基于矩阵乘积状态的时间进化算法进行。观察到纠缠熵的区域定律在局部淬火后保持。结果，可以在较小的键尺寸的情况下长时间进行模拟。研究了Ising链上的各种局部淬火，并研究了三态POTTS链。
We provide numerical evidence that after a local quench in an isolated infinite quantum spin chain, the quantum state locally relaxes to the ground state of the post-quenched Hamiltonian, i.e. dissipates. This is a consequence of the unitary quantum dynamics. A mechanism similar to the eigenstate thermalization hypothesis is shown to be responsible for the dissipation observed. We also demonstrate that integrability obstructs dissipation. The numerical simulations are done directly in the thermodynamic limit with a time-evolution algorithm based on matrix product states. The area law of entanglement entropy is observed to hold after the local quench. As a result, the simulations can be performed for long times with small bond dimensions. Various local quenches on the Ising chain and the three-state Potts chain are studied.
