论文标题
在不同的动力学方面的远距离ISING模型的热化：完整的计数统计方法
Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
论文作者
论文摘要
我们研究了横向磁场链的热化，并在横向场的全局量子淬灭之后，使用功率定律衰减相互作用$ \ sim 1/r^α$，达到了两个不同的动力学状态。我们通过比较不断发展的状态的完整概率分布函数（PDF）与吉布斯规范集合（GCE）给出的相应热状态来量化热化行为。为此，我们使用基于矩阵的乘积状态（MPS）依赖性变分原理（TDVP）算法来模拟全局量子淬火和有限温度密度运算符后的实时演变。我们观察到，对所有相互作用强度$α$的强烈限制在该区域中受到了强烈抑制，而热力化发生在该区域中的限制较弱。
We study thermalization of transverse field Ising chain with power law decaying interaction $\sim 1/r^α$ following a global quantum quench of the transverse field to two different dynamical regimes. We quantify the thermalization behavior by comparing the full probability distribution function (PDF) of the evolving states with the corresponding thermal state given by the Gibbs canonical ensemble (GCE). To this end, we use matrix product state (MPS) based time dependent variational principle (TDVP) algorithm to simulate both real time evolution following a global quantum quench and the finite temperature density operator. We observe that thermalization is strongly suppressed in the region with strong confinement for all the interaction strength $α$ considered whereas thermalization occurs in the region with weak confinement.
