论文标题
有限无序的旋转链中的奇质性破坏过渡
Ergodicity Breaking Transition in Finite Disordered Spin Chains
论文作者
论文摘要
我们研究了相互作用的自旋-1/2链的高能特征状态中疾病引起的恐怖性破坏过渡。使用精确的对角度化，我们引入了一种成本函数方法，以定量比较特征状态过渡的不同情况。我们研究了诸如本征态纠缠熵和光谱水平间距之比之类的登山性指标，并且与有限级过渡相比，（无限级）kosterlitz-无限的kosterlitz-thouless theless thyless theless theless thowless theless the batiention指标。有趣的是，我们观察到有限系统中的过渡点几乎表现出热能性能，即过渡时的千古指标接近随机矩阵理论预测。
We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. We study ergodicity indicators such as the eigenstate entanglement entropy and the spectral level spacing ratio, and we consistently find that an (infinite-order) Kosterlitz-Thouless transition yields a lower cost function when compared to a finite-order transition. Interestingly, we observe that the transition point in finite systems exhibits nearly thermal properties, i.e., ergodicity indicators at the transition are close to the random matrix theory predictions.
