论文标题
无效的能量挑战了多体定位过渡的恒星侧的热化
Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
论文作者
论文摘要
我们在其标准模型中研究了多体定位跃迁的厄隆式侧面，该偏差为Heisenberg量子自旋链。我们表明，从远程光谱统计数据和全部动量分布波动的功率光谱中提取的无能的能量不足以保证热化。我们发现，两种估计都重合和表现非单调性，在该疾病的中间值中表现出很强的峰值。此外，我们表明，非热的初始条件发生在沿阵行相内，其概率比预期的要大。最后，我们提出了一种机制，该机制是由无与伦比的能量和异常事件的存在驱动的，以过渡到局部阶段。
We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum of the full momentum distribution fluctuations, is not large enough to guarantee thermalization. We find that both estimates coincide and behave non-monotonically, exhibiting a strong peak at an intermediate value of the disorder. Furthermore, we show that non-thermalizing initial conditions occur well within the ergodic phase with larger probability than expected. Finally, we propose a mechanism, driven by the Thouless energy and the presence of anomalous events, for the transition to the localized phase.
