论文标题
清洁和随机量子链链的光谱形式因素
Spectral form factors of clean and random quantum Ising chains
论文作者
论文摘要
我们在一个空间维度上计算了两个主要量子量子系统的光谱形式因子。量子链的光谱形式因子在时间上定期在缩放限制中，由保形场理论描述。我们还计算了晶格效应和偏离临界偏差的校正。随机链中的临界性是由与强随机性固定点相关的罕见区域描述的，这些区域控制着光谱形式的长时间极限。
We compute the spectral form factor of two integrable quantum-critical many body systems in one spatial dimension. The spectral form factor of the quantum Ising chain is periodic in time in the scaling limit described by a conformal field theory; we also compute corrections from lattice effects and deviation from criticality. Criticality in the random Ising chain is described by rare regions associated with a strong randomness fixed point, and these control the long time limit of the spectral form factor.
