论文标题
逃脱精确本征态中的多体定位
Escaping many-body localization in an exact eigenstate
论文作者
论文摘要
孤立的量子系统通常遵循本征状热假说,但是有例外,例如多体局部(MBL)系统和量子多体疤痕。在这里,我们介绍了由于特殊状态嵌入了MBL状态的特殊状态,因此对MBL的较弱侵犯进行了研究。特殊状态不是MBL,因为它显示了纠缠熵的对数尺度和具有子系统大小的粒子数的两分波的波动。相反,由于引入了疾病,大部分光谱变为MBL。我们通过研究熵作为无序力量的函数来确定这一点,并观察到水平间隔统计数据会随着疾病强度的增加而从Wigner-Dyson到泊松统计的过渡。
Isolated quantum systems typically follow the eigenstate thermalization hypothesis, but there are exceptions, such as many-body localized (MBL) systems and quantum many-body scars. Here, we present the study of a weak violation of MBL due to a special state embedded in a spectrum of MBL states. The special state is not MBL since it displays logarithmic scaling of the entanglement entropy and of the bipartite fluctuations of particle number with subsystem size. In contrast, the bulk of the spectrum becomes MBL as disorder is introduced. We establish this by studying the entropy as a function of disorder strength and by observing that the level spacing statistics undergoes a transition from Wigner-Dyson to Poisson statistics as the disorder strength is increased.