论文标题
拓扑量子流体中状态的局部密度和粒子纠缠
Local density of states and particle entanglement in topological quantum fluids
论文作者
论文摘要
对粒子纠缠的理解是相关量子物质研究的重要目标。扫描隧道光谱法的广泛使用方法是对多体系统的局部密度（LDOS）的局部密度，预计将对粒子纠缠敏感。在本文中，我们系统地研究了粒子纠缠光谱（PES）和分数量子霍尔（FQH）的LDO之间的关系，该范围具有拓扑顺序的电子相关的范式强相关。使用精确的对角度化，我们表明，可以从复合费米昂理论中预测LDOS和PES中LDO和PE的水平的计数。我们指出了散装Quasihole激发的LDO和PES表征之间的差异，并讨论了可以将LDOS计数映射到PE的条件。我们的结果肯定，隧道光谱是识别FQH状态性质的敏感工具。
The understanding of particle entanglement is an important goal in the studies of correlated quantum matter. The widely-used method of scanning tunneling spectroscopy -- which measures the local density of states (LDOS) of a many-body system by injecting or removing an electron from it -- is expected to be sensitive to particle entanglement. In this paper, we systematically investigate the relation between the particle entanglement spectrum (PES) and the LDOS of fractional quantum Hall (FQH) states, the paradigmatic strongly-correlated phases of electrons with topological order. Using exact diagonalization, we show that the counting of levels in both the LDOS and PES in the Jain sequence of FQH states can be predicted from the composite fermion theory. We point out the differences between LDOS and PES characterization of the bulk quasihole excitations, and we discuss the conditions under which the LDOS counting can be mapped to that of PES. Our results affirm that tunneling spectroscopy is a sensitive tool for identifying the nature of FQH states.
