论文标题
多体Hatano-Nelson模型中的完整计数统计数据
Full counting statistics in the many-body Hatano-Nelson model
论文作者
论文摘要
我们在具有开放边界条件的相互作用的Hatano-Nelson模型中研究非热的多体物理学。由虚构矢量电势引起的互惠的侵犯会诱导非铁皮皮肤效应，并在非相互作用极限下为所有单个粒子特征性引起指数定位。然而，相互作用系统的密度曲线相对于平均填充而变得略微倾斜。弗里德尔振荡由于费米波数的修饰而表现出跳动模式。粒子在任何有限间隔上的概率分布是正态分布，其平均尺度具有假想矢量电位，方差与链的中心对称。即使对于相对较小的系统，也可以通过数字精确的方法来确认这一点。这些特征不仅对费米子是通用的，因此由于保利的排除原则，它们自然会相互驱逐，而且对于相互作用的玻色子也是如此。我们的发现表明，多体效应可以显着改变和掩盖单个颗粒的特性和非铁质系统中的皮肤效应。
We study non-hermitian many-body physics in the interacting Hatano-Nelson model with open boundary condition. The violation of reciprocity, resulting from an imaginary vector potential, induces the non-hermitian skin-effect and causes exponential localization for all single particle eigenfunctions in the non-interacting limit. Nevertheless, the density profile of the interacting system becomes only slightly tilted relative to the average filling. The Friedel oscillations exhibit a beating pattern due to the modification of the Fermi wavenumber. The probability distribution of particles over any finite interval is the normal distribution, whose mean scales with the imaginary vector potential and the variance is symmetric to the center of the chain. This is confirmed by several numerically exact methods even for relatively small systems. These features are expected to be generic not only for fermions, which naturally repel each other due to Pauli's exclusion principle, but for interacting bosons as well. Our findings indicate that many-body effects can significantly alter and conceal the single particle properties and the skin effect in non-hermitian systems.
