标题： 非互易准晶体中关联粒子的局域化转变 显示英文标题

标题： Localization transitions of correlated particles in nonreciprocal quasicrystals

摘要： 相互作用、非厄米性和无序之间的相互作用为工程新颖的相变开辟了新途径。我们在此研究一维非互易准晶体中两个相互作用的玻色子的谱和局域化特征。具体来说，通过考虑具有非互易跃迁的准周期Hubbard晶格，我们表明相互作用可以导致迁移率边，这源于束缚态在谱和扩展-局域转变方面的阈值远低于散射态。束缚态或散射态的局域化转变伴随着复数-实数谱的转变。此外，虽然两粒子局域态对边界条件具有鲁棒性，但在开放边界条件下，两粒子扩展态会转变为皮肤模式。我们还展示了相关动力学以表征这些局域化转变。最后，我们揭示通过引入二聚化的非互易准晶体，束缚态可以自身形成迁移率边。我们的论文可能为非厄米少体物理的研究铺平道路。 显示英文摘要

摘要： The interplay among interaction, non-Hermiticity, and disorder opens a new avenue for engineering novel phase transitions. We here study the spectral and localization features of two interacting bosons in one-dimensional nonreciprocal quasicrystals. Specifically, by considering a quasiperiodic Hubbard lattice with nonreciprocal hoppings, we show that the interaction can lead to a mobility edge, which arises from the fact that the bound states display a much lower threshold for spectral and extended-localized transitions than scattering states. The localization transition of bound or scattering states is accompanied by a complex-real spectrum transition. Moreover, while the two-particle localized states are robust to the boundary conditions, the two-particle extended states turn into skin modes under open boundary condition. We also show the correlated dynamics to characterize these localization transitions. Finally, we reveal that the bound states can form mobility edge on their own by introducing a dimerized nonreciprocal quasicrystal. Our paper may pave the way for the study of non-Hermitian few-body physics.