具有平带的平移不变金刚石梯中的多体局域化
Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
AI总结：
本文研究具有稳定平带的平移不变金刚石梯，证明无淬火无序时相互作用可诱导多体局域化，并通过热化违反、谱性质及多种动力学和纠缠指标加以验证。
摘要：
平带的存在是晶格系统中局域化的一个来源。虽然平带对于粒子间相互作用通常是不稳定的，但在某些情况下它们可以持续存在。我们考虑一种具有横向跃迁的金刚石梯，它拥有这种稳定的平带，并表明在没有淬火无序的情况下，相互作用存在时会出现多体局域化。我们通过数值证明本征态热化假说受到违反。我们表明，简并平带态的影响扩散到整个能谱，并在热力学极限下呈广延性增长。此外，我们从某些局域可观测量的时间演化、回复概率、参与率和纠缠熵等方面验证了局域化。
英文摘要：
The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with transverse hopping that possesses such stable flat bands and show that many-body localization appears in the presence of interactions without quenched disorder. We numerically demonstrate that the eigenstate thermalization hypothesis is violated. We show that the influence of degenerate flat band states spreads across the full energy spectrum and grows extensively in the thermodynamic limit. Furthermore, we verify localization in terms of time evolution of some local observable, revival probability, participation ratio and entanglement entropy.
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