发表机构
Harish-Chandra Research Institute; Homi Bhabha National Institute（哈里什-昌德拉研究所; 霍米·巴巴国立研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过简并微扰理论分析近简并流形中周期驱动系统的态选择性记忆，提出稳定性判据，并在交替XXZ链中验证了长寿命态与边带共振现象。
AI 中文摘要
为了理解哪些初始态在周期驱动下能保留记忆，有必要偏离产生不变结构的理想极限，并在近简并流形内工作。我们表明，简并本身并非决定性因素，真正重要的是扰动（如结构和驱动缺陷）如何作用于投影多重态。对于在理想极限下解耦为局域簇的系统，投影可在简并微扰理论内计算。在那里，稳定性由两个判据决定：耦合不能将态与流形中的其他简并伙伴连接起来，这可通过动力学阻塞实现，或更一般地，通过将投影耦合对角化实现；并且驱动的局域选择定则必须仅允许与 Floquet 边带失谐的转移能量，在这种情况下，投影驱动生成元精确为零。我们将这些理解形式化地应用于一个周期驱动的清洁、短程交替 XXZ 链，并展示了一系列结果，包括长寿命态（既有乘积形式，也有跨簇纠缠形式）、周期性的边带共振族，以及一个明确示例，展示具有相同能量和电荷的态所面临的相反命运。
英文摘要
In order to understand which initial states retain memory under periodic driving, it is necessary to depart from the ideal limit giving rise to invariant structures and work inside near-degenerate manifolds. We show that degeneracy itself is not conclusive and what actually matters is how perturbations, such as structural and driving imperfections, acts on the projected multiplet. For systems decoupling into the local clusters in the ideal limit, the projections can be computed within degenerate perturbation theory. There the stability is decided by two criteria: the coupling can not connect the state with other degenerate partners in the manifold, either by kinetic blocking, or more generally, by diagonalizing the projected coupling, and the drive's local selection rule must admit only transfer energies detuned from Floquet sidebands, in which case the projected drive generator exactly vanishes. We formalize these understandings in a periodically driven clean, short-ranged alternating XXZ chain and demonstrate a set of results that include, long-lived states, both of product form and entangled across the clusters, a periodic family of sideband resonances, and an explicit example showing opposite fates for states with identical energy and charges.
Comments8 pages, 4 figures
