二聚化非对角准晶中退相诱导的不同迁移率边
Dephasing-induced distinct mobility edges in a dimerized off-diagonal quasicrystal
AI总结：
本研究在受格点纯退相作用的二聚化非对角AAH准晶中，通过理论推导与数值验证发现纯退相可诱导不同迁移率边，揭示退相是控制局域化转变的有力机制。
AI中文摘要：
安德森局域化与迁移率边（ME）已在孤立非周期系统中得到广泛研究。传统理论认为，退相与退相干会破坏局域化并促进输运。本工作研究了受格点纯退相作用的二聚化非对角Aubry-Andre-Harper（AAH）准晶中的局域化行为。在强退相极限下，我们在Lindblad主方程框架内应用绝热消去法，推导了控制耗散弛豫动力学的有效经典马尔可夫转移矩阵。与直觉相反，我们证明纯退相可诱导出不同的ME，包括分隔扩展态与局域化态的常规ME，以及分隔多分形临界态与局域化态的反常ME，即便原始闭合相干系统的所有本征态均为扩展态或多分形态。利用分形维数有限尺寸标度、波包扩散动力学和能谱统计，我们数值验证了耗散系统弛豫谱中存在完全扩展区、多分形临界区与局域化区的共存，并构建了全局耗散相图。这些发现表明，退相可作为控制局域化转变的有力机制，从而加深我们对耗散准晶系统的理解。
英文摘要：
Anderson localization and the mobility edge (ME) have been extensively studied in isolated aperiodic systems. Conventional theory suggests that dephasing and decoherence should disrupt localization and facilitate transport. In this work, we investigate localization behaviors in a dimerized off-diagonal Aubry-Andre-Harper (AAH) quasicrystal subject to on-site pure dephasing. In the strong-dephasing limit, we apply adiabatic elimination within the Lindblad master equation framework to derive an effective classical Markov transition matrix that governs the dissipative relaxation dynamics. Counterintuitively, we demonstrate that pure dephasing can induce distinct MEs, including both conventional MEs separating extended and localized states and anomalous MEs separating multifractal critical states from localized states, even when all eigenstates of the original closed coherent system are delocalized or multifractal. Using fractal dimension finite-size scaling, wave-packet spreading dynamics, and energy spectrum statistics, we numerically verify the coexistence of fully extended, multifractal critical, and localized regions within the relaxation spectrum of the dissipative system, and construct the global dissipative phase diagram. These findings reveal that dephasing can see as a powerful mechanism for controlling localization transitions, thus enhancing our understanding of dissipative quasicrystal systems.
