AI 中文总结
研究时间晶体结构中的量子回飞棒效应，通过周期性驱动量子粒子，构建弗洛凯 - 万尼尔态并引入时间无序，映射到离散晶格，监测波包时间演化，证实了时域中完整QBE的存在，展示了时间晶体系统可探索非平凡动力学。
AI 中文摘要
量子回飞棒效应（QBE）是安德森局域化的独特动力学特征，其特点是发射的波包最初漂移，但由于基本量子干涉最终返回初始位置。本文中，我们通过在一维势阱中周期性驱动量子粒子，从理论上建立并定量表征了时间晶体结构中的QBE。通过构建最大局域化的弗洛凯 - 万尼尔态并引入时间无序，我们将连续的弗洛凯动力学严格映射到离散无序紧束缚晶格上。通过在固定空间坐标处放置探测器，监测波包的时间演化，提取时间晶体结构中概率密度的平均时间质心。该平均时间质心呈现出初始弹道扩展，随后显著掉头，最终在长时间演化后返回其初始时间位置。这些结果证实了时域中完整QBE的存在，也表明即使时间晶体系统已具有固有时间周期性，仍可探索非平凡动力学。
英文摘要
The quantum boomerang effect (QBE) is a unique dynamical signature of Anderson localization, characterized by a launched wavepacket that initially drifts but ultimately returns to its initial position due to fundamental quantum interference. In this work, we theoretically establish and quantitatively characterize the QBE in a time-crystalline structure using a periodically driven quantum particle in a one-dimensional potential well. By constructing maximally localized Floquet-Wannier states and introducing temporal disorder, we rigorously map the continuous Floquet dynamics onto a discrete disordered tight-binding lattice. By positioning a detector at a fixed spatial coordinate, we monitor the temporal evolution of the wavepacket, to extract the mean temporal center of mass of the probability density in a time-crystalline structure. This mean temporal center of mass exhibits an initial ballistic expansion, followed by a pronounced U-turn, and ultimately returns to its initial temporal position after long-time evolution. These results confirm the existence of the complete QBE in the time domain. They also demonstrate that non-trivial dynamics can be explored within time-crystalline systems, even though these structures already possess an inherent temporal periodicity.
CommentsAccepted for publication in Phys. Rev. B
Journal refPhys. Rev. B 114, 014316 (2026)
