多分量离散时间量子行走者的受控动力学
Controlled dynamics of a multi-component discrete-time quantum walker
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中文总结 AI 辅助
该研究采用盖尔曼矩阵生成的参数化旋转作为硬币算子，探究一维晶格上三分量量子粒子离散时间量子行走的受控动力学，揭示其丰富输运 regime，为设计目标扩散与捕获行为提供新途径。
中文摘要 AI 辅助
我们研究一维晶格上三分量量子粒子的离散时间量子行走。作为硬币算子，我们采用由盖尔曼矩阵生成的参数化旋转，这使得可以系统地调节内部分量之间的耦合。我们通过在广泛的参数空间区域中系统地探究位置空间概率分布，分析这些耦合如何影响和控制动力学。为了量化不同分量间耦合的影响，我们进一步考察晶格每一半中平均位置与方差的比值。我们的结果表明，该系统支持丰富多样的输运 regime（ regime 译为“ regime”，保留原专业术语），范围从几乎对称、快速扩散的行走到具有部分局域化的强各向异性动力学。因此，该框架为在多分量离散时间量子行走中设计目标扩散和捕获行为提供了新途径。
英文摘要
We investigate a discrete-time quantum walk of a three-component quantum particle on a one-dimensional lattice. As coin operators, we employ parameterized rotations generated by the Gell-Mann matrices, which enable systematic tuning of the couplings between the internal components. We analyze how these couplings influence and control the dynamics by systematically exploring the position-space probability distribution across a broad region of the parameter space. To quantify the impact of different inter-component couplings, we further examine the ratio of the mean position to the variance in each half of the lattice. Our results indicates that the system supports a rich variety of transport regimes, ranging from nearly symmetric, rapidly spreading walks to strongly anisotropic dynamics with partial localization. This framework thus provides a new avenue for engineering targeted spreading and trapping behavior in multicomponent discrete-time quantum walks.
