AI 中文总结
研究二维Lieb晶格中自旋依赖合成通量对物质波传输的调控，揭示半通量区自旋向上传播受抑制的现象，为平坦带模拟器区分精确囚禁与动力学减速提供判据。
AI 中文摘要
我们研究二维最近邻Lieb晶格中由自旋依赖的Peierls相位诱导的可逆内部态选择波包传输。两个守恒的自旋分量经历有效通量α_σ=α₀+s_σα_s，其中s_↑,↓=±1。在工作点α₀=α_s=1/4时，自旋向上分量经历α_↑=1/2，自旋向下分量经历α_↓=0。在q=2磁单胞中的带分辨计算表明，自旋向上谱包含两个与子晶格不平衡平坦带区域相关的零能平坦子带，其余四个子带保持有限带宽。因此，半通量区不满足全带平坦条件，无法对一般局域初始态实现精确的Aharonov-Bohm囚禁。然而，实时模拟显示，相对于色散的自旋向下分量，自旋向上的传播受到显著抑制，表现为更小的均方位移和预反射时间窗口内增强的有限区域保留概率。反转依赖于状态的通量会交换慢和快自旋通道，而动力学对比度对中等通量失谐具有鲁棒性。这些结果确立了自旋依赖的合成通量是一种控制内部态分辨物质波传输的可逆手段，无需自旋翻转过程或相互作用，并为区分原子和光子平坦带模拟器中的精确囚禁与有限时间动力学减速提供了互补的谱和实空间判据。
英文摘要
We investigate reversible internal-state-selective wave-packet transport induced by spin-dependent Peierls phases in a two-dimensional nearest-neighbor Lieb lattice. The two conserved spin components experience effective fluxes $α_σ=α_{0}+s_σα_{s}$, where $s_{\uparrow,\downarrow}=\pm1$. At the working point $α_{0}=α_{s}=1/4$, the spin-up and spin-down components experience $α_{\uparrow}=1/2$ and $α_{\downarrow}=0$, respectively. A band-resolved calculation in the $q=2$ magnetic unit cell shows that the spin-up spectrum contains two zero-energy flat subbands associated with the sublattice-imbalance flat-band sector, whereas the remaining four subbands retain finite bandwidths. The half-flux sector therefore fails the all-bands-flat condition and does not realize exact Aharonov--Bohm caging for a generic localized initial state. Nevertheless, real-time simulations reveal a pronounced suppression of spin-up propagation relative to the dispersive spin-down component, manifested by a smaller mean-square displacement and an enhanced finite-region retention probability over the pre-reflection time window. Reversing the state-dependent flux interchanges the slow and fast spin channels, while the dynamical contrast remains robust against moderate flux detuning. These results establish spin-dependent synthetic flux as a reversible means of controlling internal-state-resolved matter-wave transport without spin-flip processes or interactions, and provide complementary spectral and real-space criteria for distinguishing exact caging from finite-time dynamical slowing in atomic and photonic flat-band simulators.
Comments14 pages, 5 figures
