加速器中涡旋电子的态分辨量子输运
State-resolved quantum transport of vortex electrons in accelerators
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中文总结 AI 辅助
该研究建立加速器晶格中涡旋电子输运的密度矩阵理论，揭示周期性圆形晶格中涡旋电子OAM输运的特性，给出不同噪声下的泄漏规律及IOTA、PETRA III的初始泄漏逆尺度。
中文摘要 AI 辅助
我们建立了加速器晶格中涡旋电子输运的密度矩阵理论。在周期性圆形晶格中，受保护的对象是Lewis-Floquet轨道角动量（OAM）不变量，而非瞬时动能OAM；理想输运具有 metaplectic 提升，随机缺陷会产生Lindblad通道，偶极噪声会产生可消除的质心弥散，四极噪声会驱动本征Δℓ=±2泄漏。在明确的白噪声基准下，IOTA的初始泄漏逆尺度为2×10^5圈，PETRA III的则为2×10^6圈。
英文摘要
Vortex electrons carry a quantized orbital angular momentum (OAM) degree of freedom, but whether this internal structure can survive repeated transport through an accelerator lattice remains unclear. Here we formulate a density-matrix theory for periodic round lattices and show that the symmetry-protected quantity is a Lewis-Floquet OAM invariant, rather than the instantaneous kinetic OAM. The classical transfer map lifts to unitary state evolution, while stochastic field errors generate a Lindblad channel. This framework exposes a sharp separation between visibility and state survival. Dipole jitter displaces the wavepacket, rapidly smearing a vortex signature measured about a fixed origin without altering its recentered internal OAM distribution. Quadrupole fluctuations instead drive genuine $Δ\ell=\pm2$ leakage. For a matched $n=0$, $|\ell|=1$ mode, white-noise estimates based on representative IOTA and PETRA III parameters give fixed-frame smearing scales of $4.9\times10^2$ and $3.3$ turns, but intrinsic-leakage scales of $2.1\times10^5$ and $2.2\times10^6$ turns, respectively. Thus loss of an unrecentered vortex image need not signal destruction of the vortex state: its internal OAM structure can persist hundreds to hundreds of thousands of times longer. Centroid tracking and quadrupole stability are therefore distinct experimental requirements for observability and state survival, respectively.
发表机构
- School of Physics and Engineering, ITMO University（ITMO大学物理与工程学院）
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