用原生控制实现例外点编织
Exceptional-point braiding with native controls
AI总结：
研究如何通过原生控制实现例外点编织动态转移，引入受限绝热捷径原理，在特定非厄米模型中演示构造，利用失谐、驱动幅度等控制，通过平滑实波形实现分支交换转移，在校准等误差下保持准确。
AI中文摘要：
例外点通过非厄米本征模的全纯延拓定义分支交换态转移，但动态实现这些转移仍很困难。缓慢环绕通常不能传输完整的瞬时本征态集，而绝热捷径可能需要原生实验流形之外的控制。本文引入一种使用原生控制的受限绝热捷径原理用于例外点编织。在一个修饰的瞬时本征态框架中，可用控制在局部消除可及的跃迁通道，而剩余通道在演化过程中保持活跃，但被限制在闭环上没有净累积效应。该协议因此针对由理想绝热分支交换选择的端点态转移，而非在整个轨迹上强制完全局部消除或绝热跟随。我们在一个最小的双模非厄米模型中演示了这种构造，该模型在迹移位和基约定下等同于耗散传输子例外点实验中使用的有效哈密顿量，其中失谐和驱动幅度提供实际控制，相对损耗不平衡确定非厄米尺度。平滑的实波形仅重塑这些控制，重现分支交换转移，并且在校准误差、例外点不确定性和有限带宽滤波下以适度的开销保持准确。
英文摘要：
Exceptional points define branch-exchange state transfers through holomorphic continuation of non-Hermitian eigenmodes, but realizing these transfers dynamically remains difficult. Slow encircling does not generally transport the full set of instantaneous eigenstates, while shortcuts to adiabaticity can require controls outside the native experimental manifold. Here, we introduce a constrained shortcut-to-adiabaticity principle for exceptional-point braiding using native controls. In a dressed instantaneous-eigenstate frame, the available controls cancel the accessible transition channels locally, while the residual channels remain active during the evolution but are constrained to have no net accumulated effect over the closed loop. The protocol therefore targets the endpoint state transfer selected by ideal adiabatic branch exchange, rather than enforcing complete local cancellation or adiabatic following throughout the trajectory. We demonstrate the construction in a minimal two-mode non-Hermitian model equivalent, up to a trace shift and a basis convention, to the effective Hamiltonian used in dissipative-transmon exceptional-point experiments, where detuning and drive amplitude provide real controls and the relative loss imbalance fixes the non-Hermitian scale. Smooth real waveforms reshape only these controls, reproduce the branch-exchange transfer, and remain accurate under calibration errors, exceptional-point uncertainty and finite-bandwidth filtering with modest overhead.
