发表机构
Institute for Research in Fundamental Sciences (IPM)（基础科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究有限Krylov扇区向共形尾部的相干释放，推导精确占据核及移动截断极限，并探讨热AdS$_2$实现中弱耦合极限下的响应特性。
AI 中文摘要
我们研究了从有限串行Krylov扇区向具有渐近线性Lanczos系数的精确共形尾部进行的相干释放。我们推导出一个精确的有限截断占据核及其局部均匀移动截断极限，其导数是滤波边界发射振幅的模平方。尾部设定了滤波核和对数渡越尺度，而释放轮廓也依赖于有限扇区。其早期边缘记录了发射前的串行步数，而晚期边缘则反映了慢共振、干涉以及合并极点带来的对数增强。一个单点和双点家族可以共享相同的前导连分式极点，同时展现出不等价的轮廓。我们进一步考虑了一个热AdS$_2$实现，在弱耦合极限下，修饰振子测度趋近于一个双点浅扇区后接共形尾部，且前导复极点被重现至二阶。
英文摘要
We study coherent release from a finite serial Krylov sector into an exact conformal tail with asymptotically linear Lanczos coefficients. We derive an exact finite-cut occupation kernel and its locally uniform moving-cut limit, whose derivative is the squared modulus of a filtered boundary-emission amplitude. The tail sets the filtering kernel and logarithmic transit scale, while the release profile also depends on the finite sector. Its early edge records the number of serial steps before emission, whereas its late edge reflects slow resonances, interference, and logarithmic enhancements from merged poles. A one- and two-site family can share the same leading continued-fraction pole while exhibiting inequivalent profiles. We further consider a thermal AdS$_2$ realization in which, in the weak-coupling limit, the dressed oscillator measure approaches a two-site shallow sector followed by the conformal tail, with the leading complex pole reproduced through second order.
Comments26 pages, one figure
