发表机构
Kharazmi University（卡扎维米大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过有限宽度马约拉纳快门模型，揭示红外散射数据统一控制全局与空间多体可观测量，并给出其红外系数不可互换的结论。
AI 中文摘要
我们研究了一个有限宽度的马约拉纳快门（Majorana shutter），将其视为一个局域的、随时间变化的散射缺陷，并确定其红外记忆中哪些特征对微观空间轮廓不敏感。对于光滑的快门，零频散射矩阵由积分耦合决定，而有限宽度修正则在长波极限下消失。随后，一个随时间变化的开关会产生一个红外Bogoliubov核，其奇异部分由该散射矩阵的变化所控制。我们通过三个可观测量来考察多体响应。开关前后的高斯真空重叠表现出安德森正交性（Anderson orthogonality），其指数由散射角设定。对淬火后准粒子数的格点计算解析了其对数红外增长，在慢开关测试中达到了预测的系数，并再现了预期的散射角变化依赖性。当纠缠切割穿过快门时，熵遵循共形缺陷的有效中心荷描述，无参数吻合度达到百分之一水平，且对于更宽的快门有所改善。当快门位于区间内部时，其贡献仍为次主导的有限尺寸修正。一个局域双线性关联子趋近于预期的马约拉纳幂律，且未显示稳定的对数振幅。这些结果表明，相同的低频散射数据控制着不同的全局和空间可观测量，而它们的红外系数不可互换。其余极限也已明确给出：连续核的有限记忆修正以及大区间空间熵的可控连续极限。
英文摘要
We study a finite-width Majorana shutter as a local, time-dependent scattering defect and determine which features of its infrared memory are insensitive to the microscopic spatial profile. For a smooth shutter, the zero-frequency scattering matrix is fixed by the integrated coupling, while finite-width corrections vanish in the long-wavelength limit. A time-dependent switch then produces an infrared Bogoliubov kernel whose singular part is controlled by the change in this scattering matrix. We examine the many-body response through three observables. The overlap of the pre- and post-shutter Gaussian vacua exhibits Anderson orthogonality, with an exponent set by the scattering angle. A lattice calculation of the post-quench quasiparticle number resolves its logarithmic infrared growth, reaching the predicted coefficient in the slow-switch test and reproducing the expected dependence on the scattering-angle change. When the entanglement cut passes through the shutter, the entropy follows the effective-central-charge description of a conformal defect, with parameter-free agreement at the percent level, improving for the wider shutter. When the shutter lies inside the interval, its contribution remains a subleading finite-size correction. A local bilinear correlator approaches the expected Majorana power law and shows no stable logarithmic amplitude. These results show that the same low-frequency scattering data control distinct global and spatial observables, while their infrared coefficients are not interchangeable. The remaining limits are also made explicit: the finite-memory correction to the continuum kernel and the controlled continuum limit of large-interval spatial entropy.
Comments39 pages and 5 figures
