发表机构
Universität zu Köln; Universität Innsbruck（科隆大学; 因斯布鲁克大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究证明自适应费米子电路中密度与相干性趋肤效应可独立调控，通过条件门相位实现拓扑转变，使两者局域于相反边缘。
AI 中文摘要
自适应电路利用测量和基于结果的反馈来实现无需后选择的非互易动力学。我们证明费米子电路具有独立可调的密度和相干性趋肤效应。稳态具有精确的密度倾斜，仅由测量强度和反馈位移决定：条件门细节抵消，产生指数单粒子分布，并在任意填充下产生倾斜的构型权重系综。相反，衰减的相干性在体区遵循由条件门通过相对占据相位控制的有效Hatano-Nelson生成元。调节该相位驱动点隙拓扑转变，并在固定密度下反转相干性局域化，使得密度和相干性可以局域在相对边缘。我们推导了条件U(2)门的两个指数，并提出了使用系综平均可观测量的关联比探针。
英文摘要
Adaptive circuits use measurements and outcome-conditioned feedback to implement nonreciprocal dynamics without postselection. We show that fermion circuits host independently tunable density and coherence skin effects. The stationary state has an exact density tilt set only by measurement strength and feedback displacement: conditioned-gate details cancel, yielding an exponential one-particle profile and, at any filling, a tilted ensemble of configuration weights. Decaying coherences instead obey, in the bulk, an effective Hatano-Nelson generator controlled by the conditioned gates through a relative occupation phase. Tuning this phase drives a point-gap topological transition and reverses coherence localization at fixed density, allowing density and coherence to localize at opposite edges. We derive both exponents for conditioned $U(2)$ gates and propose a correlator-ratio probe using ensemble-averaged observables.
