受控费米子的林布拉德皮肤态中的范围控制纠缠
Range-controlled entanglement in Lindbladian skin states of monitored fermions
AI总结：
通过可调跳跃范围的耗散费米子链，在Gaussian轨迹近似下发现短程跳跃导致完全皮肤积累和面积律纠缠，长程跳跃产生有限体尾和代数子体积律纠缠。
AI中文摘要：
储层工程可以稳定在幺正动力学中无法达到的状态。定向粒子守恒耗散产生林布拉德皮肤态，其中泡利不相容将边缘积累转化为多体密度不平衡。在具有可调跳跃范围的受控费米子链中，我们在高斯轨迹近似下识别出两个有限尺寸标度区域：短程跳跃与完全皮肤积累和面积律纠缠一致，而足够长程跳跃产生有限体尾和有效的代数子体积律纠缠。因此，耗散和相干跳跃共同控制皮肤局域化和量子纠缠，突显了它们之间的紧密联系。
英文摘要：
Reservoir engineering can stabilize states inaccessible to unitary dynamics. Directed particle-conserving dissipation creates Lindbladian skin states, where Pauli exclusion turns edge accumulation into a many-body density imbalance. In a monitored fermion chain with tunable hopping range, we identify, within a Gaussian trajectory approximation, two finite-size scaling regimes: short-range hopping is consistent with complete skin accumulation and area-law entanglement, whereas sufficiently long-range hopping produces a finite bulk tail and effective algebraic sub-volume-law entanglement. Dissipation and coherent hopping thus jointly control skin localization and quantum entanglement, highlighting their close interconnection.
