AI 中文总结
本研究针对盒形势阱中吸引相互作用费米子的配对问题，在半无限超流体极限下分析边缘配对特性，发现弱耦合BCS区的类Friedel振荡会随耦合向BEC区增强而被抑制。
AI 中文摘要
我们研究被限制在盒形势阱中、具有吸引相互作用的费米子配对问题。与无限平移不变的情况（其局域配对序在空间上均匀，随相互作用变化经历玻色-爱因斯坦凝聚到巴丁-库珀-施里弗（BEC-BCS）渡越）不同，本情况中局域配对预计在盒边缘附近快速变化。我们在半无限超流体极限下解决该问题，发现边缘配对的性质对耦合强度敏感依赖：弱耦合BCS区的局域配对呈现类Friedel振荡，随耦合强度向BEC区增强，该振荡会被抑制。
英文摘要
We study pairing of attractively interacting fermions confined to a box-shaped trap. In contrast to the infinite translationally-invariant case, where the local pairing order is spatially uniform and undergoes the Bose-Einstein Condensate to Bardeen-Cooper-Schrieffer (BEC-BCS) crossover as interactions are varied, in this case the local pairing is expected to vary rapidly near the edge of the box. We address this problem in the limit of a semi-infinite superfluid, finding that the nature of the edge pairing depends sensitively on the coupling. The local pairing exhibits Friedel-like oscillations in the weak coupling BCS regime that are suppressed with increasing coupling strength towards the BEC regime.
Comments16 pages, 14 figures
