论文标题
高度极化的一维费米气体附近的狭窄$ p- $ wave共振
Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
论文作者
论文摘要
基于最近开发的一维$ p $ - 波相互作用的相互作用重归其化，我们研究了浸入高度极化的费米海中的单个杂质的问题。他们通过狭窄的$ p $ - 波feshbach共振进行交互，因此有效范围$ r_ {0} $自然出现在系统中。我们将差异方法限制在未扰动的费米海之上的单粒子孔激发。极化子展示了两个溶液的分支，即吸引人和排斥的分支，整个共振的散射长度不同。我们计算每个分支的能量谱，残基和有效质量。我们将二极化能量与穿着分子的能量进行比较，并发现在提高相互作用强度时，分子状态在能量上受到偏爱。随着有效范围的增加，北极分子到整体转变的关键相互作用强度将转移到$ p $ - 波谐振的BCS侧。
Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach resonance, so the effective range $r_{0}$ naturally appears in the system. We use the variational approach limited to single-particle-hole excitations on top of the unperturbed Fermi sea. The polaron exhibits two branches of solutions, namely, the attractive and repulsive branches, with varying scattering length across the resonance. We calculate the energy spectrum, residue and effective mass for each of the branches. We compare the polaronic energy with the energy of the dressed molecule, and find that the molecular state is energetically favored when increasing the interaction strength. The critical interaction strength for the polaron-to-molecule transition will shift to the BCS side of the $p$-wave resonance as the effective range increases.
