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Three-body crossover from a Cooper triple to a bound trimer state in three-component Fermi gases near a triatomic resonance
Physical Review A ( IF 2.9 ) Pub Date : 2021-11-30 , DOI: 10.1103/physreva.104.053328 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida
Physical Review A ( IF 2.9 ) Pub Date : 2021-11-30 , DOI: 10.1103/physreva.104.053328 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida
We theoretically investigate ground-state properties of a three-component Fermi gas with pairwise contact interactions between different components near a triatomic resonance where bound trimers are about to appear. Using variational equations for in-medium two- and three-body cluster states in three dimensions, we elucidate the competition of pair and triple formations due to the Fermi surface effects. We present the ground-state phase diagram that exhibits transition from a Cooper pair to Cooper triple state and crossover from a Cooper triple to tightly bound trimer state at negative scattering lengths. This three-body crossover is analogous to the Bardeen-Cooper-Schrieffer to Bose-Einstein condensation crossover observed in a two-component Fermi gas. We predict that the threshold scattering length for three-body states can be shifted towards the weak-coupling side due to the emergence of Cooper triples.
中文翻译:
在三原子共振附近的三组分费米气体中,从库珀三重态到束缚三聚体态的三体交叉
我们从理论上研究了三组分费米气体的基态特性,其中不同组分之间的成对接触相互作用接近三原子共振,其中束缚三聚体即将出现。使用三个维度中介质中二体和三体簇状态的变分方程,我们阐明了由于费米表面效应导致的成对和三重形成的竞争。我们展示了基态相图,它展示了从库珀对到库珀三重态的转变以及从库珀三重态到负散射长度的紧密结合的三聚体态的交叉。这种三体交叉类似于在双组分费米气体中观察到的 Bardeen-Cooper-Schrieffer 到 Bose-Einstein 凝聚交叉。我们预测阈值散射长度 由于库珀三元组的出现,三体态可以向弱耦合侧转移。
更新日期:2021-11-30
中文翻译:
在三原子共振附近的三组分费米气体中,从库珀三重态到束缚三聚体态的三体交叉
我们从理论上研究了三组分费米气体的基态特性,其中不同组分之间的成对接触相互作用接近三原子共振,其中束缚三聚体即将出现。使用三个维度中介质中二体和三体簇状态的变分方程,我们阐明了由于费米表面效应导致的成对和三重形成的竞争。我们展示了基态相图,它展示了从库珀对到库珀三重态的转变以及从库珀三重态到负散射长度的紧密结合的三聚体态的交叉。这种三体交叉类似于在双组分费米气体中观察到的 Bardeen-Cooper-Schrieffer 到 Bose-Einstein 凝聚交叉。我们预测阈值散射长度 由于库珀三元组的出现,三体态可以向弱耦合侧转移。