Pieri P, Strinati G C
Dipartimento di Fisica, UdR INFM, Università di Camerino, I-62032 Camerino, Italy.
Phys Rev Lett. 2003 Jul 18;91(3):030401. doi: 10.1103/PhysRevLett.91.030401. Epub 2003 Jul 15.
We derive the time-independent Gross-Pitaevskii equation at zero temperature for condensed bosons, which form as bound-fermion pairs when the mutual fermionic attractive interaction is sufficiently strong, from the strong-coupling limit of the Bogoliubov-de Gennes equations that describe superfluid fermions in the presence of an external potential. Three-body corrections to the Gross-Pitaevskii equation are also obtained by our approach. Our results are relevant to the recent advances with ultracold fermionic atoms in a trap.
我们从描述存在外部势时超流费米子的博戈留波夫 - 德热纳方程的强耦合极限出发,推导出了零温度下凝聚玻色子的与时间无关的格罗斯 - 皮塔耶夫斯基方程,当相互的费米子吸引相互作用足够强时,凝聚玻色子会形成束缚费米子对。我们的方法还得到了格罗斯 - 皮塔耶夫斯基方程的三体修正。我们的结果与捕获中超冷费米子原子的最新进展相关。