论文标题
Bose-Fermi混合物的双重性
Bistability of Bose-Fermi mixtures
论文作者
论文摘要
我们从达到自结合的量子液滴状态的角度研究了玻色纤维混合物的特性。变分分析表明该系统具有双重性。对于玻色子之间的弱排斥，一个平衡状态之一，尺寸较小，球形对称和负能量，对应于量子液滴，另一个始终为正能，代表浸在费米尼克云的海中的细长液滴状状态。为了使玻色子之间更强的排斥，分叉被抓住了，只剩下以前的国家。现在，它代表了一个伸长的对象，对于足够强大的玻色子特性吸引力，它会产生负能量。当释放陷阱时，它变成了激发的玻色纤维液滴，这是通过求解玻色纤维系统的量子水动力学方程来证明的。为了描绘我们的想法，我们考虑$^{133} $ cs-$^6 $ li混合物在理想条件下，即我们没有损失。
We study the properties of the Bose-Fermi mixture from the perspective of reaching a state of a self-bound quantum droplet. The variational analysis shows that the system exhibits bistability. For weak repulsion between bosons, one of the equilibrium states, smaller in size, spherically symmetric, and with negative energy, corresponds to quantum droplet, the other with always positive energy represents the elongated droplet-like state immersed in the sea of a fermionic cloud. For stronger repulsion between bosons the bifurcation is seized and only the former state is left. Now it represents an elongated object which, for strong enough boson-fermion attraction, gets negative energy. It becomes an excited Bose-Fermi droplet when the trap is released, what is demonstrated by solving the quantum hydrodynamics equations for the Bose-Fermi system. To depict our ideas we consider the $^{133}$Cs-$^6$Li mixture under ideal conditions, i.e. we assume no losses.
