Quantum droplet of one-dimensional bosons with a three-body attraction
Quantum droplet of one-dimensional bosons with a three-body attraction
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DOI：
10.1103/physreva.97.011602
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发表时间：
2017-11
影响因子：
2.9
通讯作者：
Yuta Sekino;Y. Nishida
中科院分区：
文献类型：
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作者：
Yuta Sekino;Y. Nishida
超冷原子提供了有价值的机会，可以随意控制粒子间的相互作用。特别是，通过消除两体相互作用，可以实现由三体相互作用支配的独特系统，否则它就会隐藏在两体相互作用背后。本文研究了具有弱三体引力的一维玻色子，发现它们在量子力学作用下可以形成少体束缚态和多体液滴。它们的结合能相对于三个玻色子的结合能都是普适性的，并且发现稀液滴的基态能量随着粒子数$N\gg1$的增加呈指数增长$E_N/E_3\to\exp(8N^2/\sqrt3\pi)$。讨论了在光学晶格中耦合双组分玻色子系统的实现。
Ultracold atoms offer valuable opportunities where interparticle interactions can be controlled at will. In particular, by extinguishing the two-body interaction, one can realize unique systems governed by the three-body interaction, which is otherwise hidden behind the two-body interaction. Here we study one-dimensional bosons with a weak three-body attraction and show that they form few-body bound states as well as a many-body droplet stabilized by the quantum mechanical effect. Their binding energies relative to that of three bosons are all universal and the ground-state energy of the dilute droplet is found to grow exponentially as $E_N/E_3\to\exp(8N^2/\sqrt3\pi)$ with increasing particle number $N\gg1$. The realization of our system with coupled two-component bosons in an optical lattice is also discussed.