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arXiv 1507.01199cond-mat.quant-gas
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两体和三体相互作用下玻色-爱因斯坦凝聚体局域模的稳定性和相变

Stability and phase transition of localized modes in Bose-Einstein condensates with both two- and three-body interactions

Xiao-Dong Bai, Qing Ai, Mei Zhang, Jun Xiong, Guo-Jian Yang, Fu-Guo Deng

备注：
14 pages, 10 figures
发表信息：
Annals of Physics 360, 679--693 (2015)
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摘要：

在考虑两体和三体相互作用的情况下，采用离散非线性薛定谔模型研究了光晶格中玻色-爱因斯坦凝聚体（BEC）的局域模的稳定性和相变.我们发现，有三种类型的本地化模式，明亮的离散呼吸（DB），离散扭结（DK），和多呼吸（MUB）。此外，两体和三体在位排斥相互作用都能稳定DB，而三体在位吸引相互作用则使其不稳定，并且三体相互作用存在一个临界值，在该临界值下DK和MUB都成为最稳定的相互作用.我们解析地给出了局域态失稳的能量阈值，发现当系统总能量高于（低于）阈值时，局域态是不稳定的（稳定的）。DB和MUB的稳定性和动力学性质对于扩展格点系统具有普遍性。我们的结果是有用的阻塞，过滤和转移的规范在非线性晶格的BEC与两个和三体相互作用。

英文摘要：

We investigate the stability and phase transition of localized modes in Bose-Einstein Condensates (BECs) in an optical lattice with the discrete nonlinear Schrödinger model by considering both two- and three-body interactions. We find that there are three types of localized modes, bright discrete breather (DB), discrete kink (DK), and multi-breather (MUB). Moreover, both two- and three-body on-site repulsive interactions can stabilize DB, while on-site attractive three-body interactions destabilize it. There is a critical value for the three-body interaction with which both DK and MUB become the most stable ones. We give analytically the energy thresholds for the destabilization of localized states and find that they are unstable (stable) when the total energy of the system is higher (lower) than the thresholds. The stability and dynamics characters of DB and MUB are general for extended lattice systems. Our result is useful for the blocking, filtering, and transfer of the norm in nonlinear lattices for BECs with both two- and three-body interactions.

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