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Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice 下载免费PDF全文
Hongjuan Meng 《中国物理 B》2021,30(12):126701-126701
We investigate the existence and dynamical stability of multipole gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice. Honeycomb lattices possess a unique band structure, the first and second bands intersect at a set of so-called Dirac points. Deformation can result in the merging and disappearance of the Dirac points, and support the gap solitons. We find that the two-dimensional honeycomb optical lattices admit multipole gap solitons. These multipoles can have their bright solitary structures being in-phase or out-of-phase. We also investigate the linear stabilities and nonlinear stabilities of these gap solitons. These results have applications of the localized structures in nonlinear optics, and may helpful for exploiting topological properties of a deformed lattice. 相似文献
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以非线性Rosen-Zener隧穿理论为基础, 用平均场近似的方法, 通过考虑高阶非线性项的影响, 研究了非线性两能级系统中费米超流气体的Rosen-Zener隧穿现象. 研究发现粒子间的非线性相互作用能够显著地影响量子隧穿. 分别在快扫描极限和绝热极限的条件下, 解释了Rosen-Zener隧穿现象, 并给出了矩形振荡周期与非线性参数之间的依赖关系. 这为更深入认识费米气体的基本属性提供了理论基础. 相似文献
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在平均场理论和两模近似下,通过观察布居数差随时间的演化, 以及布居数差的平均随非线性相互作用参数的变化, 研究了对称双势阱以及势阱间高频调制时Fermi超流气体在unitarity区域和Bose-Einstein凝聚区域的自俘获现象. 给出了出现自俘获现象的边界条件;发现高频调制在一定调制范围内使自俘获现象更容易实现. 最后研究了初值对自俘获的影响, 发现初值的绝对值|s(0)|的增加更有利于自俘获的实现. 相似文献
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在平均场理论和两模近似下,通过观察布居数差随时间的演化,以及布居数差的平均随非线性相互作用参数的变化,研究了对称双势阱以及势阱问高频调制时Fermi超流气体在unitarity区域和Bose-Einstein凝聚区域的自俘获现象.给出了出现自俘获现象的边界条件;发现高频调制在一定调制范围内使自俘获现象更容易实现.最后研究了初值对自俘获的影响,发现初值的绝对值︳s(O)︳的增加更有利于自俘获的实现. 相似文献
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The tunneling dynamics of superfluid Fermi gas in a triple-well potential in the unitarity regime is investigated in the present paper. The fixed points of the (0, 0) mode and the (∏, ∏) mode are given. We find that the interaction parameter U and the coupling strength k could have an extreme effect on the quantum tunneling dynamics. We also find that, in the zero mode, only Josophson oscillation appears. However, for the ∏ mode, the trapping phenomena take place. An irregular oscillation of the particle number in each well could appear by adjusting the scanning period T* . It is noted that if the scanning period is less than a critical point T , the particle number will come back to the fixed point with small oscillation, while if T T* the particle number cannot come back to the fixed point, but with irregular oscillations. The dependence of the critical point T* on the system parameter of coupling strength k is numerically given. 相似文献
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