论文标题
Bose-Einstein冷凝物中的紧凑型和自旋轨道密度依赖性
Compacton existence and spin-orbit density dependence in Bose-Einstein condensates
论文作者
论文摘要
我们证明了紧凑型波在二元混合物（BEC）中存在物质波浪中的存在，这些混合物（BEC）被困在深层光学晶格（OL）中，在周期内散射长度的周期性时间调节下，受到了体种内部和Dresselhaus Spin-Orbit耦合（SOC）的同等贡献。我们表明，这些调制导致重新缩放SOC参数，涉及两个组件的密度不平衡。这引起了密度依赖性的SOC参数强烈影响紧凑型波浪的存在和稳定性。通过线性稳定性分析和耦合的Gross-Pitaevskii方程的时间整合，研究了SOC连接子的稳定性。我们发现Soc限制了稳定的固定Soc-Compacton存在的参数范围，但另一方面，它给出了其发生的更严格的签名。特别是，当两种组分中的物种相互作用和原子数量完全平衡时（或在可稳态的情况下保持平衡）时，应出现SOC-连接子。还建议将使用SOC - 连接剂作为间接测量原子数量和/或种类内相互作用的工具。
We demonstrate the existence of compactons matter waves in binary mixtures of Bose-Einstein condensates (BEC) trapped in deep optical lattices (OL) subjected to equal contributions of intra-species Rashba and Dresselhaus spin-orbit coupling (SOC) under periodic time modulations of the intra-species scattering length. We show that these modulations lead to the rescaling of the SOC parameters that involve the density imbalance of the two components. This gives rise to a density-dependent SOC parameters strongly influence the existence and stability of compacton matter waves. The stability of SOC-compactons is investigated both by linear stability analysis and by time integrations of the coupled Gross-Pitaevskii equations. We find that SOC restricts the parameter ranges for stable stationary SOC-compacton existence but, on the other side, it gives a more stringent signature of their occurrence. In particular, SOC-compactons should appear when the intra-species interactions and the number of atoms in the two components are perfectly balanced (or close to being balanced for metastable cases). The possibility to use SOC-compactons as a tool for indirect measurements of the number of atoms and/or the intra-species interactions, is also suggested.
