arXiv 1708.043752017-08quant-phcond-mat.quant-gasnlin.PSphysics.atom-ph

保守系统中的嵌合体模式和介导非局域跳跃的超冷原子

Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hopping

Hon Wai Lau, Jörn Davidsen, Christoph Simon

备注：: 8 figures with supplementary

摘要：

实验实现的嵌合体模式，其特征在于共存的地区的相位相干性和不相干性，迄今为止，只有实现了非保守系统的耗散。此外，嵌合体模式的理论研究也被限制在非保守的情况下，或简化的模型，描述的动态仅在一个标量相场。在这里，我们首次明确表明，嵌合体模式的形成也可以观察到在保守的哈密顿系统与非局部跳跃，其中能量和粒子数是保守的，并且即使在弱耦合制度的本地相位和振幅是不可分离的。有效的非局域性可以实现在一个物理系统中只有本地耦合，如果存在不同的时间尺度，我们说明了一个最小的保守模型与一个额外的调解渠道。最后，我们表明，嵌合体模式应在超冷原子系统中观察到：非局域空间跳跃高达数十个晶格网站独立可调的跳跃强度和现场的非线性可以实现在一个两个组件的玻色-爱因斯坦凝聚体与自旋相关的光晶格，其中未捕获的组件作为物质波介导场。

英文摘要：

Experimental realizations of chimera patterns, characterized by coexisting regions of phase coherence and incoherence, have so far only been achieved for non-conservative systems with dissipation. Moreover, theoretical studies of chimera patterns have also been limited either to the non-conservative case or to simplified models that describe the dynamics only in terms of a scalar phase field. Here, we show for the first time explicitly that the formation of chimera patterns can also be observed in conservative Hamiltonian systems with nonlocal hopping in which both energy and particle number are conserved, and where the local phase and amplitude are non-separable even in the weak coupling regime. Effective nonlocality can be realized in a physical system with only local coupling if different time scales exist, which we illustrate by a minimal conservative model with an additional mediating channel. Finally, we show that chimera patterns should be observable in ultracold atomic systems: Nonlocal spatial hopping over up to tens of lattice sites with independently tunable hopping strength and on-site nonlinearity can be implemented in a two-component Bose-Einstein condensate with a spin-dependent optical lattice, where the untrapped component serves as the matter-wave mediating field.

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摘要：

英文摘要：

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