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arXiv 1012.6029cond-mat.quant-gas
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一维晶格中偶极玻色气体的涌现结构

Emergent structure in a dipolar Bose gas in a one-dimensional lattice

Ryan M. Wilson, John L. Bohn

摘要:

我们考虑一维晶格中的超冷偶极玻色气体。对于足够大的晶格反冲能,这样的系统变成一系列通过长程偶极-偶极相互作用(ddi)相互作用的非重叠的玻色-爱因斯坦凝聚体。我们通过一组耦合的非本地Gross-Pitaevskii方程(GPEs)的无限和有限程度的晶格模型这个系统。我们发现显着修改的稳定性在晶格中,由于软化的离散roton样的模式,以及“岛屿”的参数空间中的双凹密度预测存在,只存在于晶格上的其他冷凝物的存在下。我们解决的基本激发系统检查这些解决方案的动力学稳定性,并揭示其崩溃的性质。通过精确地在全数值网格上求解一组耦合的GPE,我们证明了这种涌现的双凹结构可以在含有原子$^{52}$ Cr的有限晶格中实现。

英文摘要:

We consider an ultracold dipolar Bose gas in a one-dimensional lattice. For a sufficiently large lattice recoil energy, such a system becomes a series of non-overlapping Bose-Einstein condensates that interact via the long-range dipole-dipole interaction (ddi). We model this system via a coupled set of non-local Gross-Pitaevskii equations (GPEs) for lattices of both infinite and finite extent. We find significantly modified stability properties in the lattice due to the softening of a discrete roton-like mode, as well as "islands" in parameter space where biconcave densities are predicted to exist that only exist in the presence of the other condensates on the lattice. We solve for the elementary excitations of the system to check the dynamical stability of these solutions and to uncover the nature of their collapse. By solving a coupled set of GPEs exactly on a full numeric grid, we show that this emergent biconcave structure can be realized in a finite lattice with atomic $^{52}$Cr.

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