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arXiv 1301.2159cond-mat.quant-gasmath-phmath.MPquant-ph
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一维系统中偶极玻色子的束缚态

Bound states of Dipolar Bosons in One-dimensional Systems

A. G. Volosniev, J. R. Armstrong, D. V. Fedorov, A. S. Jensen, M. Valiente, N. T. Zinner

摘要:

我们考虑含有玻色子极性分子的一维管。长程偶极-偶极相互作用在单个管内和不同管之间都起作用。我们考虑任意值的外部对齐的偶极矩相对于对称轴的管。在这种几何形状的少体结构被确定为极化角和偶极子强度的函数,通过使用本质上精确的随机变分方法和谐波近似。主要的焦点是在两个或多个管中的三体、四体和五体问题。我们的结果表明,在弱耦合的限制,管间相互作用类似于一个零程项具有适当的重新标度的强度。这使我们能够通过构建一个模型来解决系统的相应多体物理问题,在这个模型中,每个管中有一个分子的束缚链是有效的自由度。这个模型可以被映射到一维的哈密顿算子,其精确解是已知的。

英文摘要:

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments with respect to the symmetry axis of the tubes. The few-body structures in this geometry are determined as function of polarization angles and dipole strength by using both essentially exact stochastic variational methods and the harmonic approximation. The main focus is on the three, four, and five-body problems in two or more tubes. Our results indicate that in the weakly-coupled limit the inter-tube interaction is similar to a zero-range term with a suitable rescaled strength. This allows us to address the corresponding many-body physics of the system by constructing a model where bound chains with one molecule in each tube are the effective degrees of freedom. This model can be mapped onto one-dimensional Hamiltonians for which exact solutions are known.

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