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arXiv 1806.01784cond-mat.quant-gasquant-ph
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玻色气体中超平均场修正的维数交叉

Dimensional crossover for the beyond-mean-field correction in Bose gases

Tobias Ilg, Jan Kumlin, Luis Santos, Dmitry S. Petrov, Hans Peter Büchler

摘要:

我们提出了一个详细的超越平均场分析的弱相互作用玻色气体的交叉从三维到低维。我们找到了一个能量的解析解,并提供了一个清晰的定性图片的交叉的情况下,箱势与周期性边界条件。我们表明,约束诱导共振的主导贡献是超越平均场的顺序,并计算在三维和低维限制的主导修正。我们还描述了在一个模型系统中,特别是选择的短期和长期的相互作用,并显示局部密度近似的局限性的谐波电位的交叉。我们的分析是适用于玻色-玻色混合物,并给出了一个起点,为发展超平均场论在非均匀系统的长程相互作用,如偶极粒子或里德伯打扮的原子。

英文摘要:

We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and provide a clear qualitative picture of the crossover in the case of a box potential with periodic boundary conditions. We show that the leading contribution of the confinement-induced resonance is of beyond-mean-field order and calculate the leading corrections in the three- and low-dimensional limits. We also characterize the crossover for harmonic potentials in a model system with particularly chosen short- and long-range interactions and show the limitations of the local-density approximation. Our analysis is applicable to Bose-Bose mixtures and gives a starting point for developing the beyond-mean-field theory in inhomogeneous systems with long-range interactions such as dipolar particles or Rydberg-dressed atoms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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