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arXiv 0911.4965cond-mat.quant-gas
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费米子混合物中的偶极振荡

Dipole Oscillations in Fermionic Mixtures

Silvia Chiacchiera, Tommaso Macri, Andrea Trombettoni

摘要:

我们研究了一般费米子混合物中的偶极振荡:从Boltzmann方程出发,通过小振荡矩阵的实本征值个数对参数空间中的不同解进行了分类。我们将讨论如何使用Sturm算法计算这个数,以及它与实验量的Laplace变换的性质的关系。在考虑了简谐势中具有不同俘获频率的两个分量后,我们研究了三分量混合物中的偶极振荡。显式计算是现实的实验设置使用经典玻尔兹曼方程没有物种内的相互作用。本文还简要讨论了这种分类在一般集体振荡中的应用。

英文摘要:

We study dipole oscillations in a general fermionic mixture: starting from the Boltzmann equation, we classify the different solutions in the parameter space through the number of real eigenvalues of the small oscillations matrix. We discuss how this number can be computed using the Sturm algorithm and its relation with the properties of the Laplace transform of the experimental quantities. After considering two components in harmonic potentials having different trapping frequencies, we study dipole oscillations in three-component mixtures. Explicit computations are done for realistic experimental setups using the classical Boltzmann equation without intra-species interactions. A brief discussion of the application of this classification to general collective oscillations is also presented.

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