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arXiv 1303.3544cond-mat.mes-hallcond-mat.quant-gascond-mat.supr-con
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弱耦合Richardson模型间的相对相位和Josephson动力学

Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models

F. Buccheri, A. Trombettoni

摘要:

我们考虑两个弱耦合的Richardson模型来研究两个介观吸引相互作用的费米子系统之间的相对相的形成和Josephson动力学:我们的结果适用于耦合超小金属颗粒的超导性质和有限数量的费米子的中性系统中的库珀配对超流性。我们讨论了如何在两个系统之间出现一个确定的相对相位,以及如何从多体波函数中方便地提取它:我们发现,即使对非常小的数量~10,也会出现一个确定的相对相位差。约瑟夫森动力学和电流相位特性的研究,表明临界电流有一个最大值在BCS-BEC交叉。对于所考虑的初始条件的两状态模型给出了一个很好的描述的动态和电流相位特性。

英文摘要:

We consider two weakly coupled Richardson models to study the formation of a relative phase and the Josephson dynamics between two mesoscopic attractively interacting fermionic systems: our results apply to superconducting properties of coupled ultrasmall metallic grains and to Cooper-pairing superfluidity in neutral systems with a finite number of fermions. We discuss how a definite relative phase between the two systems emerges and how it can be conveniently extracted from the many-body wavefunction: we find that a definite relative phase difference emerges even for very small numbers of pairs ~10. The Josephson dynamics and the current-phase characteristics are then investigated, showing that the critical current has a maximum at the BCS-BEC crossover. For the considered initial conditions a two-state model gives a good description of the dynamics and of the current-phase characteristics.

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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