arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1004.4470cond-mat.str-elcond-mat.otherquant-ph
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量子超晶格上的阻挫碰撞和非常规配对

Frustrated collisions and unconventional pairing on a quantum superlattice

Manuel Valiente, Matthias Kuster, Alejandro Saenz

摘要:

本文用解析方法解决了周期为两倍晶格间距的一维超晶格上两个自旋为1/2的费米子的散射和束缚问题。我们找到了精确的束缚态和散射态,由一个广义的Bethe anterior增强与额外的散射产品由于“渐近”简并。如果布洛赫带被双重占据,那么额外的波可以是对应于单粒子带间跃迁的连续谱中的束缚态。在所有其他情况下,它对应于一个准动量变化,受挫碰撞。

英文摘要:

We solve the problem of scattering and binding of two spin-1/2 fermions on a one-dimensional superlattice with a period of twice the lattice spacing analytically. We find the exact bound states and the scattering states, consisting of a generalized Bethe ansatz augmented with an extra scattering product due to "asymptotic" degeneracy. If a Bloch band is doubly occupied, the extra wave can be a bound state in the continuum corresponding to a single-particle interband transition. In all other cases, it corresponds to a quasi-momentum changing, frustrated collision.

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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