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arXiv 1302.4341cond-mat.mes-hallcond-mat.quant-gas
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具有合成规范场的准一维费米子原子的拓扑相位

Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field

Takeshi Mizushima, Masatoshi Sato

摘要:

本文从理论上研究了具有Rashba型自旋轨道相互作用的准一维费米气体拓扑超流相中的管间隧穿效应。结果表明,有效哈密顿量类似于具有多能带的纳米线拓扑超导体。使用隐藏的镜像对称系统中,我们引入了一个新的拓扑数,确保存在非阿贝尔马约拉纳零模式,即使在管间隧道。通过对自洽方程组的全数值计算,证明了当一维管在$y$方向上的数目为奇数时,某些Majorana模在管间隧穿中仍然存在.我们还讨论了我们的考虑,纳米线拓扑超导体的推广。

英文摘要:

We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin-orbit interaction. It is shown that the effective Hamiltonian is analogous to that of a nanowire topological superconductor with multibands. Using a hidden mirror symmetry in the system, we introduce a new topological number that ensures the existence of non-Abelian Majorana zero modes even in the presence of intertube tunneling. It is demonstrated from the full numerical calculation of self-consistent equations that some of Majorana modes survive against the intertube tunneling, when the number of one-dimensional tubes is odd in the $y$-direction. We also discuss a generalization of our consideration to nanowire topological superconductors.

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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