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arXiv 2409.07076cond-mat.quant-gas
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螺旋自旋轨道耦合玻色-爱因斯坦凝聚体在光学晶格中的约瑟夫森效应与自俘获

Josephson effect and self-trapping in helicoidal spin-orbit coupled Bose-Einstein condensates with optical lattices

Sumaita Sultana, Golam Ali Sekh

AI总结:

本文研究螺旋自旋轨道耦合玻色-爱因斯坦凝聚体在光学晶格中的约瑟夫森振荡与自俘获,发现振荡频率随螺旋规范势增大而减小、随非线性晶格增大而增大,并可通过调节参数增强自俘获。

摘要:

我们考虑在光学晶格中的螺旋自旋轨道耦合玻色-爱因斯坦凝聚体中的物质波亮孤子,旨在研究两个赝自旋态之间粒子数不平衡的约瑟夫森型振荡与自俘获。对于固定的非线性相互作用和晶格参数,粒子数不平衡执行约瑟夫森型振荡,且振荡频率随螺旋规范势的增大而减小。然而,在非线性光学晶格存在时,振荡频率增大。我们发现,对于系统的适当参数选择,粒子数不平衡可以围绕非零值振荡并导致自俘获。自俘获可以通过增大螺旋规范势和适当调节晶格参数来增强。

英文摘要:

We consider matter-wave bright solitons in helicoidal spin-orbit coupled Bose-Einstein condensates in optical lattices with a view to study Josephson-type oscillation and self-trapping of population imbalance between two pseudo-spin states. For fixed values of nonlinear interaction and lattice parameters, the population imbalance executes Josephson-type oscillation and the frequency of oscillation decreases with the increase of helicoidal gauge potential. The frequency of oscillation, however, increases in presence of nonlinear optical lattices. We find that the population imbalance can oscillate about a non-zero value and result self-trapping for proper choices of parameters of the system. The self-trapping can be enhanced by the increase of helicoidal gauge potential and by properly tuning the lattice parameters.

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