碰撞非均匀自旋轨道耦合凝聚体中局域-离域的特征
Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
AI总结：
本文研究一维准周期势中自旋轨道耦合双组分BECs的局域转变，发现通过调节碰撞非均匀相互作用强度即可实现局域-离域转变，无需改变准周期势强度，并用数值模拟、高斯变分解析模型和淬火动力学加以验证。
摘要：
我们研究了一维准周期势中具有碰撞非均匀相互作用的、自旋轨道（SO）耦合的双组分玻色-爱因斯坦凝聚体（BECs）的局域转变。我们的数值分析表明，当相互作用强度从吸引性调节到排斥性时，准周期无序与非均匀相互作用之间的竞争会导致局域-离域转变。此外，我们分析了不同相互作用强度下SO耦合强度和Rabi耦合强度对局域转变的联合影响，并在弱相互作用区域获得了作为SO耦合函数的类似局域-离域转变的特征。我们利用高斯变分方法建立了解析模型，以补充数值观测结果。最后，我们展示了局域-离域如何在凝聚体的淬火动力学中表现出来。我们的研究提供了一种间接实现局域转变的方法，即无需调节准周期势强度，而是通过调节相互作用中的非均匀性来实现。
英文摘要：
We study the localization transition in spin-orbit (SO) coupled binary Bose-Einstein condensates (BECs) with collisional inhomogeneous interaction trapped in a one-dimensional quasiperiodic potential. Our numerical analysis shows that the competition between the quasiperiodic disorder and inhomogeneous interaction leads to a localization-delocalization transition as the interaction strength is tuned from attractive to repulsive in nature. Furthermore, we analyse the combined effect of the SO and Rabi coupling strengths on the localization transition for different interaction strengths and obtain signatures of similar localization-delocalization transition as a function of SO coupling in the regime of weak interactions. We complement our numerical observation with the analytical model using the Gaussian variational approach. In the end, we show how the localization-delocalization is manifested in the quench dynamics of the condensate. Our study provides an indirect approach to achieve localization transition without tuning the quasiperiodic potential strength, but rather by tuning the inhomogeneity in the interaction.
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