偶极超流体与超固体量子气体中的法拉第图案形成
Faraday pattern formation in dipolar superfluid and supersolid quantum gases
浏览论文内容
中文总结 AI 辅助
研究三维参数驱动的偶极超流体与超固体量子气体，通过扩展Gross-Pitaevskii方程揭示参数驱动决定长程相互作用量子流体的图案形成，发现从表面集体模式到混合表面-体激发的交叉规律。
中文摘要 AI 辅助
我们在扩展Gross-Pitaevskii方程框架下，研究三维参数驱动的囚禁偶极超流体量子气体中的法拉第不稳定性。在超流体区域，短程相互作用的周期性调制会诱导离散多边形表面模式的共振激发，呈现亚谐波响应；合适的Mathieu方程可准确捕捉共振频率和参数不稳定性窗口，进一步验证了我们的模拟结果。研究还表明，与非偶极超流体相比，偶极超流体中的偶极相互作用会将共振频率移至更低值。在超流体向超固体转变附近，与软化旋子模式相关的本征密度波动会加速图案形成，产生混合表面与体激发；在超固体区域深处，体图案占主导地位，由液滴与超流体背景碰撞产生。我们的结果揭示了从表面集体模式到混合表面-体激发的交叉，证明了参数驱动如何决定长程相互作用量子流体中的图案形成。
英文摘要
We investigate Faraday instabilities in three-dimensional parametrically driven trapped dipolar quantum gases within the framework of the extended Gross-Pitaevskii equation. In the superfluid regime, periodic modulation of the short-range interactions induces the resonant excitation of discrete polygonal surface modes displaying sub-harmonic response. The resonance frequencies and the parametric windows of instability are accurately captured by an appropriate Mathieu equation, further corroborating our simulations. It is also shown that dipolar interactions in superfluids shift the resonance frequencies to lower values compared to their non-dipolar counterparts. Near the superfluid-to-supersolid transition, intrinsic density undulations associated with the softened roton mode accelerate pattern formation, yielding hybrid surface and bulk excitations. The bulk patterns prevail deeper in the supersolid regime, emerging from droplet collisions with the superfluid background. Our results reveal a crossover from surface collective modes to hybrid surface-bulk excitations and demonstrate how parametric driving dictates pattern formation in long-range interacting quantum fluids.
