长程偶极相互作用耦合的双层和多层非重叠凝聚体的中心运动
Center motions of nonoverlapping condensates coupled by long-range dipolar interaction in bilayer and multilayer stacks
摘要：
研究了各向异性和长程偶极-偶极相互作用（DDI）对双层和多层非重叠玻色-爱因斯坦凝聚体（BEC）中心运动的影响.在双层中，分析表明，虽然DDI起不了作用的凝聚体的中心运动的同相模式，异相模式频率（$ω_o$）取决于关键的DDI（$a_d$）的强度。在小- $a_d$极限下，$ω_o^2(a_d)-ω_o^2(0)\propto a_d$。在多层叠层中，与耦合凝聚体的中心运动相关的横模被发现是光学声子。在长波长极限，声子速度与$\sqrt a_d$成正比。
英文摘要：
We investigate the effect of anisotropic and long-range dipole-dipole interaction (DDI) on the center motions of nonoverlapping Bose-Einstein condensates (BEC) in bilayer and multilayer stacks. In the bilayer, it is shown analytically that while DDI plays no role in the in-phase modes of center motions of condensates, out-of-phase mode frequency ($ω_o$) depends crucially on the strength of DDI ($a_d$). At the small-$a_d$ limit, $ω_o^2(a_d)-ω_o^2(0)\propto a_d$. In the multilayer stack, transverse modes associated with center motions of coupled condensates are found to be optical phonon like. At the long-wavelength limit, phonon velocity is proportional to $\sqrt a_d$.
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