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Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate

机译:Bose-Einstein冷凝物中Quasipallics之间的Landau有效相互作用

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Landau’s description of the excitations in a macroscopic system in terms of quasiparticles stands out as one of the highlights in quantum physics. It provides an accurate description of otherwise prohibitively complex many-body systems and has led to the development of several key technologies. In this paper, we investigate theoretically the Landau effective interaction between quasiparticles, so-called Bose polarons, formed by impurity particles immersed in a Bose-Einstein condensate (BEC). In the limit of weak interactions between the impurities and the BEC, we derive rigorous results for the effective interaction. They show that it can be strong even for a weak impurity-boson interaction, if the transferred momentum-energy between the quasiparticles is resonant with a sound mode in the BEC. We then develop a diagrammatic scheme to calculate the effective interaction for arbitrary coupling strengths, which recovers the correct weak-coupling results. Using this scheme, we show that the Landau effective interaction, in general, is significantly stronger than that between quasiparticles in a Fermi gas, mainly because a BEC is more compressible than a Fermi gas. The interaction is particularly large near the unitarity limit of the impurity-boson scattering or when the quasiparticle momentum is close to the threshold for momentum relaxation in the BEC. Finally, we show how the Landau effective interaction leads to a sizable shift of the quasiparticle energy with an increasing impurity concentration, which should be detectable with present-day experimental techniques.
机译:Landau在QuasiParticly中对宏观系统中激发的描述突出了量子物理学中的一个亮点之一。它提供了对否则提供的许多身体系统的准确描述,并导致了几种关键技术的开发。在本文中,我们研究了通过浸入Bose-Einstein凝结物(BEC)的杂质颗粒形成的Quasipallics,所谓的母脂蛋白之间的LANDAU的有效相互作用。在杂质与BEC之间的弱相互作用的极限中,我们得到了有效互动的严格成果。他们表明它即使对于弱杂质 - 玻色子相互作用,如果Quasiply之间的转移的动量能量是在BEC中的声音模式的谐振的情况下,也可以是强的。然后,我们开发一种方法来计算任意耦合强度的有效相互作用,其恢复了正确的弱耦合结果。使用该方案,我们表明Landau有效的相互作用,通常比Fermi气体中的Quasiply之间的相互作用显着强烈,主要是因为BEC比费米气体更可压。接近杂质 - 玻色子散射的统一限制或Quasiplicle动量接近BEC中动量松弛的阈值时,相互作用接近。最后,我们展示了Landau有效的相互作用如何导致Quasiparticle能量的大幅偏移,其杂质浓度增加,这应该可检测到当前的实验技术。

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