论文标题
通过$ q $ formed formed Lie代数的Bose Polaron \\的分析方法
Analytical approach to the Bose polaron \\ via $q$-deformed Lie algebra
论文作者
论文摘要
我们根据量子群的概念（也称为$ q $ formed的Lie代数）为Bose Polaron提供了一种新颖的方法。在这种方法中，可以将移动杂质描绘为玻色粒创造的谎言代数和浴室歼灭操作员的变形，在该代数中，杂质被浸入其中。因此，Bose Polaron可以描述为非互动$ Q $呈现的玻色子的浴，这使我们能够在任意耦合下提供Bose Polaron的分析公式。特别是，我们在Bogoliubov色散的声子分支中得出其基态能量，并证明先前观察到的从排斥性向有吸引力的极性子的过渡发生在量子组对称性的附近发生。此外，我们的方法有可能通过将量子组扮演着重要作用的看似无关的研究主题（例如Anyons）连接起来，从而打开北极星物理学的新途径。
We present a novel approach to the Bose polaron based on the notion of quantum groups, also known as $q$-deformed Lie algebras. In this approach, a mobile impurity can be depicted as a deformation of the Lie algebra of the bosonic creation and annihilation operators of the bath, in which the impurity is immersed. Accordingly, the Bose polaron can be described as a bath of noninteracting $q$-deformed bosons, which allows us to provide an analytical formulation of the Bose polaron at arbitrary couplings. Particularly, we derive its ground state energy in the phonon branch of the Bogoliubov dispersion and demonstrate that the previously observed transition from a repulsive to an attractive polaron occurs at the vicinity where the quantum group symmetry is broken. Furthermore, our approach has the potential to open up new avenues in polaron physics by connecting it with seemingly unrelated research topics where quantum groups play an essential role, such as anyons.
