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Efimov Trimers under Strong Confinement

机译:严格限制下的Efimov Trimers

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The dimensionality of a system can fundamentally impact the behavior of interacting quantum particles. Classic examples range from the fractional quantum Hall effect to high-temperature superconductivity. As a general rule, one expects confinement to favor the binding of particles. However, attractively interacting bosons apparently defy this expectation: While three identical bosons in three dimensions can support an infinite tower of Efimov trimers, only two universal trimers exist in the two-dimensional case. Here, we reveal how these two limits are connected by investigating the problem of three identical bosons confined by a harmonic potential along one direction. We show that the confinement breaks the discrete Efimov scaling symmetry and successively destroys the weakest bound trimers. However, the deepest bound trimers persist even under strong confinement. In particular, the ground-state Efimov trimer hybridizes with the two-dimensional trimers, yielding a superposition of trimer configurations that effectively involves tunneling through a short-range repulsive barrier. Our results suggest a way to use strong confinement to engineer more stable Efimov-like trimers, which have so far proved elusive.
机译:系统的尺寸可以从根本上影响相互作用的量子粒子的行为。经典示例包括分数量子霍尔效应到高温超导性。通常,人们期望限制条件有利于颗粒的结合。但是,具有吸引力的相互作用的玻色子显然不能满足这种期望:尽管三个维度上的三个相同的玻色子可以支撑Efimov三聚体的无限塔,但在二维情况下仅存在两个通用三聚体。在这里,我们通过研究沿一个方向的谐波势限制的三个相同的玻色子的问题,揭示了这两个极限是如何连接的。我们表明,该限制破坏了离散的Efimov缩放对称性,并相继破坏了最弱的三聚体。但是,即使在严格的限制下,最深的三聚体仍然存在。特别是,基态Efimov三聚体与二维三聚体杂交,产生三聚体构型的叠加,这实际上涉及通过短程排斥屏障的隧穿。我们的结果提出了一种使用强约束技术来设计更稳定的类似Efimov的三聚体的方法,到目前为止,这种三聚体是难以捉摸的。

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