论文标题
在稀的玻色冷凝物中强烈相互作用的杂质
Strongly interacting impurities in a dilute Bose condensate
论文作者
论文摘要
bose气体中的杂质通常称为玻色极性。对于稀释的bose气体，其特性预计将是通用的，这仅取决于表征玻色子 - 不相互作用的一些参数。当玻色爆，相互作用较弱时，一段时间以来就知道极化子的性质仅取决于这些相互作用的散射长度。在本文中，伴随并扩展了参考文献。 [物理。莱特牧师。 126，123403（2021）]（其中一些结果已经报道），我们检查了更强的玻色子 - 势力相互作用，并保持其范围有限。我们证明，对于杂质与玻色之间的有吸引力的相互作用，并包括这些相互作用的统一点，可以根据散射长度和额外的参数来计算bose polaron的所有静态特性，这些特性可以计算出散射长度和额外的参数，这些参数表征了杂质 - 孔子相互作用的范围。我们表明，如果此参数不偏离玻璃体内相互作用的散射长度，则我们对此问题的方法是有效的，而文本中给出了精确的标准。当将杂质 - 玻色子散射长度调整为单位性时，我们为极化物的能量和其他特性产生明确的表达式，并且我们还提供了第一个校正。
An impurity in a Bose gas is commonly referred to as Bose polaron. For a dilute Bose gas its properties are expected to be universal, that is dependent only on a few parameters characterizing the boson-impurity interactions. When boson-impurity interactions are weak, it has been known for some time that the properties of the polaron depend only on the scattering length of these interactions. In this paper which accompanies and extends Ref. [Phys. Rev. Lett. 126, 123403 (2021)] (where some of these results have already been reported) we examine stronger boson-impurity interactions, keeping their range finite. We demonstrate that for attractive interactions between impurity and the bosons up to and including the unitary point of these interactions, all static properties of a Bose polaron in a dilute Bose gas can be calculated in terms of the scattering length and an additional parameter which characterizes the range of the impurity-boson interactions. We show that our approach to this problem is valid if this parameter does not deviate too much from the scattering length of intra-boson interactions, with the precise criterion given in the text. We produce explicit expressions for the energy and other properties of polaron for the case when the impurity-boson scattering length is tuned to unitarity, and we also provide the first correction away from it.
