Two-heavy impurities immersed in squeezed light-boson systems

TL;DR

This paper studies the spectral properties of two heavy bosonic impurities in a light-boson system under squeezed traps, revealing Efimov-like scaling laws and analyzing finite binding energies with experimental relevance.

Contribution

It introduces a detailed analysis of two-heavy impurities in light-boson systems using the Born-Oppenheimer approximation, highlighting Efimov scaling and finite energy spectra in variable dimensions.

Findings

Efimov-type geometrical scaling law for binding energies

Discrete scaling parameter relates bound states based on system parameters

Finite heavy-light binding energies and wave-functions computed

Abstract

We investigate the spectrum and structure of two-heavy bosonic impurities immersed in a light-boson system in D dimensions by means of the Born-Oppenheimer approximation. The fractional dimension dependence are associated with squeezed traps. The binding energies follows an Efimov type geometrical scaling law when the heavy-light system has a s-wave resonant interaction and the effective dimension or trap deformation is within a given range. The discrete scaling parameter $s$ relates two consecutive many-body bound states depending on mass asymmetry, number of light-bosons and effective dimension D. Furthermore, the spectrum and wave-function for finite heavy-light binding energies are computed. To exemplify our results, we consider mixtures of two-heavy caesium atoms interacting with up to two-lithium ones, which are systems of current experimental interest.