Year: 2025
Type: article
Abstract: As resonantly interacting trimers of the type AAB are progressively squeezed from $D=3$ to $D=2$, unatomic states emerge. We calculated the contacts from the high-momentum tail of the single-particle densities. The sharp increase in the contacts serves as a signature of the transition between the Efimov and unatomic regimes, characterized by the emergence of continuous scale invariance when the system reaches a critical dimension ${D}_{c}$. This continuous scale invariance starts to dominate the behavior of the system at the dimension $\overline{D}<{D}_{c}$, below which the trimers' momentum-distribution tails exhibit a power-law behavior signaling the unatomic regime. To illustrate our findings, we studied compounds with the forms $^{7}\mathrm{Li}\text{\ensuremath{-}}^{23}\mathrm{Na}_{2}$, $^{7}\mathrm{Li}\text{\ensuremath{-}}^{87}\mathrm{Rb}_{2}$, and $^{7}\mathrm{Li}\text{\ensuremath{-}}^{133}\mathrm{Cs}_{2}$. The increase in the trimers' mass imbalance reduces the interval between ${D}_{c}$ and $\overline{D}$. The emergence of unatomic states can be experimentally verified by observing the two-body contact parameter, which is a quantity directly related to the thermodynamic properties of the gas.
Source: Physical Review A
DOI: 10.1103/h9d1-bvs4
Authors: R. M. Francisco, D. S. Rosa, T. Frederico, G. Krein, M. T. Yamashita
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1999052429, G2594745027, Multidisciplinary data analysis in Big-data: from High Energy Physics to Astrophysics and Medical Sciences, Emergent few-body dynamics in exotic nuclei and other applications, G3588731312, G4464057402, G5119497144, G6238760100, G666724364, São Paulo Research and Analysis Center
OpenAlex ID: W7081981610