Confinement-induced unatomic trimer states in mass-imbalanced systems

• URL: http://arxiv.org/abs/2503.01511v1
• Date: Mon, 03 Mar 2025 13:24:53 GMT
• Title: Confinement-induced unatomic trimer states in mass-imbalanced systems
• Authors: Rafael M. Francisco, D. S. Rosa, T. Frederico, M. T. Yamashita, G. Krein,
• Abstract summary: We studied compounds of the forms $7$Li$-23$Na$_2$, $7$Li$-87$Rb$_2$ and $7$Li$-133$Cs$_2$.<n>The sharp increase of the contacts serves as a signature of the transition between the Efimov and unatomic regimes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 of 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 of the forms $^{7}$Li$-^{23}$Na$_{2}$, $^{7}$Li$-^{87}$Rb$_{2}$ and $^{7}$Li$-^{133}$Cs$_{2}$. The increase in the mass-imbalance of the trimers 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.

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