Confinement-induced unatomic trimer states in mass-imbalanced systems
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909522356862976 |
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| author | Francisco, Rafael M. Rosa, D. S. Frederico, T. Yamashita, M. T. Krein, G. |
| author_facet | Francisco, Rafael M. Rosa, D. S. Frederico, T. Yamashita, M. T. Krein, G. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_01511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Confinement-induced unatomic trimer states in mass-imbalanced systems Francisco, Rafael M. Rosa, D. S. Frederico, T. Yamashita, M. T. Krein, G. Quantum Gases Quantum Physics 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. |
| title | Confinement-induced unatomic trimer states in mass-imbalanced systems |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2503.01511 |