Emergent four-body parameter in universal two-species bosonic systems
| Autor: | Manuel Pavon Valderrama, Lorenzo Contessi, Johannes Kirscher |
|---|---|
| Přispěvatelé: | Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay |
| Rok vydání: | 2021 |
| Předmět: |
Nuclear Theory
[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th] Binding energy Few-boson systems FOS: Physical sciences General Physics and Astronomy Trimer Unitarity Zero-range interactions 01 natural sciences 010305 fluids & plasmas Nuclear Theory (nucl-th) Tetramer Simple (abstract algebra) 0103 physical sciences Physics - Atomic and Molecular Clusters 010306 general physics Link (knot theory) Nuclear theory Boson Mathematical physics Physics Quantum Physics [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Efimov effect Quantum Gases (cond-mat.quant-gas) Condensed Matter - Quantum Gases Atomic and Molecular Clusters (physics.atm-clus) Quantum Physics (quant-ph) |
| Zdroj: | Phys.Lett.A Phys.Lett.A, 2021, 408, pp.127479. ⟨10.1016/j.physleta.2021.127479⟩ |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/j.physleta.2021.127479 |
| Popis: | The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy -- is required to predict the binding energies of clusters with an arbitrary number of bosons. Whether this correlation between the three- and many-boson systems still holds for two species of bosons for which only the inter-species interaction is resonant depends on how many particles of each species are in the system. For few-body clusters with species $A$ and $B$ and a resonant $AB$ interaction, it is known that the emergent $AAB$ and $ABB$ three-body scales are correlated to the ground-state binding energies of the $AAAB$ and $ABBB$ systems, respectively. We find that this link between three and four bodies is broken for the $AABB$ tetramer whose binding energy is neither constrained by the $AAB$ nor by the $ABB$ trimer. From this de-correlation, we predict the existence of a scale unique to the $AABB$ tetramer. In our explanation of this phenomenon, we understand the $AABB$ and $AAAB$/$ABBB$ tetramers as representatives of two different universal classes of $N$-body systems with distinct renormalization-group and discrete-scaling properties. Comment: 15 pages, 13 figures |
| Databáze: | OpenAIRE |
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