Emergent four-body parameter in universal two-species bosonic systems

Abstract

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.

arXiv comment15 pages, 13 figures

References in corpus (21)

• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Renormalization of the Three-Body System with Short-Range Interactions
• Efimov Physics: a review
• Effective Field Theory for Short-Range Forces
• Effective Theory of the Triton
• Observation of heteronuclear atomic Efimov resonances
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• The Four-Boson System with Short-Range Interactions
• Observation of Heteronuclear Feshbach Molecules from a ${}^{85}$Rb - ${}^{87}$Rb gas
• On the correlation between the binding energies of the triton and the alpha-particle
• Weakly Bound Cluster States of Efimov Character
• Universality and scaling limit of weakly-bound tetramers
• Production of optically trapped ${}^{87}$RbCs Feshbach molecules
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Four-Body Scale in Universal Few-Boson Systems
• Universal three-body physics in ultracold KRb mixtures
• Generalized Efimov scenario for heavy-light mixtures
• Efimov physics in heteronuclear four-body systems
• Feshbach resonances in ${}^{23}\mathrm{Na}+$${}^{39}\mathrm{K}$ mixtures and refined molecular potentials for the NaK molecule

Cited by in corpus (1)

• What Can Possibly Go Wrong?