Tetramer Bound States in Heteronuclear Systems

Abstract

We calculate the universal spectrum of trimer and tetramer states in heteronuclear mixtures of ultracold atoms with different masses in the vicinity of the heavy-light dimer threshold. To extract the energies, we solve the three- and four-body problem for simple two- and three-body potentials tuned to the universal region using the Gaussian expansion method. We focus on the case of one light particle of mass $m$ and two or three heavy bosons of mass $M$ with resonant heavy-light interactions. We find that trimer and tetramer cross into the heavy-light dimer threshold at almost the same point and that as the mass ratio $M/m$ decreases, the distance between the thresholds for trimer and tetramer states becomes smaller. We also comment on the possibility of observing exotic three-body states consisting of a dimer and two atoms in this region and compare with previous work.

19 pages, 6 figures, final version, added some remarks and one reference and fixed notation

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Cited by in corpus (8)

• Universality of an impurity in a Bose-Einstein condensate
• Efimov effect in $D$ spatial dimensions in $AAB$ systems
• Universal physics of bound states of a few charged particles
• Few-body states of bosons interacting with a heavy quantum impurity
• Tetramers of two heavy and two light bosons
• Window for Efimov physics for few-body systems with finite-range interactions
• Efimov universality with Coulomb interaction
• Few-boson system with a single impurity: Universal bound states tied to Efimov trimers