2017/04/16 by Pengfei Zhang, Zhenhua Yu
Mathematics · Physics and Astronomy · #Atom (system on chip) #Atomic physics #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Dimension (graph theory) #Few-body systems #Geometry #Mathematical physics #Mathematics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Scaling #Space (punctuation) #Strong Light-Matter Interactions #Wave function #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.96.030702
published as Phys. Rev. A 96, 030702 (2017) · 5 pages, 2 figures, 2 tables
arxiv created 2017/04/16 · openalex publication_date 2017/09/21 · arxiv updated 2017/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Efimov effect was first predicted for three particles interacting at an s-wave resonance in three dimensions. A subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed dimensions. In this work, we consider the three-body problem of two bosonic A atoms interacting with another single B atom in mixed dimensions: The A atoms are confined in a space of dimension dA and the B atom in a space of dimension dB, and there is an interspecies s-wave interaction in a dint-codimensional space accessible to both species. We find that when the s-wave interaction is tuned on resonance, there emerge an infinite series of universal three-body bound states for dA,dB,dint=2,2,0 and 2,3,1. Going beyond the Efimov paradigm, the binding energies of these states follow the scaling ln|En|\ensuremath∼\ensuremath-s(n\ensuremathπ\ensuremath-\ensuremathθ)2/4, with the scaling factor s being unity for the former case and √mB(2mA+mB)/(mA+mB) for the latter. We discuss the possibility of realizing our mixed-dimensional systems in a cold-atom experiment and how the effects of these universal three-body bound states may be detected.