2014/07/31 by Sergej Moroz, Yusuke Nishida · 1 citation
Physics and Astronomy · #Angular momentum #Boson #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Exponential function #Fermion #Identical particles #Isotropy #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Renormalization group #Resonance (particle physics) #Scaling #Total angular momentum quantum number #Wave function #cond-mat.quant-gas #nucl-th
paper · pdf · doi:10.1103/physreva.90.063631
published as Phys. Rev. A 90, 063631 (2014) · 9 pages; published version
openalex publication_date 2014/12/22 · arxiv created 2014/12/24 · arxiv updated 2014/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a properly constructed low-energy effective field theory with the renormalization group method. Consequently, a three-body system consisting of two particles of one species and one of the other is shown to exhibit the super Efimov effect, the emergence of an infinite tower of three-body bound states with orbital angular momentum \ensuremathℓ=\ifmmode±\else\textpm\fi1 whose binding energies obey a doubly exponential scaling, when the two particles are heavier than the other by a mass ratio greater than 4.034 04 for identical bosons and 2.414 21 for identical fermions. With increasing the mass ratio, the super Efimov spectrum becomes denser which would make its experimental observation easier. We also point out that the Born-Oppenheimer approximation is incapable of reproducing the super Efimov effect, the universal low-energy asymptotic scaling of the spectrum.