Semisuper Efimov effect of two-dimensional bosons at a three-body resonance

Abstract

Wave-particle duality in quantum mechanics allows for a halo bound state whose spatial extension far exceeds a range of the interaction potential. What is even more striking is that such quantum halos can be arbitrarily large on special occasions. The two examples known so far are the Efimov effect and the super Efimov effect, which predict that spatial extensions of higher excited states grow exponentially and double exponentially, respectively. Here, we establish yet another new class of arbitrarily large quantum halos formed by spinless bosons with short-range interactions in two dimensions. When the two-body interaction is absent but the three-body interaction is resonant, four bosons exhibit an infinite tower of bound states whose spatial extensions scale as $R_n\sim e^{(\pi n{)}^2/27}$ for a large $n$. The emergent scaling law is universal and is termed a semisuper Efimov effect, which together with the Efimov and super Efimov effects constitutes a trio of few-body universality classes allowing for arbitrarily large quantum halos.

5 pages; published version

References in corpus (9)

• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Epsilon expansion for a Fermi gas at infinite scattering length
• Universal Fermi gases in mixed dimensions
• Fermi gas near unitarity around four and two spatial dimensions
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Elastic Multi-Body Interactions on a Lattice
• Super Efimov effect for mass-imbalanced systems
• Renormalization group analysis of resonantly interacting anyons
• Quasi-Coulomb series in a two-dimensional three-body system

Cited by in corpus (17)

• Universal few-body physics and cluster formation
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Three-body forces and Efimov physics in nuclei and atoms
• Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• The absence of the Efimov effect in systems of one- and two-dimensional particles
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Dimensional effects in Efimov physics
• Efimov-like physics in fraction-dimensional Bose systems with three-body interaction
• On the virtual level of two-body interactions and applications to three-body systems in higher dimensions
• Efimov Effect in Long-range Quantum Spin Chains
• Universal Bound States in Long-range Spin Chains with an Impurity
• Semisuper Efimov effect induced by resonant pair exchange in mixed dimensions
• Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of $N\ge 4$ particles