Universality and scaling limit of weakly-bound tetramers

Abstract

The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction applied to four identical bosons. The tetramer energy spectrum is obtained when adding a boson to an Efimov bound state with energy $B_3$ in the unitary limit (for zero two-body binding, or infinite two-body scattering length). Each excited $N-$th tetramer energy $B_4^{(N)}$ is shown to slide along a scaling function as a short-range four-body scale is changed, emerging from the 3+1 threshold for a universal ratio $B_4^{(N)}/B_3\simeq 4.6$, which does not depend on $N$. The new scale can also be revealed by a resonance in the atom-trimer recombination process.

6 pages (two-columns), 2 figures

References in corpus (12)

• Observation of an Efimov spectrum in an atomic system
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Observation of heteronuclear atomic Efimov resonances
• Radio Frequency Association of Efimov Trimers
• Measurement of an Efimov trimer binding energy in a three-component mixture of 6Li
• Efimov physics in bosonic atom-trimer scattering
• Four-boson scale near a Feshbach resonance
• Description of ${}^4$He tetramer bound and scattering states
• Efimov Trimer Formation via Ultracold Four-body Recombination

Cited by in corpus (41)

• Efimov Physics: a review
• Three-body forces: From cold atoms to nuclei
• Universal few-body physics and cluster formation
• Nuclear Physics Around the Unitarity Limit
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Few-body physics in resonantly interacting ultracold quantum gases
• Universality of an impurity in a Bose-Einstein condensate
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Four-Body Scale in Universal Few-Boson Systems
• Variational calculation of 4He tetramer ground and excited states using a realistic pair potential
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Linear correlations between 4He trimer and tetramer energies calculated with various realistic 4He potentials
• Universality and scaling in the $N$-body sector of Efimov physics
• Effective Field Theory for Few-Boson Systems
• $N$-boson spectrum from a Discrete Scale Invariance
• Embedding nuclear physics inside the unitary window
• Binding and structure of tetramers in the scaling limit
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• Matching universal behavior with potential models
• Universality in Four-Boson Systems
• Three-body forces and Efimov physics in nuclei and atoms
• Trion clustering structure and binding energy in 2D semiconductor materials: Faddeev equations approach
• Effective range from tetramer dissociation data for cesium atoms
• Tetramers of two heavy and two light bosons
• Universal behaviour of four-boson systems from a functional renormalisation group
• Topological origin of universal few-body clusters in Efimov physics
• Resonant spectra of multipole-bound anions
• Efimov Physics in small bosonic clusters
• Causality, universality, and effective field theory for van der Waals interactions
• On the existence of Rydberg nuclear molecules
• Structural and quantum properties of van der Waals cluster near the unitary regime
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Emergent four-body parameter in universal two-species bosonic systems
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Relativistic Faddeev 3D Equations for Three-Body Bound States Without Two-Body $t-$Matrices
• Van der Waals five-body size-energy universality
• Emergence of N-body tunable interactions in universal few-atom system
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• Two- and three- dimensional few-body systems in the universal regime
• Low Energy Continuum and Lattice Effective Field Theories