Universality and scaling in the $N$-body sector of Efimov physics

Abstract

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a short-range interaction becoming infinite at the verge of binding two particles. These Efimov states display a discrete scale invariance symmetry, with the scaling factor independent of the microscopic interaction. Their energies in the limit of zero-range interaction can be parametrized, as a function of the scattering length, by a universal function. We have found, using a particular form of finite-range scaling, that the same universal function can be used to parametrize the energies of $N\le 6$ systems inside the Efimov-physics window. Moreover, we show that the same finite-scale analysis reconciles experimental measurements of three-body binding energies with the universal theory.

Added the derivation of the three-body shift Added calculations with Poschl-Teller potential Added the analysis of Li7 trimer-binding energy experimental data [PRL 108, 210406 (2012)]

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Cited by in corpus (30)

• Efimov Physics: a review
• Effective field theory description of halo nuclei
• Few-body physics in resonantly interacting ultracold quantum gases
• Universality of an impurity in a Bose-Einstein condensate
• Generalized Efimov scenario for heavy-light mixtures
• Effective Field Theory for Few-Boson Systems
• Efimov Physics and Connections to Nuclear Physics
• $N$-boson spectrum from a Discrete Scale Invariance
• Embedding nuclear physics inside the unitary window
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• 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
• Efimov physics with $1/2$ spin-isospin fermions
• Matching universal behavior with potential models
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• Three and four identical fermions near the unitary limit
• The influence of a surface in the non-retarded interaction between two atoms
• Triple α Resonances in the Decay of Hot Nuclear Systems *
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Weakly bound states with spin-isospin symmetry
• Window for Efimov physics for few-body systems with finite-range interactions
• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
• Universal noise and Efimov physics
• Hyperspherical cluster model for bosons: application to sub-threshold halo states in helium drops
• The role of the effective range in strongly-interacting few-body systems
• Van der Waals five-body size-energy universality
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• Gaussian characterization of two-neutron halo nuclei
• Efimov energy level rebounding off the atom-dimer continuum