Weakly Bound Cluster States of Efimov Character

Abstract

We study the behavior of weakly bound clusters and their relation to the well-known three-body Efimov states. We adopt a model to describe universal behavior of strongly interacting bosonic systems, and we test its validity by reproducing predictions of three- and four-body universal states. Then, we extend our study to larger systems and identify a series of universal cluster states that can be qualitatively interpreted as adding one particle at a time to an Efimov trimer. The properties of these cluster states and their experimental signatures are discussed.

9 pages, 3 figures, final version

References in corpus (11)

• Theory of ultracold Fermi gases
• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Universality in Three- and Four-Body Bound States of Ultracold Atoms
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Production of three-body Efimov molecules in an optical lattice
• N-body Efimov states of trapped bosons

Cited by in corpus (75)

• Efimov Physics: a review
• Three-body forces: From cold atoms to nuclei
• Universal few-body physics and cluster formation
• Few-body physics with ultracold atomic and molecular systems in traps
• Effective field theory description of halo nuclei
• Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Lifetime of the Bose Gas with Resonant Interactions
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• Efimov Resonances in Ultracold Quantum Gases
• Comparing and contrasting nuclei and cold atomic gases
• Efimov States in Nuclear and Particle Physics
• Nuclear Physics Around the Unitarity Limit
• Efimov physics beyond universality
• Few-body physics in resonantly interacting ultracold quantum gases
• Universality of an impurity in a Bose-Einstein condensate
• Universality and scaling limit of weakly-bound tetramers
• Theory of excitation of Rydberg polarons in an atomic quantum gas
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Efimov-driven phase transitions of the unitary Bose gas
• Supplementary information to "Efimov-driven phase transitions of the unitary Bose gas"
• Spectra of helium clusters with up to six atoms using soft core potentials
• Four-Body Scale in Universal Few-Boson Systems
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Universality and scaling in the $N$-body sector of Efimov physics
• Generalized Efimov scenario for heavy-light mixtures
• Effective Field Theory for Few-Boson Systems
• Universal four-body states in heavy-light mixtures with positive scattering length
• Resonant Five-body Recombination in an Ultracold Gas of Bosonic Atoms
• Bound states in a quasi-two-dimensional Fermi gas
• Efimov Physics and Connections to Nuclear Physics
• The ^4He trimer as an Efimov system
• $N$-boson spectrum from a Discrete Scale Invariance
• Pauli Blocking Effect on Efimov States Near Feshbach Resonance
• First order phase transitions in optical lattices with tunable three-body onsite interaction
• Naturalness in Nuclear Effective Field Theories
• Binding and structure of tetramers in the scaling limit
• Third virial coefficient of the unitary Bose gas
• Monte Carlo Simulations of the Unitary Bose Gas
• Ground-state properties of unitary bosons: from clusters to matter
• Universal three-body parameter in ultracold 4He*
• Efimov physics from a renormalization group perspective
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• 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
• N-body Efimov states from two-particle noise
• The three-body parameter for Efimov states in lithium-6
• The third virial coefficient of a two-component unitary Fermi gas across an Efimov-effect threshold
• Clustering of Four-Component Unitary Fermions
• Universal few-body physics in a harmonic trap
• Quantum unbinding near a zero temperature liquid-gas transition
• Ground state of small mixed helium and spin-polarized tritium clusters: a quantum Monte Carlo stud
• Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium
• Scattering of universal fermionic clusters in the resonating group method
• Universality in Four-Boson Systems
• Long-lived universal resonant Bose gases
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Three and four identical fermions near the unitary limit
• Multi-fermion systems with contact theories
• A liquid-gas transition for bosons with attractive interaction in one dimension
• Tetramer Bound States in Heteronuclear Systems
• Momentum distribution in the unitary Bose gas from first principles
• Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
• Six-bodies calculations using the Hyperspherical Harmonics method
• Efimov spectrum in bosonic systems with increasing number of particles
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Emergent four-body parameter in universal two-species bosonic systems
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• 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
• Quantum N-Boson States and Quantized Motion of Solitonic Droplets: Universal Scaling Properties in Low Dimensions
• Universal noise and Efimov physics
• Liquid-solid transitions in the three-body hard-core model