Finite range corrections near a Feshbach resonance and their role in the Efimov effect

Abstract

We have measured the binding energy of ${}^7$Li Feshbach molecules deep into the non-universal regime by associating free atoms in a Bose-Einstein condensate by modulating the magnetic field. We extract the scattering length from these measurements, correcting for non-universal short-range effects using several different methods. We find that field-dependent effective range corrections agree well with the data. With this more precise determination of the scattering length vs. field we reanalyze our previous data on the location of atom loss features produced by the Efimov effect \cite{PollackSci09} and investigate effective range corrections to universal theory.

Accepted for publication in Phys. Rev. A

References in corpus (22)

• Observation of an Efimov spectrum in an atomic system
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Three-boson problem near a narrow Feshbach resonance
• Observation of universality in ultracold 7Li three-body recombination
• p-wave Feshbach molecules
• Observation of Heteronuclear Feshbach Molecules from a ${}^{85}$Rb - ${}^{87}$Rb gas
• Lifetime of the Bose Gas with Resonant Interactions
• Universality of the three-body Efimov parameter at narrow Feshbach resonances
• Heteronuclear molecules in an optical dipole trap
• Analytical solution of the bosonic three-body problem
• Limits on Universality in Ultracold Three-Boson Recombination
• Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances
• Association of ultracold double-species bosonic molecules
• Study of Efimov physics in two nuclear-spin sublevels of 7Li
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Multi-channel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects
• Association of molecules using a resonantly modulated magnetic field
• Universal three-body parameter in ultracold 4He*
• Effective range from tetramer dissociation data for cesium atoms
• The Avalanche Mechanism for Atom Loss near an Atom-Dimer Efimov Resonance
• Avalanche Mechanism for the Enhanced Loss of Ultracold Atoms
• Atom Loss Resonances in a Bose-Einstein Condensate

Cited by in corpus (67)

• Efimov Physics: a review
• Collisions of matter-wave solitons
• Universal few-body physics and cluster formation
• Formation of matter-wave soliton trains by modulational instability
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Geometric scaling of Efimov states in a ${}^6\text{Li}$-${}^{133}\text{Cs}$ mixture
• Observation of the Second Triatomic Resonance in Efimov's Scenario
• Few-body physics in resonantly interacting ultracold quantum gases
• Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
• Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms
• Feshbach resonances in potassium Bose-Bose mixtures
• Precision Test of the Limits to Universality in Few-Body Physics
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Contrasting the wide Feshbach resonances in ${}^6$Li and ${}^7$Li
• Development of a new UHV/XHV pressure standard (cold atom vacuum standard)
• Universality and scaling in the $N$-body sector of Efimov physics
• Generalized Efimov scenario for heavy-light mixtures
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Analytical model of overlapping Feshbach resonances
• Universal three-body recombination and Efimov resonances in an ultracold Li-Cs mixture
• Effective-range approximations for resonant scattering of cold atoms
• Efimov-van-der-Waals universality for ultracold atoms with positive scattering lengths
• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
• Universality in Efimov associated tetramers in 4He
• Three-body recombination of two-component cold atomic gases into deep dimers in an optical model
• Methods for Preparing Quantum Gases of Lithium
• Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
• The three-body parameter for Efimov states in lithium-6
• Efimov physics with $1/2$ spin-isospin fermions
• Finite-range effects in Efimov physics beyond the separable approximation
• Matching universal behavior with potential models
• Squeezing the Efimov effect
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• Isotopic shift of atom-dimer Efimov resonances in K-Rb mixtures: Critical effect of multichannel Feshbach physics
• Saturation properties of helium drops from a Leading Order description
• Site-Resolved Imaging of Bosonic Mott Insulator of ${}^7$Li atoms
• Multichannel effects in the Efimov regime from broad to narrow Feshbach resonances
• Association of Atoms into Universal Dimers using an Oscillating Magnetic Field
• Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium
• Recombination rates from potential models close to the unitary limit
• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• Three-body Physics in Strongly Correlated Spinor Condensates
• Three-body recombination at finite energy within an optical model
• A coherent superposition of Feshbach dimers and Efimov trimers
• Two- and three-body problem with Floquet-driven zero-range interactions
• Efimovian three-body potential from broad to narrow Feshbach resonances
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Emergent inflation of the Efimov spectrum under three-body spin-exchange interactions
• Tetramers of two heavy and two light bosons
• Multidimensional Discrete Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Harmonic and Subharmonic Association and Dissociation of Universal Dimers in a Thermal Gas
• Cluster formation in two-component Fermi gases
• The effects of trap-confinement and interatomic interactions on Josephson effects and macroscopic quantum self-trapping for a Bose-Einstein Condensate
• High-precision analysis of Feshbach resonances in a Mott insulator
• Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances
• Efimov states in Li-Cs mixtures within a minimal model
• Modeling atom-atom interactions at low energy by Jost-Kohn potentials
• Collective Dynamics and Atom Loss in Bright Soliton Matter Waves
• Fermionic vs. bosonic two-site Hubbard models with a pair of interacting cold atoms
• Observation of coherent oscillations in association of dimers from a thermal gas of ultracold atoms
• Two-mode Phonon Squeezing in Bose-Einstein Condensates for Gravitational Wave Detection
• Enhancing quantum order with fermions by increasing species degeneracy
• A model study on superfluidity of a unitary Fermi gas of atoms interacting with a finite-ranged potential
• Characterization of Feshbach resonances in ${}^6\mathrm{Li}{-}^7\mathrm{Li}$ using improved interaction potentials
• Shallow Trimers of Two Identical Fermions and One Particle in Resonant Regimes