Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions

Abstract

We study three-body systems in a mass-imbalanced two-component cold-atom mixture, and we investigate the three-body parameter of their Efimov states for both bosonic and fermionic systems, with a major focus on the Er-Er-Li Efimov states. For a system interacting solely via van der Waals interactions, the van der Waals universality of the three-body parameter is analytically derived using the quantum defect theory. With the addition of a perturbative dipole interaction between the heavy atoms, the three-body parameters of the bosonic and fermionic Efimov states are found to behave differently. When the dipole interaction is as strong as the van der Waals interaction, corresponding to realistic Er-Er-Li Efimov states, we show that the van der Waals universality persists once the effects of the non-perturbative dipole interaction are renormalized into the s-wave and p-wave scattering parameters between the heavy atoms. For a dipole interaction much stronger than the van der Waals interaction, we find that the universality of the Efimov states can be alternatively characterized by a quasi-one-dimensional scattering parameter due to a strong anisotropic deformation of the Efimov wavefunctions. Our work thus clarifies the interplay of isotropic and anisotropic forces in the universality of the Efimov states. Based on the renormalized van der Waals universality, the three-body parameter is estimated for specific isotopes of Er-Li cold-atom mixtures.

arXiv comment21pages, 13 figures

References in corpus (70)

• Feshbach Resonances in Ultracold Gases
• Quantum information with Rydberg atoms
• A High Phase-Space-Density Gas of Polar Molecules
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Bose-Einstein Condensation of Erbium
• Efimov Physics: a review
• Tools for quantum simulation with ultracold atoms in optical lattices
• Dipolar physics: A review of experiments with magnetic quantum gases
• Collisional stability of a three-component degenerate Fermi gas
• Three-body problem in Fermi gases with short-range interparticle interaction
• Universal few-body physics and cluster formation
• Three-boson problem near a narrow Feshbach resonance
• Observation of the Efimov state of the helium trimer
• Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Reaching Fermi degeneracy via universal dipolar scattering
• Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
• Dipolar gases in quasi one-dimensional geometries
• Origin of the Three-body Parameter Universality in Efimov Physics
• Effective field theory description of halo nuclei
• Geometric scaling of Efimov states in a ${}^6\text{Li}$-${}^{133}\text{Cs}$ mixture
• Radio Frequency Association of Efimov Trimers
• Universality of the three-body Efimov parameter at narrow Feshbach resonances
• Low-energy three-body dynamics in binary quantum gases
• Emergence of chaotic scattering in ultracold Er and Dy
• Efimov States in Nuclear and Particle Physics
• Measurement of an Efimov trimer binding energy in a three-component mixture of 6Li
• alpha-alpha Scattering in Halo Effective Field Theory
• Analytical solution of the bosonic three-body problem
• Non-universal Efimov Atom-Dimer Resonances in a Three-Component Mixture of 6Li
• Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases
• Multichannel quantum-defect theory for slow atomic collisions
• Universal three-body parameter in heteronuclear atomic systems
• Efimov physics beyond universality
• Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter
• Atom-dimer scattering and long-lived trimers in fermionic mixtures
• Few-body physics in resonantly interacting ultracold quantum gases
• Physical Origin of the Universal Three-body Parameter in Atomic Efimov Physics
• Association of Efimov trimers from a three-atom continuum
• Anisotropy induced Feshbach resonances in a quantum dipolar gas of magnetic atoms
• Testing universality of Efimov physics across broad and narrow Feshbach resonances
• Low energy atomic collision with dipole interactions
• Study of Efimov physics in two nuclear-spin sublevels of 7Li
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Feshbach resonances in the 6Li-40K Fermi-Fermi mixture: Elastic versus inelastic interactions
• Precision Test of the Limits to Universality in Few-Body Physics
• Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture
• Controlling interactions between highly-magnetic atoms with Feshbach resonances
• Efimov effect in quantum magnets
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Multichannel Quantum Defect Theory for cold molecular collisions
• The Efimov effect for three interacting bosonic dipoles
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Universal three-body physics for fermionic dipoles
• Crossover trimers connecting continuous and discrete scaling regimes
• Efimov-van-der-Waals universality for ultracold atoms with positive scattering lengths
• Modeling ${}^{19}$B as a ${}^{17}$B-n-n three-body system in the unitary limit
• Phase-locking between different partial-waves in atom-ion spin-exchange collisions
• Role of the intraspecies scattering length in the Efimov scenario with large mass difference
• Universal physics of 2+1 particles with non-zero angular momentum
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Finite-range effects in Efimov physics beyond the separable approximation
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• On the Efimov Effect in Higher Partial Waves
• Signature of the $s$-wave regime high above ultralow temperatures
• Multichannel effects in the Efimov regime from broad to narrow Feshbach resonances
• Observation of Feshbach resonances in an ${}^{167}$Er-${}^6$Li Fermi-Fermi mixture
• A coherent superposition of Feshbach dimers and Efimov trimers
• Resonant control of polar molecules in an optical lattice

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• Three-body forces and Efimov physics in nuclei and atoms
• Universal Efimov Scaling in the Rabi-Coupled Few-Body Spectrum
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Efimov Effect in Ultracold Microwave-Shielded Polar Molecules
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
• Efimov spectrum in the Born--Oppenheimer picture of 2+1 system with zero-range heavy-light interactions