Efimov States of Heavy Impurities in a Bose-Einstein Condensate

Abstract

We consider the problem of two heavy impurity particles embedded in a gas of weakly-interacting light mass bosonic particles in the condensed state. Using the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer approximation for the three-body dynamics, we calculate the modification to the heavy-heavy two-body potential due to the presence of the condensate. For the case of resonant interaction between the light bosons and the impurities, we present (semi)-analytical results for the potential in the limit of a large condensate coherence length. In particular, we find a formula for the modification of the Efimov scaling factor due to the presence of a degenerate bosonic gas background.

arXiv comment6 pages, 3 figures, final version

References in corpus (44)

• The electronic properties of graphene
• Topological Insulators
• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Energetics of a strongly correlated Fermi gas
• Froehlich Polaron and Bipolaron: Recent Developments
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• Feynman path-integral treatment of the BEC-impurity polaron
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Small polarons in dilute gas Bose-Einstein condensates
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
• Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
• Origin of the Three-body Parameter Universality in Efimov Physics
• Towards the production of ultracold ground-state RbCs molecules: Feshbach resonances, weakly bound states, and coupled-channel model
• Sympathetic Cooling with Two Atomic Species in an Optical Trap
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• Interaction-Induced Localization of an Impurity in a Trapped Bose Condensate
• Quantum phase transitions in the Bose-Fermi Kondo model
• Efimov physics beyond universality
• Universal three-body parameter in heteronuclear atomic systems
• Observation of interspecies Li-Cs Feshbach resonances
• Ultracold mixtures of atomic Li-6 and Cs-133 with tunable interactions
• Feshbach resonances in an ultracold ${}^7$Li and ${}^{87}$Rb mixture
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Universality and the three-body parameter of helium-4 trimers
• The Kondo effect in bosonic spin liquids
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Many-polaron description of impurities in a Bose-Einstein condensate in the weak coupling regime
• Multi-impurity polarons in a dilute Bose-Einstein condensate
• Pauli Blocking Effect on Efimov States Near Feshbach Resonance
• Pauli blocking effects and Cooper triples in three-component Fermi gases
• Universal three-body parameter in ultracold 4He*
• Nature of 3D Bose Gases near Resonance
• Efimov three-body states on top of a Fermi sea
• Bose Gases Near Resonance: renormalized interactions in a condensate
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Single Cs Atoms as Collisional Probes in a large Rb Magneto-Optical Trap
• Inserting single Cs atoms into an ultracold Rb gas
• Magnetic-field dependent trap loss of ultracold metastable helium
• Tan's distributions and Fermi-Huang pseudopotential in momentum space
• Universal scaling of Efimov resonance positions in cold atom systems
• Non-exponential one-body loss in a Bose-Einstein condensate

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• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Scattering of two heavy Fermi polarons: resonances and quasibound states
• Few vs many-body physics of an impurity immersed in a superfluid of spin 1/2 attractive fermions
• Universal Bose Gases Near Resonance: A Rigorous Solution
• Efimov three-body states on top of a Fermi sea
• Mean-field study of repulsive 2D and 3D Bose polarons
• Polaron in the dilute critical Bose condensate
• Few-body Physics in a Many-body World
• Ultracold mixtures of metastable He and Rb: scattering lengths from ab initio calculations and thermalization measurements
• Dynamical formation of the unitary Bose gas
• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• Three in Many: Efimov physics in the presence of a Fermi sea
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Competing few-body correlations in ultracold Fermi polarons
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Correlated Gaussian Approach to Anisotropic Resonantly Interacting Few-Body Systems
• Fermions meet two bosons -- the heteronuclear Efimov effect revisited
• Spectral flow of trimer states of two heavy impurities and one light condensed boson
• Efimov states in Li-Cs mixtures within a minimal model
• Functional renormalisation group approach to the finite-temperature Bose polaron
• Self-stabilized Bose polarons
• Observability of the Efimov spectrum in an electron-atom-atom system