Scattering of two heavy Fermi polarons: resonances and quasibound states

Abstract

Impurities in a Fermi sea, or Fermi polarons, experience a Casimir interaction induced by quantum fluctuations of the medium. When there is short-range attraction between impurities and fermions, also the induced interaction between two impurities is strongly attractive at short distance and oscillates in space for larger distances. We theoretically investigate the scattering properties and compute the scattering phase shifts and scattering lengths between two heavy impurities in an ideal Fermi gas at zero temperature. While the induced interaction between impurities is weakly attractive for weak impurity-medium interactions, we find that impurities strongly and attractively interacting with the medium exhibit resonances in the induced scattering with a sign change of the induced scattering length and even strong repulsion. These resonances occur whenever a three-body Efimov bound state appears at the continuum threshold. At energies above the continuum threshold, we find that the Efimov state in medium can turn into a quasibound state with a finite decay width.

7 pages, 6 figures; published version

References in corpus (44)

• Universality in Few-body Systems with Large Scattering Length
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• Efimov Physics: a review
• Attractive and repulsive Fermi polarons in two dimensions
• Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Polaron to molecule transition in a strongly imbalanced Fermi gas
• Geometric scaling of Efimov states in a ${}^6\text{Li}$-${}^{133}\text{Cs}$ mixture
• Radio Frequency Association of Efimov Trimers
• Bipolarons in a Bose-Einstein Condensate
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Boiling a Unitary Fermi Liquid
• Fermion-Mediated Interactions Between Bosonic Atoms
• Low-energy three-body dynamics in binary quantum gases
• Universal three-body parameter in heteronuclear atomic systems
• Ground state of a tightly bound composite dimer immersed in a Fermi Sea
• Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates
• Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
• Observation of spin-spin fermion-mediated interactions between ultracold bosons
• Heteronuclear Efimov scenario with positive intraspecies scattering length
• Theory of a resonantly interacting impurity in a Bose-Einstein condensate
• The normal phase of an imbalanced Fermi gas
• Casimir Interaction among Objects Immersed in a Fermionic Environment
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Pauli Blocking Effect on Efimov States Near Feshbach Resonance
• 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
• Fermion-mediated interactions in a dilute Bose-Einstein condensate
• Efimov States of Heavy Impurities in a Bose-Einstein Condensate
• Does the quark-gluon plasma contain stable hadronic bubbles?
• Efimov three-body states on top of a Fermi sea
• Shell correction energy for bubble nuclei
• Induced interactions and quench dynamics of bosonic impurities immersed in a Fermi sea
• Three in Many: Efimov physics in the presence of a Fermi sea
• Three-body bound states of two bosonic impurities immersed in a Fermi sea in 2D
• Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions
• Fermions meet two bosons -- the heteronuclear Efimov effect revisited

Cited by in corpus (16)

• Impurities in a one-dimensional Bose gas: the flow equation approach
• Mediated interactions between ions in quantum degenerate gases
• Sound propagation in a Bose-Fermi mixture: from weak to strong interactions
• Universal van der Waals Force Between Heavy Polarons in Superfluids
• Interactions mediated by atoms, photons, electrons, and excitons
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• Strongly interacting Bose-Fermi mixture: mediated interaction, phase diagram and sound propagation
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• Competing few-body correlations in ultracold Fermi polarons
• Impurity with a resonance in the vicinity of the Fermi energy
• Extracting non-local inter-polaron interactions from collisional dynamics
• Self-stabilized Bose polarons
• Three-Body Bound States of Quantum Particles: Higher Stability Through Braiding
• Effective pair interaction between impurity particles induced by a dense Fermi gas
• Complex-valued in-medium potential between heavy impurities in ultracold atoms