Ground state of a tightly bound composite dimer immersed in a Fermi Sea

Abstract

In this paper we present a theoretical investigation for the ground state of an impurity immersed in a Fermi sea. The molecular regime is considered where a two-body bound state between the impurity and one of the fermions is formed. Both interaction and exchange of the bound fermion take place between the dimer and the Fermi sea. We develop a formalism based on a two channel model allowing us to expand systematically the ground state energy of this immersed dimer with the scattering length $a$. Working up to order $a^3$, associated to the creation of two particle-hole pairs, reveals the first signature of the composite nature of the bosonic dimer. Finally, a complementary variational study provides an accurate estimate of the dimer energy even at large scattering length.

arXiv comment11 pages; 3 figures

References in corpus (17)

• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Three-body problem in Fermi gases with short-range interparticle interaction
• Normal state of highly polarized Fermi gases: simple many-body approaches
• Normal state of a polarized Fermi gas at unitarity
• Phase separation in a polarized Fermi gas at zero temperature
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Analytical solution of the bosonic three-body problem
• Trapped fermions with density imbalance in the BEC limit
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Ground-state properties of a dilute Bose-Fermi mixture
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Spin polarons and molecules in strongly-interacting atomic Fermi gases

Cited by in corpus (76)

• Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Imbalanced Feshbach-resonant Fermi gases
• Ultra-cold Polarized Fermi Gases
• Polaron to molecule transition in a strongly imbalanced Fermi gas
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Repulsive polarons and itinerant ferromagnetism in strongly polarized Fermi gases
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Highly polarized Fermi gases in two dimensions
• Collisional Stability of 40K Immersed in a Strongly Interacting Fermi Gas of 6Li
• Bose polarons at finite temperature and strong coupling
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Observation of a smooth polaron-molecule transition in a degenerate Fermi gas
• Quasiparticle properties of an impurity in a Fermi gas
• Decay of polarons and molecules in a strongly polarized Fermi gas
• Quantum dynamics of impurities coupled to a Fermi sea
• All-optical production of a degenerate mixture of 6Li and 40K and creation of heteronuclear molecules
• Feshbach resonances in the 6Li-40K Fermi-Fermi mixture: Elastic versus inelastic interactions
• Stability and breakdown of Fermi polarons in a strongly interacting Fermi-Bose mixture
• Trapped one-dimensional ideal Fermi gas with a single impurity
• Finite-temperature behavior of the Bose polaron
• Dark Continuum in the Spectral Function of the Resonant Fermi Polaron
• An impurity in a Fermi sea on a narrow Feshbach resonance: A variational study of the polaronic and dimeronic branches
• Pairing and condensation in a resonant Bose-Fermi mixture
• The geometric measure of entanglement for a symmetric pure state with positive amplitudes
• The normal phase of an imbalanced Fermi gas
• Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions
• Polarons in a Dipolar Condensate
• Mass imbalance effect in resonant Bose-Fermi mixtures
• Many Fermi polarons at nonzero temperature
• Polarons and dressed molecules near narrow Feshbach resonances
• The Fermi-polaron in two dimensions: Importance of the two-body bound state
• Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
• Dynamical variational approach to Bose polarons at finite temperatures
• Theory of radio-frequency spectroscopy of impurities in quantum gases
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• Thermal crossover, transition, and coexistence in Fermi polaronic spectroscopies
• Ab initio lattice results for Fermi polarons in two dimensions
• High-temperature limit of the resonant Fermi gas
• Generalized Hartree-Fock-Bogoliubov Description of the Frohlich Polaron
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Scattering of two heavy Fermi polarons: resonances and quasibound states
• Condensed phase of Bose-Fermi mixtures with a pairing interaction
• Efimov three-body states on top of a Fermi sea
• Mobile impurity in a Fermi sea from the functional renormalization group analytically continued to real time
• High-polarization limit of the quasi-two-dimensional Fermi gas
• Response of the polaron system consisting of an impurity in a Bose-Einstein condensate to Bragg spectroscopy
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Polaronic effects in one- and two-band quantum systems
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Nature of polaron-molecule transition in Fermi polarons
• Induced interactions and quench dynamics of bosonic impurities immersed in a Fermi sea
• Equation of state of a polarized Fermi gas in the Bose-Einstein Condensate limit
• A mobile ion in a Fermi sea
• Spectral Theory of the Fermi Polaron
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Application of lasers to ultracold atoms and molecules
• A mixed dimensional Bose polaron
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
• Metastability in spin polarised Fermi gases and quasiparticle decays
• Excitonic states of an impurity in a Fermi gas
• Spectra of heavy polarons and molecules coupled to a Fermi sea
• Observation of Magnon-Polarons in the Fermi-Hubbard Model
• Polaronic and dressed molecular states in orbital Feshbach resonances
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Mass-gap description of heavy impurities in Fermi gases
• Probing polaron clouds by Rydberg atom spectroscopy
• Scattering resonances and pairing in a Rabi-coupled Fermi gas
• High Density Limit of the Fermi Polaron with Infinite Mass
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• Weak coupling limit for the ground state energy of the 2D Fermi polaron
• Ab initio study of the neutron and Fermi polarons on the lattice