Mechanical stability of resonant Bose-Fermi mixtures

Abstract

We investigate the mechanical stability of Bose-Fermi mixtures at zero temperature in the presence of a tunable Feshbach resonance, which induces a competition between boson condensation and boson-fermion pairing when the boson density is smaller than the fermion density. Using a many-body diagrammatic approach validated by fixed-node Quantum Monte Carlo calculations and supported by recent experimental observations, we determine the minimal amount of boson-boson repulsion required to guarantee the stability of the mixture across the entire range of boson-fermion interactions from weak to strong coupling. Our stability phase diagrams indicate that mixtures with boson-to-fermion mass ratios near two, such as the ${}^{87}$Rb-${}^{40}$K system, exhibit optimal stability conditions. Moreover, by applying our results to a recent experiment with a ${}^{23}$Na-${}^{40}$K mixture, we find that the boson-boson repulsion was insufficient to ensure stability, suggesting that the experimental timescale was short enough to avoid mechanical collapse. On the other hand, we also show that even in the absence of boson-boson repulsion, Bose-Fermi mixtures become intrinsically stable beyond a certain coupling strength, preceding the quantum phase transition associated with the vanishing of the bosonic condensate. We thus propose an experimental protocol for observing this quantum phase transition in a mechanically stable configuration.

arXiv comment26 pages, 8 figures, article

References in corpus (84)

• Many-Body Physics with Ultracold Gases
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of atoms in a uniform potential
• Bose polarons in the strongly interacting regime
• A Fermi Degenerate Gas of Polar Molecules
• A Mixture of Bose and Fermi Superfluids
• Homogeneous Atomic Fermi Gases
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Bose polarons near quantum criticality
• On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
• Evaporation of microwave-shielded polar molecules to quantum degeneracy
• Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study
• Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
• Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
• Fermion-Mediated Interactions Between Bosonic Atoms
• Quantum degenerate Bose-Fermi mixture of chemically different atomic species with widely tunable interactions
• Tests of universal three-body physics in an ultracold Bose-Fermi mixture
• Two-Element Mixture of Bose and Fermi Superfluids
• Formation of Ultracold Fermionic NaLi Feshbach Molecules
• Strongly Interacting Isotopic Bose-Fermi Mixture Immersed in a Fermi Sea
• Trapped fermions with density imbalance in the BEC limit
• Critical Velocity and Dissipation of an ultracold Bose-Fermi Counterflow
• Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
• Three-body problem in heteronuclear mixtures with resonant interspecies interaction
• Ground-state properties of a dilute Bose-Fermi mixture
• Mean-field instability of trapped dilute boson-fermion mixtures
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• Probing the Interface of a Phase-Separated State in a Repulsive Bose-Fermi Mixture
• Depletion of the Bose-Einstein condensate in Bose-Fermi mixtures
• Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature: general formalismand beyond mean-field corrections
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Simulating dense QCD matter with ultracold atomic boson-fermion mixtures
• Mediated interactions between Fermi polarons and the role of impurity quantum statistics
• Induced $p$-wave pairing in Bose-Fermi mixtures
• Observation of spin-spin fermion-mediated interactions between ultracold bosons
• Stability and breakdown of Fermi polarons in a strongly interacting Fermi-Bose mixture
• Degenerate Bose-Fermi mixtures of rubidium and ytterbium
• Topological superfluid in a Fermi-Bose mixture with a high critical temperature
• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
• Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
• Pairing and condensation in a resonant Bose-Fermi mixture
• Phase separation and collapse in Bose-Fermi mixtures with a Feshbach resonance
• Stability Condition of a Strongly Interacting Boson-Fermion Mixture across an Inter-Species Feshbach Resonance
• Quantum phase transition in Bose-Fermi mixtures
• Mass imbalance effect in resonant Bose-Fermi mixtures
• Bose-Fermi Pair Correlations in Attractively Interacting Bose-Fermi Atomic Mixtures
• Fermi-Fermi Mixtures in the Strong Attraction Limit
• Boson-Fermion pairing in a Boson-Fermion environment
• Feshbach molecule formation in a Bose-Fermi mixture
• From the Cooper problem to canted supersolids in Bose-Fermi mixtures
• Quantum phases in a resonantly-interacting Bose-Fermi mixture
• Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices
• Extracting the condensate density from projection experiments with Fermi gases
• Condensed phase of Bose-Fermi mixtures with a pairing interaction
• Density and Stability in Ultracold Dilute Boson-Fermion Mixtures
• Suppression of Unitary Three-body Loss in a Degenerate Bose-Fermi Mixture
• Sound propagation in a Bose-Fermi mixture: from weak to strong interactions
• Zero-Temperature Equation of State and Phase Diagram of Repulsive Fermionic Mixtures
• Stability of fermionic Feshbach molecules in a Bose-Fermi mixture
• A quantum degenerate Bose-Fermi mixture of ${}^{41}$K and ${}^6$Li
• Generalized Mean Field Approach to a Resonant Bose-Fermi Mixture
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Single-particle spectral functions in the normal phase of a strongly-attractive Bose-Fermi mixture
• Unconventional superfluidity of fermions in Bose-Fermi mixtures
• Double Degenerate Bose-Fermi Mixture of Strontium and Lithium
• Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Strongly interacting Bose-Fermi mixture: mediated interaction, phase diagram and sound propagation
• Collective flow of fermionic impurities immersed in a Bose-Einstein Condensate
• Pair correlations in the normal phase of an attractive Fermi gas
• Bose-Fermi mixtures in the molecular limit
• Thermodynamic stability, compressibility matrix, and effects of mediated interactions in a strongly-interacting Bose-Fermi mixture
• Atom-dimer scattering in heteronuclear mixture with finite intra-species scattering length
• Single-Particle properties of a strongly-interacting Bose-Fermi mixture with mass and population imbalance
• Superfluid equation of state of cold fermionic gases in the Bose-Einstein regime
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
• Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Bose-Einstein condensation and density collapse in a weakly coupled boson-fermion mixture
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Quantum Monte Carlo study of the indirect Pauli exclusion effect in Bose-Fermi mixtures