Bose-Einstein condensation and density collapse in a weakly coupled boson-fermion mixture
arXiv:1412.4491 · doi:10.1103/PhysRevA.90.063629
Abstract
We investigate the mechanical instability toward density collapse and the transition temperature of Bose-Einstein condensation in the weakly coupled boson-fermion many-body mixture of single-component boson and fermion gases, in the case of the repulsive boson-boson and attractive boson-fermion interactions; no fermion-fermion interaction is assumed due to the Pauli exclusion because of the diluteness of the mixture. The mechanical instability occurs in the part of bosonic gas in the case where the induced boson-boson attraction mediated by the fermion polarization overcomes the boson-boson repulsive interaction at low temperatures. We calculate the onset temperature of the mechanical instability and the BEC transition temperature for the interaction strength and the boson-fermion number ratio. We also discuss the relation between the mechanical instability and the BEC transition using a diagrammatic method.
20 pages, 8 figures
References in corpus (51)
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions
- The transition temperature of the dilute interacting Bose gas
- Transition temperature of a dilute homogeneous imperfect Bose gas
- Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap
- Atomic Bose Gas with Negative Scattering Length
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Bose-Einstein Condensation of an Ytterbium Isotope
- The transition temperature of the dilute interacting Bose gas for internal degrees of freedom
- Stability of Bose condensed atomic Li-7
- Bose-Einstein transition in a dilute interacting gas
- Mean-field instability of trapped dilute boson-fermion mixtures
- Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture
- Component separation in harmonically trapped boson-fermion mixtures
- Critical temperature of interacting Bose gases in two and three dimensions
- Depletion of the Bose-Einstein condensate in Bose-Fermi mixtures
- Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
- T_c for homogeneous dilute Bose gases: a second-order result
- Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature: general formalismand beyond mean-field corrections
- Simulating dense QCD matter with ultracold atomic boson-fermion mixtures
- Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length
- Induced instability for boson-fermion mixed condensate of Alkali atoms due to attractive boson-fermion interaction
- T_c for trapped dilute Bose gases: a second-order result
- Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
- Sum Rule Approach to Collective Oscillations of Boson-Fermion Mixed Condensate of Alkali Atoms
- Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
- Pairing and condensation in a resonant Bose-Fermi mixture
- Finite Temperature Collapse of a Bose Gas with Attractive Interactions
- Stability Condition of a Strongly Interacting Boson-Fermion Mixture across an Inter-Species Feshbach Resonance
- Quantum phase transition in Bose-Fermi mixtures
- Critical Temperature of a Trapped Bose Gas: Mean-Field Theory and Fluctuations
- Mass imbalance effect in resonant Bose-Fermi mixtures
- KRb Feshbach Resonances: Modeling the interatomic potential
- Bose-Fermi Pair Correlations in Attractively Interacting Bose-Fermi Atomic Mixtures
- Random-phase approximation study of collective excitations in the Bose-Fermi mixed condensate of alkali-metal gases
- Boson-Fermion pairing in a Boson-Fermion environment
- Critical behavior of weakly interacting bosons: A functional renormalization group approach
- Static Properties of Trapped Bose-Fermi Mixed Condensate of Alkali Atoms
- Thermodynamics of a Trapped Bose-Fermi Mixture
- Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach
- Bose-Fermi mixed condensates of atomic gas with Boson-Fermion quasi-bound state
- Quantum Monte Carlo simulation of three-dimensional Bose-Fermi mixtures
- Critical temperature of Bose-Einstein condensation in trapped atomic Bose-Fermi mixtures
- Attractive Boson and the Gas-Liquid Condensation
- Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases
- Quantum gas-liquid condensation in an attractive Bose gas
- Large N Expansion for Strongly-coupled Boson-Fermion Mixtures