Mass-imbalanced fermionic mixture in a harmonic trap

Abstract

The mass-imbalanced fermionic mixture is studied, where $N\le 5$ identical fermions interact resonantly with an impurity, a distinguishable atom. The shell structure is explored, and the physics of a dynamic light-impurity is shown to be different from that of the static heavy-impurity case. The energies in a harmonic trap at unitarity are calculated and extrapolated to the zero-range limit. In doing so, the scaling factor of the ground state, as well as of a few excited states, is calculated. In the $2\le N\le 4$ systems, pure $(N+1)$ Efimov states exist for large enough mass ratio. However, no sign for a six-body Efimov state in the $(5+1)$ system is found in the mass ratio explored, $M/m\le 12$.

References in corpus (28)

• Weakly bound dimers of fermionic atoms
• Efimov Physics: a review
• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Three-body problem in Fermi gases with short-range interparticle interaction
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Few-body physics with ultracold atomic and molecular systems in traps
• Low-energy three-body dynamics in binary quantum gases
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Atom-dimer scattering and long-lived trimers in fermionic mixtures
• Four-body Efimov effect
• Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance
• Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient
• Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture
• Universal Fermi Gas with Two- and Three-Body Resonances
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Breakdown of universality for unequal-mass Fermi gases with infinite scattering length
• Effective Field Theory for Few-Boson Systems
• Universal four-body states in heavy-light mixtures with positive scattering length
• Green's Functions and the Adiabatic Hyperspherical Method
• Trimers in the resonant 2+1 fermionic problem on a narrow Feshbach resonance : Crossover from Efimovian to Hydrogenoid spectrum
• Crossover trimers connecting continuous and discrete scaling regimes
• Universal physics of 2+1 particles with non-zero angular momentum
• On the Efimov Effect in Higher Partial Waves
• Few-body resonances of unequal-mass systems with infinite interspecies two-body s-wave scattering length
• Non-universal bound states of two identical heavy fermions and one light particle
• Short Range Scaling Laws of Quantum Gases With Contact Interactions
• Universal description of three two-component fermions
• The interaction-sensitive states of a trapped two-component ideal Fermi gas and application to the virial expansion of the unitary Fermi gas

Cited by in corpus (5)

• Universality of an impurity in a Bose-Einstein condensate
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Three-body contact for fermions. I. General relations
• Efimov physics beyond three particles