Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems

Abstract

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the Efimov effect and we use the momentum-space wave equation to derive formulas for the scaling factor of the Efimov spectrum for any mass ratio assuming either that two or three of the two-body subsystems have a bound state at zero energy. We consider the single-particle momentum distribution analytically and numerically and analyse the tail of the momentum distribution to obtain the three-body contact parameter. Our finding demonstrate that the functional form of the three-body contact term depends on the mass ratio and we obtain an analytic expression for this behavior. To exemplify our results, we consider mixtures of Lithium with either two Caesium or Rubium atoms which are systems of current experimental interest.

16 pages, 9 figures, 1 appendix, revised version

References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• Quantum fluids of self-assembled chains of polar molecules
• Universal Relations for Identical Bosons from 3-Body Physics
• Universal three-body parameter in heteronuclear atomic systems
• Observation of interspecies Li-Cs Feshbach resonances
• Ultracold mixtures of atomic Li-6 and Cs-133 with tunable interactions
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Universal properties of Fermi gases in arbitrary dimensions
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• Single-Particle Momentum Distribution of an Efimov trimer
• Crossover in the Efimov spectrum
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Bound states of Dipolar Bosons in One-dimensional Systems
• Finite Range Effects in Energies and Recombination Rates of Three Identical Bosons
• Occurrence conditions for two-dimensional Borromean systems
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States
• Trajectory of virtual, bound and resonant Efimov states

Cited by in corpus (13)

• Three-body recombination in heteronuclear mixtures at finite temperature
• Universal three-body recombination and Efimov resonances in an ultracold Li-Cs mixture
• Efimov effect in $D$ spatial dimensions in $AAB$ systems
• Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
• Squeezing the Efimov effect
• Core momentum distribution in two-neutron halo nuclei
• Contact parameters in two dimensions for general three-body systems
• Efimov states in Li-Cs mixtures within a minimal model
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Dimensional effects in Efimov physics
• Single particle momentum distributions for three-bosons in two and three dimensions and dimensional crossover
• Few-body techniques using momentum space for bound and continuum states
• Scaling limit analysis of Borromean halos