Mass-imbalanced Three-Body Systems in Two Dimensions
arXiv:1211.6342 · doi:10.1088/0953-4075/46/5/055301
Abstract
We consider three-body systems in two dimensions with zero-range interactions for general masses and interaction strengths. The momentum-space Schrödinger equation is solved numerically and in the Born-Oppenheimer (BO) approximation. The BO expression is derived using separable potentials and yields a concise adiabatic potential between the two heavy particles. The BO potential is Coulomb-like and exponentially decreasing at small and large distances, respectively. While we find similar qualitative features to previous studies, we find important quantitative differences. Our results demonstrate that mass-imbalanced systems that are accessible in the field of ultracold atomic gases can have a rich three-body bound state spectrum in two dimensional geometries. Small light-heavy mass ratios increase the number of bound states. For 87Rb-87Rb-6Li and 133Cs-133Cs-6Li we find respectively 3 and 4 bound states.
17 pages, 8 figures, revised version
References in corpus (38)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Evidence for Efimov quantum states in an ultracold gas of cesium atoms
- Realization of Bose-Einstein condensates in lower dimensions
- Controlling the quantum stereodynamics of ultracold bimolecular reactions
- Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
- p-Wave Interactions in Low-Dimensional Fermionic gases
- Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
- General relations for quantum gases in two and three dimensions. Two-component fermions
- Evolution of Fermion Pairing from Three to Two Dimensions
- Origin of the Three-body Parameter Universality in Efimov Physics
- Radio Frequency Association of Efimov Trimers
- Production of a Fermi gas of atoms in an optical lattice
- Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
- 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
- Quasi 2D Bose-Einstein condensation in an optical lattice
- Measurement of an Efimov trimer binding energy in a three-component mixture of 6Li
- Efimov physics beyond universality
- Observation of interspecies Li-Cs Feshbach resonances
- Bilayer superfluidity of fermionic polar molecules: many body effects
- Ultracold mixtures of atomic Li-6 and Cs-133 with tunable interactions
- Two-dimensional scattering and bound states of polar molecules in bilayers
- Evanescent-wave trapping and evaporative cooling of an atomic gas near two-dimensionality
- Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
- Model independence in two dimensions and polarized cold dipolar molecules
- Bound States and Universality in Layers of Cold Polar Molecules
- Three-Body Halos in Two Dimensions
- Universality and the three-body parameter of helium-4 trimers
- Universal three-body parameter in ultracold 4He*
- Few-body bound state stability of dipolar molecules in two dimensions
- Scaling and universality in two dimensions: three-body bound states with short-ranged interactions
- Layers of Cold Dipolar Molecules in the Harmonic Approximation
- A supercircle description of universal three-body states in two dimensions
- Bound States in n Dimensions (Especially n = 1 and n = 2)
- Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
- Dimensional Effects on the Momentum distribution of Bosonic Trimer States
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- Comparing and contrasting nuclei and cold atomic gases
- Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
- Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
- Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
- Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
- Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
- Universality in a one-dimensional three-body system
- Occurrence conditions for two-dimensional Borromean systems
- Efimov effect in a -dimensional Born-Oppenheimer approach
- Mean-square radii in mixed-species systems in two dimensions
- Bound states of a light atom and two heavy dipoles in two dimensions
- Dynamical excitation processes and correlations of three-body two-dimensional mixtures
- Three-Boson Bound States in Two Dimensions
- Contact parameters in two dimensions for general three-body systems
- Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
- Efimov effect evaporation after confinement
- Single particle momentum distributions for three-bosons in two and three dimensions and dimensional crossover
- Dimensional effects in Efimov physics
- Universality of three-body systems in 2D: parametrization of the bound states energies
- Reliability of the Born-Oppenheimer approximation in noninteger dimensions
- Mass-imbalanced Three-body Systems in 2D: bound states and the analytical approach to the adiabatic potential
- Two- and three- dimensional few-body systems in the universal regime