Pseudopotential for the 2D contact interaction
arXiv:1603.05001 · doi:10.1103/PhysRevA.93.042702
Abstract
We propose a smooth pseudopotential for the contact interaction acting between ultracold atoms confined to two dimensions. The pseudopotential reproduces the scattering properties of the repulsive contact interaction up to 200 times more accurately than a hard disk potential, and in the attractive branch gives a 10-fold improvement in accuracy over the square well potential. Furthermore, the new potential enables diffusion Monte Carlo simulations of the ultracold gas to be run 15 times quicker than was previously possible.
arXiv comment11 pages, 9 figures
References in corpus (45)
- Topological Insulators
- Feshbach Resonances in Ultracold Gases
- Observation of resonance condensation of fermionic atom pairs
- Synthetic magnetic fields for ultracold neutral atoms
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Realization of Bose-Einstein condensates in lower dimensions
- Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface
- Exploring the Thermodynamics of a Universal Fermi Gas
- Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
- Quantum magnetism and criticality
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Interior Gap Superfluidity
- Continuum variational and diffusion quantum Monte Carlo calculations
- Fermionization of two distinguishable fermions
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
- p-Wave Interactions in Low-Dimensional Fermionic gases
- Observation of a two-dimensional Fermi gas of atoms
- Evolution of Fermion Pairing from Three to Two Dimensions
- Inhomogeneous phase formation on the border of itinerant ferromagnetism
- Stability Criteria for Breached Pair Superfluidity
- Observation of pair condensation in the quasi-2D BEC-BCS crossover
- BCS-BEC crossover in a two-dimensional Fermi gas
- Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Thermodynamics of an attractive 2D Fermi gas
- Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions
- Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
- Exact few-body results for strongly correlated quantum gases in two dimensions
- All-electron quantum Monte Carlo calculations for the noble gas atoms He to Xe
- Strategies for improving the efficiency of quantum Monte Carlo calculations
- Pair Correlations in the Two-Dimensional Fermi Gas
- Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
- Quadratic diffusion Monte Carlo and pure estimators for atoms
- Itinerant ferromagnetism in a two-dimensional atomic gas
- Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
- Atomic Fermi gas at the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
- Quantum Monte Carlo calculation of the zero-temperature phase diagram of the two-component fermionic hard-core gas in two dimensions
- Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation
- Pseudopotential for the electron-electron interaction
- High-fidelity pseudopotentials for the contact interaction
- Quantum Monte Carlo study of the two-dimensional ferromagnet
- Validity of the scattering length approximation in strongly interacting Fermi systems
- s-wave scattering and the zero-range limit of the finite square well in arbitrary dimensions
- Pseudopotentials for an ultracold dipolar gas
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- Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
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- Effective-range dependence of two-dimensional Fermi gases
- Jastrow correlation factor for periodic systems
- Fermionic properties of two interacting bosons in a two-dimensional harmonic trap
- Are smooth pseudopotentials a good choice for representing short-range interactions?
- Impurity-induced pairing in two-dimensional Fermi gases
- Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
- Mechanism for sound dissipation in a two-dimensional degenerate Fermi gas
- Phase Transitions of Repulsive Two-Component Fermi Gases in Two Dimensions