Pseudopotentials for an ultracold dipolar gas

Abstract

A gas of ultracold molecules interacting via the long-range dipolar potential offers a highly controlled environment in which to study strongly correlated phases. However, at particle coalescence the divergent $1/r^3$ dipolar potential and associated pathological wavefunction hinder computational analysis. For a dipolar gas constrained to two dimensions we overcome these numerical difficulties by proposing a pseudopotential that is explicitly smooth at particle coalescence, resulting in a 2000-times speedup in diffusion Monte Carlo calculations. The pseudopotential delivers the scattering phase shifts of the dipolar interaction with an accuracy of $10^{-5}$ and predicts the energy of a dipolar gas to an accuracy of $10^{-4}{E}_{\mathrm{F}}$ in a diffusion Monte Carlo calculation.

14 pages, 12 figures, to be published in Physical Review A

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Cited by in corpus (5)

• Effective-range dependence of resonant Fermi gases
• Effective-range dependence of two-dimensional Fermi gases
• Pseudopotential for the 2D contact interaction
• Jastrow correlation factor for periodic systems
• Quantum Monte Carlo study of low-dimensional Fermi fluids of dipolar atoms