Pseudopotentials for an ultracold dipolar gas
Physical Review A
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Whitehead, T., & Conduit, G. (2016). Pseudopotentials for an ultracold dipolar gas. Physical Review A, 93 (022706)https://doi.org/10.1103/PhysRevA.93.022706
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/r³ 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 10⁻⁴E_F in a diffusion Monte Carlo calculation.
TMW acknowledges the financial support of the EPSRC [EP/J017639/1], and GJC acknowledges the financial support of the Royal Society and Gonville & Caius College. There is Open Access to this paper and data available at https://www.repository.cam.ac.uk.
External DOI: https://doi.org/10.1103/PhysRevA.93.022706
This record's URL: https://www.repository.cam.ac.uk/handle/1810/253553
Attribution-NonCommercial 2.0 UK: England & Wales
Licence URL: http://creativecommons.org/licenses/by-nc/2.0/uk/
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