Pseudopotentials for an ultracold dipolar gas

Change log
Whitehead, TM 
Conduit, GJ 

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 10−4EF in a diffusion Monte Carlo calculation.

cond-mat.quant-gas, cond-mat.quant-gas
Journal Title
Physical Review A
Conference Name
Journal ISSN
Volume Title
American Physical Society (APS)
Engineering and Physical Sciences Research Council (EP/J017639/1)
EPSRC (1492522)
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