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Validity of projected Gross-Pitaevskii simulation: comparison with quantum Monte Carlo
Toshihiro Sato1, Yasuyuki Kato, Takafumi Suzuki
1Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan.
Abstract:
We examine the validity of the projected Gross-Pitaevskii simulation by taking the two-dimensional homogeneous bosonic system as an example. The long-distance behaviors of the correlation function and equilibrium temperatures show good agreement with those of the quantum Monte Carlo calculations below temperatures near the Kosterlitz-Thouless transition. We find that in the projected Gross-Pitaevskii description, one needs to estimate the optimal wave-number cutoff in temperature. In the well-described region, the projected Gross-Pitaevskii equation presents reliable predictions for the long-wave bosonic components.
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