Transition Temperature of the homogeneous, weakly interacting Bose gas

Markus Holzmann; Werner Krauth

doi:10.1103/physrevlett.83.2687

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arXiv · cond-mat/9905198

Transition Temperature of the homogeneous, weakly interacting Bose gas

Markus Holzmann·Werner Krauth

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Abstract

We present a Monte Carlo calculation for up to $N \sim 20 000$ bosons in 3 D to determine the shift of the transition temperature due to small interactions $a$. We generate independent configurations of the ideal gas. At finite $N$, the superfluid density changes by a certain correlation function in the limit $a \to 0$; the $N \to \infty$ limit is taken afterwards. We argue that our result is independent of the order of limits. Detailed knowledge of the non-interacting system for finite $N$ allows us to avoid finite-size scaling assumptions.

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Markus Holzmann, Werner Krauth. 1999-10-15. Transition Temperature of the homogeneous, weakly interacting Bose gas. https://doi.org/10.1103/physrevlett.83.2687

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