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25 April 2024
 
  » arxiv » cond-mat/0103228

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Transition temperature of a dilute homogeneous imperfect Bose gas
Peter Arnold ; Guy D. Moore ;
Date 10 Mar 2001
Journal Phys.Rev.Lett. 87 (2001) 120401
Subject Condensed Matter; Atomic Physics | cond-mat hep-ph physics.atom-ph
AbstractThe leading-order effect of interactions on a homogeneous Bose gas is theoretically predicted to shift the critical temperature by an amount DeltaTc = # a_{scatt} n^{1/3} T_0 from the ideal gas result T_0, where a_{scatt} is the scattering length and n is the density. There have been several different theoretical estimates for the numerical coefficient #. We claim to settle the issue by measuring the numerical coefficient in a lattice simulation of O(2) phi^4 field theory in three dimensions---an effective theory which, as observed previously in the literature, can be systematically matched to the dilute Bose gas problem to reproduce non-universal quantities such as the critical temperature. We find # = 1.32 +- 0.02.
Source arXiv, cond-mat/0103228
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