Abstract
It was recently observed that liquid 4He confined in porous glass lost its superfluidity at high pressures and very low temperatures, causing the quantum phase transition by the strong correlation. Motivated by this experiment, we study the behavior of a strongly correlated Bose fluid in a disordered environment, such as the Bose-Einstein condensate (BEC) and superfluid critical temperatures, by using a model of 3-dimensional Bose fluid in a random potential. For the perturbation of the repulsive interaction between particles, we introduced two-loop renormalized self energy by the self-consistent calculation, which is effective near the BEC critical temperature. Calculating the second order perturbation with respect to the random potential, we found that the BEC disappears at high densities, which is qualitatively consistent with the experimental results.
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