A coherent state formalism involving density-phase variables is used to show that for the ideal Bose gas the suppression of Bose condensation in restricted geometries is due to thermal fluctuations of the superfluid velocity potential. The phase factor correlation function has the same form in one, two, and three dimensions as that obtained by Rice for superconductors, with the thermal wavelength setting the scale in this case.
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Shenoy, S.R., Biswas, A.C. Coherent states and the suppression of Bose-Einstein condensation in restricted geometries. J Low Temp Phys 34, 385–392 (1979). https://doi.org/10.1007/BF00117158
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DOI: https://doi.org/10.1007/BF00117158