arXiv:1502.07171

Comment on "Interface tension of Bose-Einstein condensates" by Bert Van Schaeybroeck, Phys. Rev. A 78, 023624-9 (2008)

Todor M. Mishonov

Published Feb 25, 2015• 2 citations

Abstract

The purpose of the comment is to point out that the leading term of the Ginzburg-Landau nonanalytical correction to the interface tension of Bose-Einstein condensates with strong segregation and the surface tension of extreme type-I superconductors are described by a common coefficient derived from the universal equation for the phase boundary. The agreement between the numerical value of the coefficients gives a hint that this can be an exact result which deserves to be checked. The outcome will be of interest for physicists working in both fields.

DOI: 10.48550/arxiv.1502.07171

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arXiv:1502.07171

Comment on "Interface tension of Bose-Einstein condensates" by Bert Van Schaeybroeck, Phys. Rev. A 78, 023624-9 (2008)

Todor M. Mishonov

Published Feb 25, 2015• 2 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.1502.07171

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K

. An exact solution to the Gross-Pitaevskii (GP) equations is obtained for the special case ${\ensuremath{\xi}}_{2}/{\ensuremath{\xi}}_{1}=1/2$ and

K=3/2

. Furthermore, applying a double-parabola approximation (DPA) to the energy density featured in GP theory allows us to define a DPA model, which is much simpler to handle than GP theory but nevertheless still captures the main physics. In particular, a compact analytic expression for the interfacial tension is derived that is useful for all ${\ensuremath{\xi}}_{1},\phantom{\rule{0.28em}{0ex}}{\ensuremath{\xi}}_{2}$, and

K

. An application to wetting phenomena is presented for condensates adsorbed at an optical wall. The wetting phase boundary obtained within the DPA model nearly coincides with the exact one in GP theory.

Comment on "Evolution from BCS Superconductivity to Bose-Einstein Condensation: Role of the Parameter

k_{\rm F} \xi

in Interpreting the Experimental Plot by Uemura et al.''}

The problem of crossover from BCS to Bose-Einstein condensation has recently attracted considerable interest owing to the discovery of high-

T_{\rm c}

cuprates. Their short coherence length,

\xi

, places these materials in the interesting region between BCS and Bose-Einstein condensation. In the paper of F. Pistolesi and G.C. Strinati (Phys. Rev. B {\bf 49}, 6356 (1994)), the Nozi\`eres and Schmitt-Rink approach (NSR) is taken, which is valid for the weak coupling regime. They derive a relation between

T_{\rm c}

and

T_{\rm F}

, which they insist is valid for any coupling strength. We present arguments that their assumptions are incorrect by using our fully self-consistent T-matrix formalism in two dimensions, and show that the NSR approach produces unphysical results in this case.