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arXiv · 1904.10672

Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction

Arnaud Triay
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Abstract

We study the dipolar Gross-Piteavskii functional with the Lee-Huang-Yang (LHY) correction term without trapping potential and in the regime where the dipole-dipole interaction dominates the repulsive short-range interaction. We show that, above a critical mass, the functional admits minimizers and we prove their regularity and exponential decay. We also estimate the critical mass in terms of the parameters of the system.

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Arnaud Triay. 2019-04-24. Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction. https://arxiv.org/abs/1904.10672

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