Beyond-mean-field analysis of the Townes soliton and its breathing mode
arXiv:2412.17078 · doi:10.21468/SciPostPhys.19.2.037
Abstract
By using the Bogoliubov perturbation theory we describe the self-bound ground state and excited breathing states of two-dimensional bosons with zero-range attractive interactions. Our results for the ground state energy and size improve previously known large- asymptotes and we better understand the crossover to the few-body regime. The breathing oscillations, absent at the mean-field level, result from the quantum-mechanical breaking of the mean-field scale symmetry. The breathing-mode frequency scales as at large .
arXiv commentpublished version
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