Beyond-mean-field analysis of the Townes soliton and its breathing mode

2024/12/22 by Petrov, D. S. · 1 citation
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas)

paper · doi:10.48550/arxiv.2412.17078

Abstract

By using the Bogoliubov perturbation theory we describe the self-bound ground state and excited breathing states of N two-dimensional bosons with zero-range attractive interactions. Our results for the ground state energy B_N and size R_N improve previously known large-N 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 Ω∝ |B_N|/√(N) at large N.

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