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

Autor:	Petrov, D. S.
Rok vydání:	2024
Předmět:	Condensed Matter - Quantum Gases
Druh dokumentu:	Working Paper
Popis:	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 oscillatory breathing motion results from the quantum-mechanical breaking of the mean-field scaling symmetry. The breathing-mode frequency scales as $\Omega\propto |B_N|/\sqrt{N}$ at large $N$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.17078 Zobrazit plný text záznamu View this record from Arxiv