TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.037
TI  - Beyond-mean-field analysis of the Townes soliton and its breathing mode
PY  - 2025/08/13
UR  - https://www.scipost.org/SciPostPhys.19.2.037
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 037
A1  - Petrov, Dmitry
AB  - 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 $\Omega\propto |B_N|/\sqrt{N}$ at large $N$.
ER  -

@Article{10.21468/SciPostPhys.19.2.037,
	title={{Beyond-mean-field analysis of the Townes soliton and its breathing mode}},
	author={Dmitry S. Petrov},
	journal={SciPost Phys.},
	volume={19},
	pages={037},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.037},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.037},
}