Beyond-mean-field analysis of the Townes soliton and its breathing mode
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915494538248192 |
|---|---|
| author | Petrov, D. S. |
| author_facet | Petrov, D. S. |
| contents | 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 $Ω\propto |B_N|/\sqrt{N}$ at large $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beyond-mean-field analysis of the Townes soliton and its breathing mode Petrov, D. S. Quantum Gases 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 $Ω\propto |B_N|/\sqrt{N}$ at large $N$. |
| title | Beyond-mean-field analysis of the Townes soliton and its breathing mode |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2412.17078 |