Beyond-mean-field analysis of the Townes soliton and its breathing mode
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 be...
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| Format: | Article |
| Language: | English |
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SciPost
2025-08-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.19.2.037 |
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| Summary: | 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 $N$. |
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| ISSN: | 2542-4653 |