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Beyond-mean-field analysis of the Townes soliton and its breathing mode
by Dmitry S. Petrov
Submission summary
| Authors (as registered SciPost users): | Dmitry Petrov |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202412_00042v2 (pdf) |
| Date submitted: | April 15, 2025, 7:46 p.m. |
| Submitted by: | Petrov, Dmitry |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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 BN and size RN 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 Ω∝|BN|/√N at large N.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
I am grateful to the Referees for their careful reading of the manuscript, for their very positive opinion, and for valuable comments and suggestions. I have modified the manuscript according to their suggestions. I hope that you find the revised version suitable for publication.
Sincerely,
Dmitry Petrov
List of changes
The derivation of the mean-field action is rewritten and I discuss the mean-field evolution in more detail (Sec.2).
The hierarchy of energy scales and the logic behind the perturbative expansion are explained in a new paragraph in the end of Sec.2.
I modified the derivation of the formula for the beyond-mean-field correction (Sec.3). The regularization is now introduced from the very beginning, the logarithmic dependence on the cutoff is derived explicitly, and the meaning of xi is explained more clearly.
I modified the discussion on the adiabaticity in Sec.4. I added a few references as recommended by Referee 1.
A few misprints are fixed.
No modification of the results or figures.