A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation
Abstract A novel Bogomol’nyi–Prasad–Sommerfield (BPS) bound for the Gross–Pitaevskii equations in two spatial dimensions is presented herein. The energy can be bounded from below in terms of the combination of two boundary terms, one related to the vorticity (but “dressed” by the condensate profile)...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-08-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14470-w |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849226024835874816 |
|---|---|
| author | Fabrizio Canfora Pablo Pais |
| author_facet | Fabrizio Canfora Pablo Pais |
| author_sort | Fabrizio Canfora |
| collection | DOAJ |
| description | Abstract A novel Bogomol’nyi–Prasad–Sommerfield (BPS) bound for the Gross–Pitaevskii equations in two spatial dimensions is presented herein. The energy can be bounded from below in terms of the combination of two boundary terms, one related to the vorticity (but “dressed” by the condensate profile) and the second to the “skewness” of the configurations. The bound is saturated by configurations that satisfy a system of two first-order partial differential equations. When such a BPS system is satisfied, the Gross–Pitaevskii equations are also satisfied. The analytic solutions of this BPS system in the present manuscript represent configurations with fractional vorticity living in an annulus. Using these techniques, we present the first analytic examples of this kind. The hydrodynamic interpretation of the BPS system is discussed, and the implications of these results are outlined. |
| format | Article |
| id | doaj-art-e0c67f606c9948fe81198a18da707ddc |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e0c67f606c9948fe81198a18da707ddc2025-08-24T11:47:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-08-0185811510.1140/epjc/s10052-025-14470-wA Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equationFabrizio Canfora0Pablo Pais1Centro de Estudios Científicos (CECs)Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de ChileAbstract A novel Bogomol’nyi–Prasad–Sommerfield (BPS) bound for the Gross–Pitaevskii equations in two spatial dimensions is presented herein. The energy can be bounded from below in terms of the combination of two boundary terms, one related to the vorticity (but “dressed” by the condensate profile) and the second to the “skewness” of the configurations. The bound is saturated by configurations that satisfy a system of two first-order partial differential equations. When such a BPS system is satisfied, the Gross–Pitaevskii equations are also satisfied. The analytic solutions of this BPS system in the present manuscript represent configurations with fractional vorticity living in an annulus. Using these techniques, we present the first analytic examples of this kind. The hydrodynamic interpretation of the BPS system is discussed, and the implications of these results are outlined.https://doi.org/10.1140/epjc/s10052-025-14470-w |
| spellingShingle | Fabrizio Canfora Pablo Pais A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation European Physical Journal C: Particles and Fields |
| title | A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation |
| title_full | A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation |
| title_fullStr | A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation |
| title_full_unstemmed | A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation |
| title_short | A Bogomol’nyi–Prasad–Sommerfield bound with a first-order system in the 2D Gross–Pitaevskii equation |
| title_sort | bogomol nyi prasad sommerfield bound with a first order system in the 2d gross pitaevskii equation |
| url | https://doi.org/10.1140/epjc/s10052-025-14470-w |
| work_keys_str_mv | AT fabriziocanfora abogomolnyiprasadsommerfieldboundwithafirstordersysteminthe2dgrosspitaevskiiequation AT pablopais abogomolnyiprasadsommerfieldboundwithafirstordersysteminthe2dgrosspitaevskiiequation AT fabriziocanfora bogomolnyiprasadsommerfieldboundwithafirstordersysteminthe2dgrosspitaevskiiequation AT pablopais bogomolnyiprasadsommerfieldboundwithafirstordersysteminthe2dgrosspitaevskiiequation |