| Autor: |
Yasser Bezzaz, Léa Dubois, Isabelle Bouchoule |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
SciPost Physics Core, Vol 6, Iss 3, p 064 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2666-9366 |
| DOI: |
10.21468/SciPostPhysCore.6.3.064 |
| Popis: |
We consider the classical field integrable system whose evolution equation is the nonlinear Schrödinger equation with defocusing non-linearities, which is the classical limit of the quantum Lieb-Liniger model. We propose a simple derivation of the relation between two sets of conserved quantities: on the one hand the trace of the monodromy matrix, parameterized by the spectral parameter and introduced in the inverse-scattering framework, and on the other hand the rapidity distribution, a concept imported from the Lieb-Liniger model. To do so we use the definition of the rapidity distribution as the asymptotic momentum distribution after a very large expansion. We propose two different ways to derive the result, each one using a thought experiment that implements an expansion. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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