تقرير
Rapidity distribution within the defocusing non-linear Schr\'odinger equation model
| العنوان: | Rapidity distribution within the defocusing non-linear Schr\'odinger equation model |
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| المؤلفون: | Bezzaz, Yasser, Dubois, Léa, Bouchoule, Isabelle |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Nonlinear Sciences |
| مصطلحات موضوعية: | Condensed Matter - Quantum Gases, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | We consider the classical field integrable system whose evolution equation is the nonlinear Schr\"odinger 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 an expansion. More precisely we use thought experiments implementing an expansion and we present two different ways to derive our result, based on different thought experiments which lead to different calculations. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2301.11098Test |
| رقم الانضمام: | edsarx.2301.11098 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |