NLSE: A Python package to solve the nonlinear Schrödinger equation

Tangui Aladjidi, C. Piekarski, Q. Glorieux
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Abstract

The nonlinear Schrödinger equation (NLSE) is a general nonlinear equation used to model the propagation of light in nonlinear media. This equation is mathematically isomorphic to the Gross-Pitaevskii equation (GPE) (Pitaevskij & Stringari, 2016) describing the evolution of cold atomic ensembles. Recently, the growing field of quantum fluids of light (Carusotto & Ciuti, 2013) has proven a fruitful testbed for several fundamental quantum and classical phenomena such as superfluidity (Michel et al., 2018) or turbulence (Baker-Rasooli et al., 2023). Providing a flexible, modern and performant framework to solve these equations is crucial to model realistic experimental scenarios.
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NLSE:求解非线性薛定谔方程的 Python 软件包
非线性薛定谔方程(NLSE)是一个通用非线性方程,用于模拟光在非线性介质中的传播。该方程在数学上与描述冷原子团演变的格罗斯-皮塔耶夫斯基方程(GPE)(Pitaevskij & Stringari, 2016)同构。最近,不断发展的光量子流体领域(Carusotto & Ciuti,2013 年)已被证明是几种基本量子和经典现象(如超流体(Michel 等人,2018 年)或湍流(Baker-Rasooli 等人,2023 年))的富有成效的试验平台。提供一个灵活、现代和高性能的框架来求解这些方程,对于模拟现实的实验场景至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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