Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models

Abstract

We present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and solve problems in a few lines of code. Moreover, iFluid can be extended to encompass any integrable model, and the algorithms for solving the GHD equations can be fully customized. We demonstrate how to use iFluid by solving the dynamics of three distinct systems: (i) The quantum Newton's cradle of the Lieb-Liniger model, (ii) a gradual field release in the XXZ-chain, and (iii) a partitioning protocol in the relativistic sinh-Gordon model.

arXiv comment25 pages, 5 figures, Submission to SciPost

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Cited by in corpus (38)

• Finite-temperature transport in one-dimensional quantum lattice models
• Correlation functions and transport coefficients in generalised hydrodynamics
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• Hydrodynamics of weak integrability breaking
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