The Whitham Approach to the c→0 limit of The Lieb-Liniger Model and Generalized Hydrodynamics

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• Eldad Bettelheim (Hebrew University of Jerusalem)
• Thursday 20 October 2022, 16:00-16:30
• Seminar Room 1, Newton Institute.

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

The Whitham approach is a well-studied method to describe non-linear integrable systems. A similarly powerful approach has recently emerged that is applicable to quantum integrable systems, namely the generalized hydrodynamics approach. This talk aims at showing that the Whitham approach is the semiclassical limit of the generalized hydrodynamics approach by connecting the two formal methods explicitly on the example of the Lieb-Liniger model on the quantum side to the non-linear Schrödinger equation on the classical side in the c→0 limit, c being the interaction parameter. Quantum expectation values are shown to be computable through classical objects in this limit.

This talk is part of the Isaac Newton Institute Seminar Series series.

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