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arXiv · 2003.10993

Emergence of generalized hydrodynamics in the non-local Luttinger model

Per Moosavi
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Abstract

We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system. This non-local Luttinger model is an exactly solvable quantum field theory somewhere between conformal and Bethe-ansatz integrable models. Applying the recent proposal of generalized hydrodynamics, we show that the model allows for fully explicit yet non-trivial solutions of the resulting Euler-scale hydrodynamic equations. Comparing with exact analytical non-equilibrium results valid at all time and length scales, we show perfect agreement at the Euler scale when the interactions are short range. A formal proof of the emergence of generalized hydrodynamics in the non-local Luttinger model is also given, and effects of long-range interactions are briefly discussed.

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BibTeXRIS

Per Moosavi. 2020-03-24. Emergence of generalized hydrodynamics in the non-local Luttinger model. https://doi.org/10.21468/scipostphys.9.3.037

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