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Emergence of generalized hydrodynamics in the non-local Luttinger model

by Per Moosavi

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Submission summary

Authors (as registered SciPost users): Per Moosavi
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-08-06
Date submitted: 2020-07-17 02:00
Submitted by: Moosavi, Per
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approach: Theoretical


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.

Author comments upon resubmission

Resubmission with minor adjustments and typos fixed following the referee reports.

List of changes

1) Typos fixed.
2) Minor stylistic adjustments at a few places.
3) Updated Eqs. (2.8) and (2.11) to make properties manifest; this has no effect on the results or the conclusions.
4) Inessential updates to Eqs. (5.2) and (5.3) to make consistent with the updates described in 3).

Published as SciPost Phys. 9, 037 (2020)

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