SciPost Submission Page
Emergence of generalized hydrodynamics in the non-local Luttinger model
by Per Moosavi
Submission summary
| Authors (as registered SciPost users): | Per Moosavi |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2003.10993v3 (pdf) |
| Date accepted: | Aug. 6, 2020 |
| Date submitted: | July 17, 2020, 2 a.m. |
| Submitted by: | Per Moosavi |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
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).
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)