SciPost Submission Page
Emergence of generalized hydrodynamics in the non-local Luttinger model
by Per Moosavi
|As Contributors:||Per Moosavi|
|Arxiv Link:||https://arxiv.org/abs/2003.10993v3 (pdf)|
|Date submitted:||2020-07-17 02:00|
|Submitted by:||Moosavi, Per|
|Submitted to:||SciPost Physics|
|Subject area:||Mathematical Physics|
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.
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
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).
Submission & Refereeing History
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