Emergence of generalized hydrodynamics in the non-local Luttinger model
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 betwee...
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| Format: | Article |
| Language: | English |
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SciPost
2020-09-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.9.3.037 |
| Summary: | 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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| ISSN: | 2542-4653 |