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 |
| _version_ | 1818254979762225152 |
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| author | Per Moosavi |
| author_facet | Per Moosavi |
| author_sort | Per Moosavi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T17:04:34Z |
| format | Article |
| id | doaj.art-01fcf161420c4dcb81ee03bfe04e2d78 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-12T17:04:34Z |
| publishDate | 2020-09-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-01fcf161420c4dcb81ee03bfe04e2d782022-12-22T00:18:03ZengSciPostSciPost Physics2542-46532020-09-019303710.21468/SciPostPhys.9.3.037Emergence of generalized hydrodynamics in the non-local Luttinger modelPer MoosaviWe 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.https://scipost.org/SciPostPhys.9.3.037 |
| spellingShingle | Per Moosavi Emergence of generalized hydrodynamics in the non-local Luttinger model SciPost Physics |
| title | Emergence of generalized hydrodynamics in the non-local Luttinger model |
| title_full | Emergence of generalized hydrodynamics in the non-local Luttinger model |
| title_fullStr | Emergence of generalized hydrodynamics in the non-local Luttinger model |
| title_full_unstemmed | Emergence of generalized hydrodynamics in the non-local Luttinger model |
| title_short | Emergence of generalized hydrodynamics in the non-local Luttinger model |
| title_sort | emergence of generalized hydrodynamics in the non local luttinger model |
| url | https://scipost.org/SciPostPhys.9.3.037 |
| work_keys_str_mv | AT permoosavi emergenceofgeneralizedhydrodynamicsinthenonlocalluttingermodel |