ArticleProceedings of the National Academy of Sciences of the United States of America2021
Hydrodynamic nonlinear response of interacting integrable systems.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Nonlinear Projection for Ballistic Correlation Functions: a Formula in Terms of Minimal Connected Covers.Journal of statistical physics · 2026Article
- Non-Gaussian diffusive fluctuations in Dirac fluids.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
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5 authors.
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Abstract
We develop a formalism for computing the nonlinear response of interacting integrable systems. Our results are asymptotically exact in the hydrodynamic limit where perturbing fields vary sufficiently slowly in space and time. We show that spatially resolved nonlinear response distinguishes interacting integrable systems from noninteracting ones, exemplifying this for the Lieb-Liniger gas. We give a prescription for computing finite-temperature Drude weights of arbitrary order, which is in excellent agreement with numerical evaluation of the third-order response of the XXZ spin chain. We identify intrinsically nonperturbative regimes of the nonlinear response of integrable systems.
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