Hydrodynamic nonlinear response of interacting integrable systems

Michele Fava, Sounak Biswas, Sarang Gopalakrishnan, Romain Vasseur, S. A. Parameswaran

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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.

Original languageEnglish (US)
Article numbere2106945118
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number37
StatePublished - Sep 14 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General


  • Generalized hydrodynamics
  • Integrable systems
  • Nonlinear response


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