Journal article
Hydrodynamic non-linear response of interacting integrable systems
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 547.9KB, Terms of use)
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- Publisher copy:
- 10.1073/pnas.2106945118
Authors
- Publisher:
- National Academy of Sciences
- Journal:
- Proceedings of the National Academy of Sciences More from this journal
- Volume:
- 118
- Issue:
- 37
- Article number:
- e2106945118
- Publication date:
- 2021-09-07
- Acceptance date:
- 2021-08-06
- DOI:
- EISSN:
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1091-6490
- ISSN:
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0027-8424
- Language:
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English
- Keywords:
- Pubs id:
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1168843
- Local pid:
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pubs:1168843
- Deposit date:
-
2021-08-08
Terms of use
- Copyright holder:
- PNAS.
- Copyright date:
- 2021
- Rights statement:
- © 2021 Published under the PNAS license.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from National Academy of Sciences at: https://doi.org/10.1073/pnas.2106945118
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