Hydrodynamic nonlinear response of interacting integrable systems.
basic_science · Level V
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- Record sourced from PubMed, PMID 34493671.
- Also identified by DOI 10.1073/pnas.2106945118 and PMC identifier 8449388.
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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.