AI Article Synopsis
- The study introduces a method for calculating the nonlinear response of interacting integrable systems, providing accurate results when perturbations change slowly in both space and time.
- It highlights how the spatially resolved nonlinear response can differentiate between interacting and noninteracting systems, using the Lieb-Liniger gas as a key example.
- The research presents a way to compute Drude weights at finite temperatures and finds strong agreement with numerical results from the third-order response of the XXZ spin chain, while also identifying unique nonperturbative aspects of these systems.
Article 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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8449388 | PMC |
| http://dx.doi.org/10.1073/pnas.2106945118 | DOI Listing |
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