Hydrodynamic nonlinear response of interacting integrable systems

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

doi:10.1073/pnas.2106945118

Hydrodynamic nonlinear response of interacting integrable systems

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

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

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.

Original language	English (US)
Article number	e2106945118
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	118
Issue number	37
DOIs	https://doi.org/10.1073/pnas.2106945118
State	Published - Sep 14 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

General

Keywords

Generalized hydrodynamics
Integrable systems
Nonlinear response

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10.1073/pnas.2106945118

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T1 - Hydrodynamic nonlinear response of interacting integrable systems

AU - Fava, Michele

AU - Biswas, Sounak

AU - Gopalakrishnan, Sarang

AU - Vasseur, Romain

AU - Parameswaran, S. A.

PY - 2021/9/14

Y1 - 2021/9/14

N2 - 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.

AB - 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.

KW - Generalized hydrodynamics

KW - Integrable systems

KW - Nonlinear response

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JO - Proceedings of the National Academy of Sciences of the United States of America

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ER -

Hydrodynamic nonlinear response of interacting integrable systems

Abstract

All Science Journal Classification (ASJC) codes

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