Tunable superdiffusion in integrable spin chains using correlated initial states

• URL: http://arxiv.org/abs/2306.04682v1
• Date: Wed, 7 Jun 2023 18:00:02 GMT
• Title: Tunable superdiffusion in integrable spin chains using correlated initial states
• Authors: Hansveer Singh, Michael H. Kolodrubetz, Sarang Gopalakrishnan and Romain Vasseur
• Abstract summary: diffusive spin transport originates from quasiparticle charge fluctuations inherited from the initial state's magnetization Gaussian fluctuations. We show that ensembles of initial states with quasi-long range correlations lead to superdiffusive spin transport with a tunable dynamical exponent.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Although integrable spin chains only host ballistically propagating particles they can still feature diffusive spin transport. This diffusive spin transport originates from quasiparticle charge fluctuations inherited from the initial state's magnetization Gaussian fluctuations. We show that ensembles of initial states with quasi-long range correlations lead to superdiffusive spin transport with a tunable dynamical exponent. We substantiate our prediction with numerical simulations and explain how deviations arise from finite time and finite size effects.

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