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arXiv · 2306.04682

Tunable superdiffusion in integrable spin chains using correlated initial states

Hansveer Singh·Michael H. Kolodrubetz·Sarang Gopalakrishnan·Romain Vasseur
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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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Hansveer Singh, Michael H. Kolodrubetz, Sarang Gopalakrishnan, Romain Vasseur. 2023-06-07. Tunable superdiffusion in integrable spin chains using correlated initial states. https://doi.org/10.1103/physrevlett.132.176303

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