Dynamics of spin helices in the diluted one-dimensional $XX$ model

• URL: http://arxiv.org/abs/2404.17558v2
• Date: Thu, 15 Aug 2024 18:35:58 GMT
• Title: Dynamics of spin helices in the diluted one-dimensional $XX$ model
• Authors: Darren Pereira, Erich J. Mueller,
• Abstract summary: Motivated by discrepancies between recent cold atom experiments and the associated theory, we explore the effect of immobile holes on the quantum dynamics of $x$-$z$ spin helices. We calculate the exact spin dynamics by mapping onto a system of non-interacting fermions, averaging over the distribution of holes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by discrepancies between recent cold atom experiments and the associated theory, we explore the effect of immobile holes on the quantum dynamics of $x$-$z$ spin helices in the one-dimensional $XX$ model. We calculate the exact spin dynamics by mapping onto a system of non-interacting fermions, averaging over the distribution of holes. At small hole densities we find that the helical spin pattern decays exponentially, with a pitch dependence that agrees with the experiments. At large hole densities we instead find persistent oscillations. While our analytic approach does not generalize to the $XXZ$ model with arbitrary anisotropies, we validate a matrix product state technique which might be used to model the experiments in those settings.

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