Guillaume Cecile | CY Cergy Paris Université (original) (raw)
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Papers by Guillaume Cecile
arXiv (Cornell University), Jul 11, 2023
Physical review, Aug 16, 2023
arXiv (Cornell University), Mar 15, 2023
arXiv (Cornell University), Nov 7, 2022
Motivated by recent cold atom experiments, we study the relaxation of spin helices in quantum XXZ... more Motivated by recent cold atom experiments, we study the relaxation of spin helices in quantum XXZ spin chains. The experimentally observed relaxation of spin helices follows scaling laws that are qualitatively different from linear-response transport. We construct a theory of the relaxation of helices, combining generalized hydrodynamics (GHD) with diffusive corrections and the local density approximation. Although helices are far from local equilibrium (so GHD need not apply a priori), our theory reproduces the experimentally observed relaxational dynamics of helices. In particular, our theory explains the existence of temporal regimes with apparent anomalous diffusion, as well as the asymmetry between positive and negative anisotropy regimes.
arXiv (Cornell University), Jul 11, 2023
Physical review, Aug 16, 2023
arXiv (Cornell University), Mar 15, 2023
arXiv (Cornell University), Nov 7, 2022
Motivated by recent cold atom experiments, we study the relaxation of spin helices in quantum XXZ... more Motivated by recent cold atom experiments, we study the relaxation of spin helices in quantum XXZ spin chains. The experimentally observed relaxation of spin helices follows scaling laws that are qualitatively different from linear-response transport. We construct a theory of the relaxation of helices, combining generalized hydrodynamics (GHD) with diffusive corrections and the local density approximation. Although helices are far from local equilibrium (so GHD need not apply a priori), our theory reproduces the experimentally observed relaxational dynamics of helices. In particular, our theory explains the existence of temporal regimes with apparent anomalous diffusion, as well as the asymmetry between positive and negative anisotropy regimes.