Universality in relaxation of spin helices under the $XXZ$- spin chain dynamics

• URL: http://arxiv.org/abs/2303.16632v2
• Date: Mon, 19 Jun 2023 10:09:48 GMT
• Title: Universality in relaxation of spin helices under the $XXZ$- spin chain dynamics
• Authors: Vladislav Popkov, Marko \v{Z}nidari\v{c} and Xin Zhang
• Abstract summary: We describe dynamics of transverse spin-helix state (SHS) under anisotropic Heisenberg XXZ spin chain evolution. Due to experimental relevance we especially focus on magnetization dynamics.
• Score: 2.69127499926164
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe dynamics of transverse spin-helix state (SHS) -- a product state with spatially rotating magnetization -- under anisotropic Heisenberg XXZ spin chain evolution. Due to experimental relevance we especially focus on magnetization dynamics. At long times the $U(1)$ symmetry of the Hamiltonian is restored, leading to the decay of transverse magnetization, which can be described as an exponential decay of a spatially harmonic profile. We show that the dependence of the short and intermediate-time decay timescale, which in principle depends on all different parameters, like the wavevector of the initial helix, the anisotropy, etc., can be described well by a single scaling function. We also briefly discuss the evolution of magnetization current.

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